Bartleby Sitemap - Textbook Solutions
All Textbook Solutions for PREALGEBRA
Solve an Equation Using the General Strategy
In the following exercises. solve the linear equation using the general strategy.
164. 8 = 4(x – 3)
Solve an Equation Using the General Strategy
In the following exercises. solve the linear equation using the general strategy.
165. 9 = 3(x-3)
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
166. 20(y – 8) = -60
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
167. 14(y -6) = -42
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
168. -4(2x + 1) = 16
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
169. -7(3n + 4) = 14
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
170. 3(10 +5r) = 0
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
171. 8(3 +3p) = 0
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
172.
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
173.
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
174. 5(1.2u – 4.8) = -12
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
175. 4(2.5v – 0.6) = 7.6
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
176. 0.2(30n + 50) = 28
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
177. 0.5(16m + 34) =-15
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
178. –(w -6) = 24
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
179. –(t – 8) = 17
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
180. 9(3a + 5) + 9 = 54
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
181. 8(6b – 7) + 23 =63
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
182. 10 + 3(z +4) = 19
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
183. 13 + 2(m – 4) = 17
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
184. 7 + 5(4 – q) = 12
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
185. –9 + 6(5 –k) = 12
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
186. 15 – (3r + 8) = 28
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
187. 18 – (9r +7) = –16
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
188. 11 –4(y – 8) = 43
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
189. 18 -2(y – 3) = 32
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
190. 9(p – 1) = 6(2p –1 )
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
191. 3(4n – 1) – 2 = 8n +3
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
192. 9(2m -3) – 8 = 4m + 7
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
193. 5(x – 4) -4x = 14
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
194. 8(x – 4 ) – 7x = 14
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
195. 5 +6(3x -5) = -3 + 2(8s – 1)
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
196. -12 + 8(x – 5) = -4 + 3(5x -2)
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
197. 4(x -1) – 8 = 6(3x – 2) – 7
Solve an Equation Using the General Strategy
In the following exercises, solve the linear equation using the general strategy.
198. 7(2x – 5) = 8(4x -1) - 9
Everyday Math
199. Making a fence Jovani has a fence around the rectangular garden in his backyard. The perimeter of the fence is 150 feet. The length is 15 feet more than the width. Find the width, w, by solving the equation
150 = 2(w + 15) + 2w.
Everyday Math
200. Concert tickets At a school concert, the total value of tickets sold was $1506. Student tickets sold for $6 and adult tickets sold for $9. The number of adult tickets sold was 5 less than 3 times the number of student tickets. Find the number of student tickets sold, s, by solving the equation 6s+9(3s – 5) = 1506.
Everyday Math
201. Coins Rhonda has $1 .90 in nickels and dimes. The number of dimes is one less than twice the number of nickels. Find the number of nickels, n, by solving the equation O.05n + 0.10(2n — 1) = 1.90.
Everyday Math
202 Fencing Micah has 74 feet of fencing to make a rectangular dog pen In his yard. He wants the length to be 25 feet more than the width. Find the length, I.. by solving the equation 2L + 2(L — 25) = 74.
Writing Exercises
201 When solving an equation with variables on both sides, why is it usually better to choose the side with the larger coefficient as the variable side?
Writing Exercises
204 Solve the equation 10x + 14 = –2x + 38, explaining all the steps of your solution.
Writing Exercises
205. What Is the first step you take when solving the equation 3 — 7(y— 4) = 38? Explain why this is your first step.
Writing Exercises
206 Solve the equation = 3x + 4 explaining all the steps of your solution as in the examples in this section.
Writing Exercises
207. Using your own words, list the steps in the General Strategy for Solving Linear Equations.
Writing Exercises
208. Explain why you should simplify both sides of an equation as much as possible before collecting the variable terms to one side and the constant terms to the other side.
TRY IT:: 8.73
Solve:
TRY IT:: 8.74
Solve:
TRY IT:: 8.75
Solve: .
TRY IT:: 8.76
Solve: .
