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All Textbook Solutions for High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9

Use mental math to find each product. 1492 Use mental math to find each product. 6397 Use mental math to find each product. 4.25 Use mental math to find each product. 410.1 Use mental math to find each product. 8.254 Use mental math to find each product. 114.1 You buy 75 candy bars at a cost of $0.49 each. What is the total cost of 75 candy bars? Use mental math.The distance around a track is 400m. If you take 14 laps around the track, what is the total distance you walk? Use mental math.There are 32 classmates that are going to the fair. Each ticket costs $19. What is the total amount the classmates spend for tickets? Use mental math.Simplify each expression by combining like terms. 17y15y Simplify each expression by combining like terms. 17y15y Simplify each expression by combining like terms. 11b2+4b2 Simplify each expression by combining like terms. 2y5y Simplify each expression by combining like terms. 14n27n2 Simplify each expression by combining like terms. 8x210x2 Simplify each expression by combining like terms. 2f+7g6+8g Simplify each expression by combining like terms. 8x+35x9 Simplify each expression by combining like terms. 5k6k212k+10 Write a word phrase for each expression. Then simplify each expression. 2(n+1)Write a word phrase for each expression. Then simplify each expression. 12(4m8)Write a word phrase for each expression. Then simplify each expression. 12(4m8)The tax a plumber must charge for a service call is given by the expression 0.06(35+25h) where h is the number of hours the job takes. Rewrite this expression using the Distributive Property. What is the tax for a 5 hour job and a 20 hour job? Use mental math.Geometry Write an expression in simplified form for the area of each rectangle.Geometry Write an expression in simplified form for the area of each rectangle.Geometry Write an expression in simplified form for the area of each rectangle.Simplify each expression. 4jk7jk+12jk Simplify each expression. 17mn+4mnmn+10mn Simplify each expression. 8xy47xy311xy4 Simplify each expression. 2(5ab6)Simplify each expression. z+2z54z5 Simplify each expression. 7m2n+4m2n24m2n5m3n25mn2 Reasoning Demonstrate why 12x662x6. Show your work.Simplify each expression. 4(2h+1)+3(4h+7)Simplify each expression. 5(n8)+6(72n)Simplify each expression. 7(3+x)4(x+1)Simplify each expression. 6(y+5)3(4y+2)Simplify each expression. (a3b+27)Simplify each expression. 2(54s+6t)5s+t For Exercises 16, choose the correct letter. What is the simplified form of the expression 6(4x7)? A. 10x1 B. 24x7 C. 24x42 D. 24x+42 For Exercises 16, choose the correct letter. What is the simplified form of the expression 2(5x8)? F. 7x10 G. 10x8 H. 10x16 I. 10x+16 For Exercises 16, choose the correct letter. What is the simplified form of the expression 14mn+6mn28mn7m2n+5m2n? A. 10m2n2 B. 6mn4m2n C. 6mn+5m2n1mn2 D. 6mn2m2n+6mn2 For Exercises 16, choose the correct letter. Concert tickets cost $14.95 each. Which expression represents the total cost of 25 tickets? F. 25(150.05) G. 25(15+0.05) H. 15(2510.05) I. 25(15)0.05 For Exercises 16, choose the correct letter. Which expression represents 7 times the sum of a number and 8? A. 7n+8 B. 7(n+8) C. 8(n+7) D. n+56 For Exercises 16, choose the correct letter. There are 297 students in a senior class. The cost of the senior trip is $150 per student. Which expression represents the total cost of the senior trip? F. 150(300) G. 300(1503) H. 150(3003) 150(300)3 The profit Samanthas company makes is given by the expression 0.1(1000+300m) where m is total number of sales. Rewrite this expression using the Distributive Property. What is the profit if her company sells 50 pieces of merchandise? Use mental math.Tell whether each equation is true, false, or open. Explain 45x14=22 Tell whether each equation is true, false, or open. Explain 4210=52 Tell whether each equation is true, false, or open. Explain 3(6)+5=263 Tell whether each equation is true, false, or open. Explain. (12+8)(10)=126 Tell whether each equation is true, false, or open. Explain 14n7=7 Tell whether each equation is true, false, or open. Explain 7k8k=15 Tell whether each equation is true, false, or open. Explain 10+(15)5=5 Tell whether each equation is true, false, or open. Explain: 32(4)+6=728+7 Tell whether the given number is a solution of each equation. 3b8=13;7 Tell whether the given number is a solution of each equation. 4x+7=15;2 Tell whether the given number is a solution of each equation. 12=142f;1 Tell whether the given number is a solution of each equation. 6=1411n;2 Tell whether the given number is a solution of each equation. 7c(5)=26;3 Tell whether the given number is a solution of each equation. 2510z=15;1 Tell whether the given number is a solution of each equation. 