TRY IT:: 8.77
Solve:
TRY IT:: 8.78
Solve:
TRY IT:: 8.79
Solve:
TRY IT:: 8.80
Solve:
TRY IT:: 8.81
Solve:
TRY IT:: 8.82
Solve: .
TRY IT:: 8.83
Solve: 0.6x – 1 = 11.
TRY IT:: 8.84
Solve: 1.2x – 3 = 9.
TRY IT:: 8.85
Solve: 0.14h +0.12 =0.35h – 2.4.
TRY IT:: 8.86
Solve: 0.65k – 0.1 = 0.4k – 0.35.
TRY IT:: 8.87
Solve: 0.25n + 0.05(n + 5) = 2.95.
TRY IT:: 8.88
Solve: 0.10d + 0.05(d -) = 2.15.
209. Insurance Vince’s car insurance has a $500 deductible. Find the amount the insurance company will pay, p. for an $1800 claim by solving the equation 500 +p= 1800.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
210.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
211.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
212.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
213.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
214.
In the following exercises, solve the equation by clearing the fractions.
215.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
216.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
217.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
218.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
219.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
220.
In the following exercises, solve the equation by clearing the fractions.
221.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
222.
Solve equations with fractions coefficients
In the following exercises, solve the equation by clearing the fractions.
223.
Practice Makes Perfec t
Solve equations with fraction coefficients
In the following exercises, solve the equation by clearing the fractions.
224.
Practice Makes Perfec t
Solve equations with fraction coefficients
In the following exercises, solve the equation by clearing the fractions.
225.
Practice Makes Perfec t
Solve equations with fraction coefficients
In the following exercises, solve the equation by clearing the fractions.
226.
Practice Makes Perfec t
Solve equations with fraction coefficients
In the following exercises, solve the equation by clearing the fractions.
277.
Practice Makes Perfec t
Solve equations with fraction coefficients
In the following exercises, solve the equation by clearing the fractions.
228.
Practice Makes Perfec t
Solve equations with fraction coefficients
In the following exercises, solve the equation by clearing the fractions.
229.
Practice Makes Perfec t
Solve equations with fraction coefficients
In the following exercises, solve the equation by clearing the fractions.
230.
Practice Makes Perfec t
Solve equations with fraction coefficients
In the following exercises, solve the equation by clearing the fractions.
231.
Practice Makes Perfec t
Solve equations with fraction coefficients
In the following exercises, solve the equation by clearing the fractions.
232.
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
233. 0.6y + 3 = 9
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
234. 0.4y – 4 = 2
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
235. 3.6j – 2 = 5.2
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
236. 2.1k +3 = 7.2
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
237. 0.4x + 0.6 = 0.5x – 1.2
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
238. 0.7x + 0.4 = 0.6x +2.4
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
239. 0.23x + 1.47 = 0.37x – 1.05
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
240. 0.48x + 1.56 = 0.5285x – 0.64
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
241. 0.9x – 1.25 = 0.75 + 1.75
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
242. 1.2x – 0.91 = 0.8x +2.29
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
143. 0.05n + 0.10(n + 8) = 2.15
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
244. 0.05n + .10(n + 7) = 3.55
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
245. 0.10d + 0.25(d + 5) = 4.05
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
246. 0.10d + 0.25(d +7) = 5.25
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
247. 0.05(q -5) + 0.25q = 3.052
Solve Equations with Decimal Coefficients
In the following exercises, solve the equation by clearing the decimals.
248. 0.05(q – 8) + 0.25q = 4.10
Everyday Math
249 Coins Taylor has $2.O() in dimes and pennies. The number of pennies is 2 more than the number of dimes. Solve the equation O.10d + 0.01(d + 2) = 2 for d, the number of dimes.
Everyday Math
250. Stamps Travis bought $9.45 worth of 49-cent stamps and 21-cent stamps. The number of 21-cent stamps was 5 less than the number of 49-cent stamps. Solve the equation 0.49s + 0.21(s — 5) = 9.45 for S, to find the number of 49-cent stamps Travis bought.