8a12=4;1 Tell whether the given number is a solution of each equation. 20=12t+25;10 Tell whether the given number is a solution of each equation. 23m+2=73,12 Write an equation for each sentence. The difference of a number and 7 is 8.Write an equation for each sentence. 6 times the sum of a number and 5 is 16.Write an equation for each sentence. A computer programmer works 40 hours per week. What is an equation that relates the number of weeks w that the programmer works and the number of hours h that the programmer spends working?Write an equation for each sentence. Josie is 11 years older than Macy. What is an equation that relates the age of Josie J and the age of Macy M?Use mental math to find the solution of each equation. t7=10 Use mental math to find the solution of each equation. 12=5h Use mental math to find the solution of each equation. 22+p=30 Use mental math to find the solution of each equation. 6g=12 Use mental math to find the solution of each equation. x4=3 Use mental math to find the solution of each equation. v8=6 Use mental math to find the solution of each equation. 4x=36 Use mental math to find the solution of each equation. 12b=60 Use a table to find the solution of each equation. 4m5=11 Use a table to find the solution of each equation. 3d+10=43 Use a table to find the solution of each equation. 2=3a+8 Use a table to find the solution of each equation. 5h13=12 Use a table to find the solution of each equation. 8=3y2 Use a table to find the solution of each equation. 8n+16=24 Use a table to find the solution of each equation. 35=7z7 Use a table to find the solution of each equation. 14p+6=8 Use a table to find two consecutive integers between which the solution lies. 7t20=33 Use a table to find two consecutive integers between which the solution lies. 7.5=3.22.1n Use a table to find two consecutive integers between which the solution lies. 37d+48=368 The population of a particular village can be modeled by the equation y=110x+56 where x is the number of years since 1990. In what year were there 1706 people living in the village?Open-Ended Write four equations that all have a solution of 10. The equations should consist of one multiplication, one division, one addition, and one subtraction equation.There are 68 members of the marching band. The vans the band uses to travel to games each carry 15 passengers. How many vans does the band need to reserve for each away game?Find the solution of each equation using mental math or a table. If the solution lies between two consecutive integers, identify those integers. d+8=10 Find the solution of each equation using mental math or a table. If the solution lies between two consecutive integers, identify those integers. 3p14=9 Find the solution of each equation using mental math or a table. If the solution lies between two consecutive integers, identify those integers. 8.3=4k2.5 Find the solution of each equation using mental math or a table. If the solution lies between two consecutive integers, identify those integers. c8=12 Find the solution of each equation using mental math or a table. If the solution lies between two consecutive integers, identify those integers. 6y13=13 Find the solution of each equation using mental math or a table. If the solution lies between two consecutive integers, identify those integers. 15=8+(a)Find the solution of each equation using mental math or a table. If the solution lies between two consecutive integers, identify those integers. 3=13h10 Find the solution of each equation using mental math or a table. If the solution lies between two consecutive integers, identify those integers. 21=7x+8 Writing Explain the difference between an expression and an equation.For Exercises 15, choose the correct letter. Which equation is true? A. 25(18)=7 B. 13(9)6=9 C. 25(2)+7=39+4 D. 19+8(2)=7(5)For Exercises 15, choose the correct letter. Which equation has a solution of 6? F. 15x20=70 G. 14=6x22 H. 3x8=10 I. 12x8=11 For Exercises 15, choose the correct letter. Which equation has a solution of 12? A. 13x12=14 B. 9x+15=20 C. 6x18=21 D. 11x=12x+12 For Exercises 15, choose the correct letter. The money a company received from sales of their product is represented by the equation y=45x120, where y is the money in dollars and x is the number of products sold. How many products does the company need to sell in order to receive $3705? F. 42 G. 85 H. 105 I. 166,605 For Exercises 15, choose the correct letter. Mrs. Decker walks for 30 minutes each day as often as possible. What is an equation that relates the number of days d that Mrs. Decker walks and the number of minutes m that she spends walking? A. m=30d B. d=30m C. d=m+30 D. m=d+30 There are 450 people travelling to watch a playoff football game. Each bus can seat up to 55 people. Write an equation that represents the number of buses it will take to transport the fans. Use a table to find a solution.Tell whether the given equation has the ordered pair as a solution. y=x4;(5,1)Tell whether the given equation has the ordered pair as a solution. y=x+8;(8,0)Tell whether the given equation has the ordered pair as a solution. y=x2;(2,4)Tell whether the given equation has the ordered pair as a solution. y=3x;(2,6)Tell whether the given equation has the ordered pair as a solution. y=x+1;(1,0)Tell whether the given equation has the ordered pair as a solution. y=x;(7,7)Tell whether the given equation has the ordered pair as a solution. y=x+12;1,12 Tell whether the given equation has the ordered pair as a solution. y=x25;2,225 Tell whether the given equation has the ordered pair as a solution. x3=y;(2,6)Use a table, an equation, and a graph to represent each relationship. Petra earns $22 per hour.Use a table, an equation, and a graph to represent each relationship. The calling plan costs $0.10 per minute.Use the table to draw a graph and answer the question. The table shows the height in feet of a stack of medium sized moving boxes. What is the height of a stack of 14 boxes?Use the table to draw a graph and answer the question. The table shows the number of pages Dustin read in terms of hours. How many pages will Dustin read in 12 hours?Use the table to write an equation and answer the question. The table shows the amount earned for washing cars. How much is earned for washing 25 cars?Use the table to write an equation and answer the question. The table shows the distance in terms of hours Jerry and Michelle have traveled on the way to visit their family. They take turns driving for 12 hours. What distance will they travel in that time?A worker finds that it takes 9 tiles to cover one square foot of floor. Make a table and draw a graph to show the relationship between the number of tiles and the number of square feet of floor covered. How many square feet of floor will be covered by 261 tiles?Tell whether the given equation has the ordered pair as a solution. y=3x2;(1,5)Tell whether the given equation has the ordered pair as a solution. y=5x+7;(1,2)Tell whether the given equation has the ordered pair as a solution. y=4x3;(1,1)Tell whether the given equation has the ordered pair as a solution. y=13+6x;(1,7)Tell whether the given equation has the ordered pair as a solution. 23x5=y;(9,11)Tell whether the given equation has the ordered pair as a solution. y=10x2;5,152 Writing Explain what inductive reasoning is. Include in your explanation what inductive reasoning can be used for.For Exercises 15, choose the correct letter. If x=3 and y=5, what does 3x2y equal? A. -19 B. -1 C. 1 D. 19 For Exercises 15, choose the correct letter. Which ordered pair is a solution of y=6x1? F. (3,17) G. (-1,7) H. (1,7) I. (3,17)For Exercises 15, choose the correct letter. Which ordered pair is a solution of x=y? A. (-1,-1) B. (1,-1) C. (1,1) D. (-1,-2)For Exercises 15, choose the correct letter. Which equation represents the table shown? F. y=8.5x G. y=8.5x+12.50 H. y=15x I. y=15x+12.50 For Exercises 15, choose the correct letter. Sally is 3 years younger than Ralph. Which equation represents this relationship? A. R=3S B. R=S3 C. S=R+3 D. S=R3 Justin earns $19.50 per hour working as a store manager. a. Use a table to represent this relationship.Solve each equation using addition or subtraction. Check your answer. 8=a2 Solve each equation using addition or subtraction. Check your answer. x+7=11 Solve each equation using addition or subtraction. Check your answer. r2=6 Solve each equation using multiplication or division. Check your answer. 18=m+12 Solve each equation using multiplication or division. Check your answer. f+10=10 Solve each equation using multiplication or division. Check your answer. 1=n+5 Solve each equation using multiplication or division. Check your answer. 3p=48 Solve each equation using multiplication or division. Check your answer. 98=7t Solve each equation using multiplication or division. Check your answer. 4.4=4y Solve each equation using multiplication or division. Check your answer. 2.8c=4.2 Solve each equation using multiplication or division. Check your answer. k6=8 Solve each equation using multiplication or division. Check your answer. 16=w8 Solve each equation using multiplication or division. Check your answer. 9=y3 Solve each equation using multiplication or division. Check your answer. h10=225 Solve each equation. Check your answer. 35n=12 Solve each equation. Check your answer. 4=23b Solve each equation. Check your answer. 58x=15 Solve each equation. Check your answer. 