Writing Exercises
251. Explain how to find the least common denominator of .
Writing Exercises
252. If an equation has several fractions, how does multiplying both sides by the LCD make it easier to solve?
Writing Exercises
253 If an equation has fractions only on one side, why do you have to multiply both sides of the equation by the LCD?
Writing Exercises
254. In the equation O.35x + 2.1 = 3.K5, what is the LCD? How do you know?
8.1 Solve Equations using the Subtraction and Addition Properties of Equality
In the following exercises, determine whether the given number is a solution o the equation.
255. x + 16 = 31, x =15
8.1 Solve Equations using the Subtraction and Addition Properties of Equality
In the following exercises, determine whether the given number is a solution o the equation.
256. w – 8 = 5, w = 3
8.1 Solve Equations using the Subtraction and Addition Properties of Equality
In the following exercises, determine whether the given number is a solution o the equation.
257. —9n = 45, n = 54
8.1 Solve Equations using the Subtraction and Addition Properties of Equality
In the following exercises, determine whether the given number is a solution o the equation.
258. 4a = 72, a =18
In the following exercises, solve the equation using the Subtraction Property of Equality.
259. x +7 =19
In the following exercises, solve the equation using the Subtraction Property of Equality.
260. y + 2 = –6
In the following exercises, solve the equation using the Subtraction Property of Equality.
261.
In the following exercises, solve the equation using the Subtraction Property of Equality.
262. n + 3.6 = 5.1
In the following exercises, solve the equation using the Subtraction Property of Equality.
263. u – 7 = 10
In the following exercises, solve the equation using the Subtraction Property of Equality.
264. x – 9 = –4
In the following exercises, solve the equation using the Addition Property of Equality.
265.
In the following exercises, solve the equation using the Subtraction Property of Equality
266. p – 4.8 = 14
In the following exercises, solve the equation.
267. n –12 = 32
In the following exercises, solve the equation.
268. y + 16 = –9
In the following exercises, solve the equation.
269.
In the following exercises, solve the equation.
270. d – 3.96 = 8.2
In the following exercises, solve the equation.
271. y + 8 –15 = –3
In the following exercises, solve the equation.
272. 7x + 10 – 6x + 3 = 5
In the following exercises, solve the equation.
273. 6(n – 1) – 5n = –14
In the following exercises, solve the equation.
274.
8(3p + 5) – 23(p – 1) = 35
In the following exercises, translate each English sentence into an algebraic equation and then solve it.
275. The sum of –6 and m is 25.
- In the following exercises, translate each English sentence into an algebraic equation and then solve it.
. 276. Four less than n is 13.
In the following exercises, translate into an algebraic equation and solve.
277. Rochelle’s daughter is 11 years old. Her son is 3 years
younger. How old is her son?
In the following exercises, translate into an algebraic equation and solve.
278. Tan weighs 146 pounds. Minh weighs 15 pounds more than Tan. How much does Minh weigh?
In the following exercises, translate into an algebraic equation and solve.
279. Peter paid $9.75 to go to the movies, which was $46.25 less than he paid to go to a concert. How much did he pay for the concert?
In the following exercises, translate into an algebraic equation and solve.
280. Elissa earned $152.84 this week, which was $21.65 more than she earned last week. How much did she earn last week?
8.2 Solve Equations using the Division and Multiplication Properties of Equality
In the following exercises, solve each equation using the Division Property of Equality.
281. 8x = 72
8.2 Solve Equations using the Division and Multiplication Properties of Equality
In the following exercises, solve each equation using the Division Property of Equality.
282. 13a = –65
8.2 Solve Equations using the Division and Multiplication Properties of Equality
In the following exercises, solve each equation using the Division Property of Equality.
283. 0.25p = 5.25
8.2 Solve Equations using the Division and Multiplication Properties of Equality
In the following exercises, solve each equation using the Division Property of Equality.
284. –y = 4
8.2 Solve Equations using the Division and Multiplication Properties of Equality
In the following exercises, solve each equation using the Division Property of Equality.
285.
8.2 Solve Equations using the Division and Multiplication Properties of Equality
In the following exercises, solve each equation using the Division Property of Equality.
286.
8.2 Solve Equations using the Division and Multiplication Properties of Equality
In the following exercises, solve each equation using the Division Property of Equality.
287.
8.2 Solve Equations using the Division and Multiplication Properties of Equality
In the following exercises, solve each equation using the Division Property of Equality.
288.
In the following exercises, solve each equation.
289. -18m = –72
In the following exercises, solve each equation.
290.
In the following exercises, solve each equation.
291. 0.45x = 6.75
In the following exercises, solve each equation.
292.
In the following exercises, solve each equation.
293. 5r – 3r + 9r = 35 -2
In the following exercises, solve each equation.
294. 24x + 8x – 11x = –7 –14
8.3 Solve Equations with Variables and Constants on Both Sides
In the following exercises, solve the equations with constants on both sides.
295. 8p + 7 = 47
8.3 Solve Equations with Variables and Constants on Both Sides
In the following exercises, solve the equations with constants on both sides.
296. 10w – 5 = 65
8.3 Solve Equations with Variables and Constants on Both Sides
In the following exercises, solve the equations with constants on both sides.
297. 3x + 19 = -47
8.3 Solve Equations with Variables and Constants on Both Sides
In the following exercises, solve the equations with constants on both sides.
298. 32 = –4–9
In the following exercises, solve the equations with variables on both sides.
299. 7y = 6y – 13
In the following exercises, solve the equations with variables on both sides.
300. 5a + 21 = 2a
In the following exercises, solve the equations with variables on both sides.
301. k = –6k –35
In the following exercises, solve the equations with variables on both sides.
302.
In the following exercises, solve the equations with variables on both sides.
303. 12x – 9 = 3x + 45
In the following exercises, solve the equations with variables on both sides.
304. 5n – 20 = –7n – 80
In the following exercises, solve the equations with variables on both sides.
305. 4u + 16 = –196 – u
In the following exercises, solve the equations with variables on both sides.
306.
In the following exercises, solve each linear equation using the general strategy.
307. 6(x + 6) = 24
In the following exercises, solve each linear equation using the general strategy.
308. 9(2p – 5) = 72
In the following exercises, solve each linear equation using the general strategy.
309. –(s + 4) = 18
In the following exercises, solve each linear equation using the general strategy.
310. 8 + 3(n – 9) = 17
In the following exercises, solve each linear equation using the general strategy.
311. 23 – 3(y – 7) = 8
In the following exercises, solve each linear equation using the general strategy.
312.
In the following exercises, solve each linear equation using the general strategy.
313. 8(r – 2) = 6(r + 10)
In the following exercises, solve each linear equation using the general strategy.
314. 5 +7(2 – 5x) = 2(9x + 1) – (13x – 57)
In the following exercises, solve each linear equation using the general strategy.
315. 4(3.5y + 0.25) = 365
In the following exercises, solve each linear equation using the general strategy.
316. 0.25(q – 8) = 0.1 (q + 7)
8.4 Solve Equations with Fraction or Decimal Coefficients
In the following exercises, solve each equation by clearing the fractions.
317.
8.4 Solve Equations with Fraction or Decimal Coefficients
In the following exercises, solve each equation by clearing the fractions.
318.
8.4 Solve Equations with Fraction or Decimal Coefficients
In the following exercises, solve each equation by clearing the fractions.
319.
8.4 Solve Equations with Fraction or Decimal Coefficients
In the following exercises, solve each equation by clearing the fractions.
320.
In the following exercises, solve each equation by clearing the decimals.
321. 0.8x – 0.3 = 0.7x + 0.2
In the following exercises, solve each equation by clearing the decimals.
322. 0.36u + 2.55 = 0.41u + 6.8
In the following exercises, solve each equation by clearing the decimals.
323. 0.6p – 1.9 = 0.78p + 1.7
In the following exercises, solve each equation by clearing the decimals.
324. 0.10d + 0.05(d – 4 ) = 2.05
PRACTICE TEST
325. Determine whether each number is a solution to the equation.
(a) 6
(b)
In the following exercises, solve each equation.
326. n –18 = 31
In the following exercises, solve each equation.
327. 9c = 144
In the following exercises, solve each equation.
328. 4y – 8 = 16
In the following exercises, solve each equation.
329. –8x – 15 + 9x – 1 = -21
In the following exercises, solve each equation.
330. -15a = 120
In the following exercises, solve each equation.
331.
In the following exercises, solve each equation.
332. x + 3.8 = 8.2
In the following exercises, solve each equation.
333. 10y = –5y + 60
In the following exercises, solve each equation.
334. 8n + 2 = 6n + 12
In the following exercises, solve each equation.
335. 9m – 2 – 4m + m = 42 – 8
In the following exercises, solve each equation.
336. –5(2x + 1) = 45
In the following exercises, solve each equation.
337. –(d + 9) = 23
In the following exercises, solve each equation.
338.
In the following exercises, solve each equation.
339. 2(6x + 5) – 8 = –22
In the following exercises, solve each equation.
340. 8(3a + 5) – 74(4a –3) = 20 –3a
In the following exercises, solve each equation.
314.
In the following exercises, solve each equation.
342. 0.1d + 0.25(d + 8) = 4.1
In the following exercises, solve each equation.
343. Translate and solve: The difference of twice x and 4 is 16.
In the following exercises, solve each equation.
344. Samuel paid $25.82 for gas this week, which was $3.47 less than he paid last week. How much did he pay last week?
TRY IT ::9.1 Joaquin bought a bookcase on sale for $120, which was two-thirds the original price. What was the original price of the bookcase?TRY IT ::92 Two-fifths of the people in the senior center dining room are men. If there are 16 men, what is the total number of people in the dining room?TRY IT:: 9.3 Guillermo bought textbooks and notebooks at the bookstore. The number of textbooks was 3 more than the number of notebooks. He bought 5 textbooks. How many notebooks did he buy?TRY IT : :9.4 Gerry worked Sudoku puzzles and crossword puzzles this week. The number of Sudoku puzzles he completed is seven more than the number of crossword puzzles. He completed 14 Sudoku puzzles. Hoy many crossword puzzles did he complete?TRY IT ::9.5 Pilar’s rent increased by 4%. The increase was $38. What was the original amount of Pilar’s rent?TRY IT ::9.6 Steve saves 12% of his paycheck each month. If he saved$ 504 last month, how much was his paycheck?TRY IT :: 9.7 The difference of a number and eight is 17. Find the number.TRY IT ::9.8 The difference of a number and eleven is —7. Find the number.TRY IT ::99 The sum of four times a number and two is 14. Find the number.TRY IT ::9.10 The sum of three times a number and seven is 25. Find the number.TRY IT ::9.11 One number is six more than another. The sum of the numbers is twenty-four. Find the numbers.TRY IT ::9.12 The sum of two numbers is fifty-eight. One number is four more than the other. Find the numbers.TRY IT ::9.13 The sum of two numbers is negative twenty-three. One number is7 less than the other. Find the numbers.TRY IT ::9.14 The sum of two numbers is negative eighteen. One number is 40 more than the other. Find the numbers.TRY IT:: 9.15 One number is eight more than twice another. Their sum is negative four. Find the numbers.TRY IT ::9.16 One number is three more than three times another. Their sum is negative five. Find the numbers.TRY IT::9.17 The sum of two consecutive integers is 95. Find the numbers.TRY IT ::9.18 The sum of two consecutive integers is —31. Find the numbers.TRY IT ::9.19 Find three consecutive integers whose sum 96.TRY IT ::9.20 Find three consecutive integers whose sum is -36.Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. 1. Two-thirds of the children in the fourth-grade class are girls. If there are 20 girls, what is the total number of children in the class?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. 2. Three-fifths of the members of the school choir are women. If there are 24 women, what is the total number of choir members?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. 3. Zachary has 25 country music CDs, which is one-fifth of his CD collection. How many CDs does Zachary have?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. One-fourth of the candies in a bag of are red. If there are 23 red candies, how many candies are in the bag?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. 5. There are 16 girls in a school club. The number of girls is 4 more than twice the number of boys. Find the number of boys in the club.Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. There are 18 Cub Scouts in Troop 645. The number of scouts is 3 more than five times the number of adult leaders. Find the number of adult leaders.Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. 7. Lee is emptying dishes and glasses from the dishwasher. The number of dishes is 8 less than the number of glasses. If there are 9 dishes, what is the number of glasses?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. The number of puppies in the pet store window is twelve less than the number of dogs in the store. If there are 6 puppies in the window, what is the number of dogs in the store?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. After 3 months on a diet. Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa’s original weight?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. Tricia got a 6% raise on her weekly salary. The raise was $30 per week. What was her original weekly salary?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. 11. Tim left a S9 tip for a $50 restaurant bill. What percent tip did he leave?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. 12. Rashid left a $15 tip for a $75 restaurant bill. What percent tip did he leave?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences. 13. Yuki bought a dress on sale for $72. The sale price was 60% of the original price. What was the original price of the dress?Use a Problem-solving Strategy for Word Problems In the following exercises, use the problem-solving strategy for word problems to solve. Answer in complete sentences Kim bought a pair of shoes on sale for $40.50. The sale price was 45% of the original price. What was the original price of the shoes?Solve Number Problems In the following exercises, solve each number word problem. The sum of a number and eight is 12. Find the number.Solve Number Problems In the following exercises, solve each number word problem. The sum of a number and nine is 17. Find the number.Solve Number Problems In the following exercises, solve each number word problem. The difference of a number and twelve is 3. Find the number.Solve Number Problems In the following exercises, solve each number word problem. The difference of a number and eight is 4. Find the number.Solve Number Problems In the following exercises, solve each number word problem. The sum of three times a number and eight is 23. Find the number.Solve Number Problems In the following exercises, solve each number word problem. The sum of twice a number and six is 14. Find the number.Solve Number Problems In the following exercises, solve each number word problem. The difference of twice a number and seven is 17. Find the number.Solve Number Problems In the following exercises, solve each number word problem. The difference of four times a number and seven is 21. Find the number.Solve Number Problems In the following exercises, solve each number word problem. Three times the sum of a number and nine is 12. Find the number.Solve Number Problems In the following exercises, solve each number word problem. Six times the sum of a number and eight is 30. Find the number.Solve Number Problems In the following exercises, solve each number word problem. One number is six more than the other. Their sum is forty-two. Find the numbers.Solve Number Problems In the following exercises, solve each number word problem. One number is five more than the other. Their sum is thirty-three. Find the numbers.
Solve Number Problems In the following exercises, solve each number word problem. The sum of two numbers is twenty-seven. One number is seven less than the other. Find the numbers.Solve Number Problems In the following exercises, solve each number word problem. A number is one more than twice another number. Their sum is negative five. Find the numbers.Solve Number Problems In the following exercises, solve each number word problem. One number is six more than five times another. Their sum is six. Find the numbers.Solve Number Problems In the following exercises, solve each number word problem. The sum of two numbers is fourteen. One number is two less than three times the other. Find the numbers.Solve Number Problems In the following exercises, solve each number word problem. The sum of two numbers is zero. One number is nine less than twice the other. Find the numbers.Solve Number Problems In the following exercises, solve each number word problem. One number is fourteen less than another. If their sum is increased by seven, the result is 85. Find the numbers.Solve Number Problems In the following exercises, solve each number word problem. One number is eleven less than another. If their sum is increased by eight, the result is 71. Find the numbers.Solve Number Problems In the following exercises, solve each number word problem. The sum of two consecutive integers is 77. Find the integers.Solve Number Problems In the following exercises, solve each number word problem. The sum of two consecutive integers is 89. Find the integers.Solve Number Problems In the following exercises, solve each number word problem. The sum of two consecutive integers is —23. Find the integers.Solve Number Problems In the following exercises, solve each number word problem. The sum of two consecutive integers is —37. Find the integers.Solve Number Problems In the following exercises, solve each number word problem. The sum of three consecutive integers is 78. Find the integers.Solve Number Problems In the following exercises, solve each number word problem. The sum of three consecutive integers is 60. Find the integers.Solve Number Problems In the following exercises, solve each number word problem. Find three consecutive integers whose sum is —36.Solve Number Problems In the following exercises, solve each number word problem. Find three consecutive integers whose sum is —3.Shopping Patty paid $35 for a purse on sale for $10 off the original price. What was the original price of the purse?
Shopping Minh spent $6.25 on 5 sticker books to give his nephews. Find the cost of each sticker book.Shopping Alicia bought a package of 8 peaches for $3.20. Find the cost of each peach.Shopping Tom paid $1,166.40 for a new refrigerator, including $86.40 tax. What was the price of the refrigerator before tax?Shopping Kenji paid $2,279 for a new living room set, including $129 tax. What was the price of the living room set before tax?
When you start to solve a word problem, how do you decide what to let the variable represent?TRY IT ::9.21 Michaela has $2.05 in dimes and nickels in her change purse. She has seven more dimes than nickels. How many coins of each type does she have?TRY IT :: 9.22 Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?TRY IT ::9.23 Sumanta has $4.20 in nickels and dimes in her desk drawer . She has twice as many nickels as dimes. How many coins of each type does she have?TRY IT ::9.24 Alison has three times as many dimes as quarters in her purse. She has $9.35 altogether. How many coins of each type does she have?TRY IT ::9.25 Jesse has $6.55 worth of quarters and nickels in his pocket. The number of nickels is five more than two times the number of quarters. How many nickels and how many quarters does Jesse have?TRY IT ::9.26 Elaine has $7.00 in dimes and nickels in her coin jar. The number of dimes that Elaine has is seven less than three times the number of nickels. How many of each coin does Elaine have?TRY IT ::9.27 The first day of a water polo tournament, the total value of tickets sold was $17,610. One-day passes sold for $20 and tournament passes sold for $30. The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold?TRY IT:: 9.28 At the movie theater, the total value of tickets sold was $2,612.50. Adult tickets sold for $10 each and senior/ child tickets sold for $7.50 each. The number of senior/child tickets sold was 25 less than twice the number of adult tickets sold. How many senior/child tickets and how many adult tickets were sold?TRY IT ::9.29 Eric paid $16.64 for stamps so he could mail thank you notes for his wedding gifts. The number of 49-cent stamps was eight more than twice the number of 8-cent stamps. How many 49-cent stamps and how many 8-cent stamps did Eric buy?TRY IT:: 9.30 Kailee paid $14.84 for stamps. The number of 49-cent stamps was four less than three times the number of 21-cent stamps. How many 49-cent stamps and how many 21-cent stamps did Kailee buy?Solve Coin Word Problems In the following exercises, solve the coin word problems. Jaime has $2.60 in dimes and nickels. The number of dimes is 14 more than the number of nickels. How many of each coin does he have?Solve Coin Word Problems In the following exercises, solve the coin word problems. 52. Lee has $1.75 in dimes and nickels. The number of nickels is 11 more than the number of dimes. How many of each coin does he have?Solve Coin Word Problems In the following exercises, solve the coin word problems. Ngo has a collection of dimes and quarters with a total value of $3.50. The number of dimes is 7 more than the number of quarters. How many of each coin does he have?Solve Coin Word Problems In the following exercises, solve the coin word problems. Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of quarters. How many of each coin does he have?Solve Coin Word Problems In the following exercises, solve the coin word problems. 55. Carolyn has $2.55 in her purse in nickels and dimes. The number of nickels is 9 less than three times the number of dimes. Find the number of each type of coin.Solve Coin Word Problems In the following exercises, solve the coin word problems. Julio has $2.75 in his pocket in nickels and dimes. The number of dimes is 10 less than twice the number of nickels. Find the number of each type of coin.Solve Coin Word Problems In the following exercises, solve the coin word problems. Chi has $11.30 in dimes and quarters. The number of dimes is 3 more than three times the number of quarters. How many dimes and nickels does Chi have?Solve Coin Word Problems In the following exercises, solve the coin word problems. Tyler has $9.70 in dimes and quarters. The number of quarters is 8 more than four times the number of dimes. How many of each coin does he have?Solve Coin Word Problems In the following exercises, solve the coin word problems. 59. A cash box of $1 and $ 5 bills is worth $45. The number of $1 bills is 3 more than the number of $5 bills. How many of each bill does it contain?Solve Coin Word Problems In the following exercises, solve the coin word problems. Joe’s wallet contains $1 and $5 bills worth $47. The number of $1 bills is 5 more than the number of $5 bills. How many of each bill does he have?Solve Coin Word Problems In the following exercises, solve the coin word problems. 61. In a cash drawer there is $125 in $5 and $10 bills. The number of $10 bills is twice the number of $5 bills. How many of each are in the drawer?Solve Coin Word Problems In the following exercises, solve the coin word problems. John has $175 in $5 and $10 bills in his drawer. The number of $5 bills is three times the number of $10 bills. How many of each are in the drawer?Solve Coin Word Problems In the following exercises, solve the coin word problems. Mukul has S3.75 in quarters, dimes and nickels in his pocket. He has five more dimes than quarters and nine more nickels than quarters. How many of each coin are in his pocket?Solve Coin Word Problems In the following exercises, solve the coin word problems. Vina has $4.70 in quarters, dimes and nickels in her purse. She has eight more dimes than quarters and six more nickels than quarters. How many of each coin are in her purse?Solve Ticket and Stamp Word Problems In the following exercises, solve the ticket and stamp word problems. 65. The play took in $550 one night. The number of $8 adult tickets was 10 less than twice the number of $5 child tickets. How many of each ticket were sold?Solve Coin Word Problems In the following exercises, solve the coin word problems. If the number of $8 child tickets is seventeen less than three times the number of $12 adult tickets and the theater took in $584, how many of each ticket were sold?Solve Coin Word Problems In the following exercises, solve the coin word problems. The movie theater took in $1,220 one Monday night. The number of $7 child tickets was ten more than twice the number of $9 adult tickets. How many of each were sold?Solve Coin Word Problems In the following exercises, solve the coin word problems. The ball game took in $1,340 one Saturday. The number of $12 adult tickets was 15 more than twice the number of $5 child tickets. How many of each were sold?Solve Coin Word Problems In the following exercises, solve the coin word problems. Julie went to the post office and bought both $0.49 stamps and $0.34 postcards for her office’s bills She spent $62.60. The number of stamps was 20 more than twice the number of postcards. How many of each did she buy?Solve Coin Word Problems In the following exercises, solve the coin word problems. 70. Before he left for college out of state, Jason went to the post office and bought both $0.49 stamps and $0.34 postcards and spent $12.52. The number of stamps was 4 more than twice the number of postcards. How many of each did he buy?Solve Coin Word Problems In the following exercises, solve the coin word problems. Maria spent $16.80 at the post office. She bought three times as many $0.49 stamps as $0.21 stamps. How many of each did she buy?Solve Coin Word Problems In the following exercises, solve the coin word problems. Hector spent $43.40 at the post office. He bought four times as many $0.49 stamps as $0.21 stamps. How many of each did he buy?Solve Coin Word Problems In the following exercises, solve the coin word problems. Hilda has $210 worth of $10 and $12 stock shares. The numbers of $10 shares is 5 more than twice the number of $12 shares. How many of each does she have?