14z=25 Jeremy mowed several lawns to earn money for camp. After he paid $17 for gas, he had $75 leftover to pay towards camp. Write and solve an equation to find how much money Jeremy earned mowing lawns.Define a variable and write an equation for each situation. Then solve. Susans cell phone plan allows her to use 950 minutes per month with no additional charge. She has 188 minutes left for this month. How many minutes has she already used this month?Define a variable and write an equation for each situation. Then solve. In the fifth year of operation, the profit of a company was 3 times the profit it earned in the first year of operation. If its profit was $114,000 in the fifth year of operation, what was the profit in the first year?Solve each equation. Check your answer. 9x=48 b Solve each equation. Check your answer. 78=23+n Solve each equation. Check your answer. a+114=2710 Solve each equation. Check your answer. 7t=5.6 Solve each equation. Check your answer. 2.3=7.9+y Solve each equation. Check your answer. 53p=83 Solve each equation. Check your answer. g8=34 Solve each equation. Check your answer. m8=813 A community center is serving a free meal to senior citizens. The center plans to feed 700 people in 4 hours. a. Write and solve an equation to find the average number of people the center is planning to feed each hour. b. During the first hour and a half, the center fed 270 people. Write and solve an equation to find the number of people that remain to be fed.For Exercises 16, choose the correct letter What is the solution of 3=x+5? A. -15 B. -8 C. 2 D. 8 For Exercises 16, choose the correct letter What operation should you use to solve 6x=24? F. addition G. subtraction H. multiplication I. division For Exercises 16, choose the correct letter Which of the following solutions is true for x3=14? A. 234 B. 112 C. 34 D. 314 For Exercises 16, choose the correct letter There are 37 more cats c than dogs d in an animal shelter. If there are 78 cats at the shelter, which equation represents the relationship between the number of cats and dogs? F. d+37=78 G. d37=78 H. c+37=78 c37=78 For Exercises 16, choose the correct letter Which property of equality should you use to solve 6x=48? A. Addition Property of Equality B. Subtraction Property of Equality. C. Multiplication Property of Equality D. Division Property of Equality For Exercises 16, choose the correct letter. Shelly completed 10 problems of her homework in study hall. This is 27 of the total assignment. How many problems does she have left to complete? F. 20 G. 25 H. 30 I. 35 A high school marching band has 55 male members. It is determined that fiveeighths of the band members are male. a. What equation represents the total number of members in the band? b. How many members are in the band?Solve each equation. Check your answer. 6+3b=18 Solve each equation. Check your answer. 3+5x=12 Solve each equation. Check your answer. 7n+12=23 Solve each equation. Check your answer. t63=8 Solve each equation. Check your answer. 12=8+f2 Solve each equation. Check your answer. 13=85d Solve each equation. Check your answer. k4+6=2 Solve each equation. Check your answer. 22=8+7y Solve each equation. Check your answer. 163p=34 Solve each equation. Check your answer. 15+q6=21 Solve each equation. Check your answer. 19+c3=8 Solve each equation. Check your answer. 18 li r=26 Solve each equation. Check your answer. 9=y36 Solve each equation. Check your answer. 14+m10=24 Define a variable and write an equation for each situation. Then solve. Chip earns a base salary of $500 per month as a salesman. In addition to the salary, he earns $90 per product that he sells. If his goal is to earn $5000 per month, how many products does he need to sell?Define a variable and write an equation for each situation. Then solve. A pizza shop charges $9 for a large cheese pizza. Additional toppings cost $1.25 per topping. Heather paid $15.25 for her large pizza. How many toppings did she order?Solve each equation. Check your answer. z+63=8 Solve each equation. Check your answer. n72=11 Solve each equation. Check your answer. j+184=8 Solve each equation. Check your answer. 13a6=15 Solve each equation. Check your answer. 14=14h+4 Solve each equation. Check your answer. 6.4210d=2.5 The selling price of a television in a retail store is $66 less than 3 times the wholesale price. If the selling price of a television is $899, write and solve an equation to find the wholesale price of the television.The fare for a taxicab is $5 per trip plus $0.50 per mile. The fare for the trip from the airport to the convention center was $11.50. Write and solve an equation to find how many miles the trip is from the airport to the convention center.An online movie club offers a membership for $5 per month. Members can rent movies for $1.50 per rental. A member was billed $15.50 one month. Write and solve an equation to find how many movies the member rented.Writing Describe, using words, how to solve the equation 64x=18. List any properties utilized in the solution.a. Solve 8=x+24 b. Write the right side of the equation in part (a) as the sum of two fractions. Solve the equation. c. Did you find the equation in part (a) or the rewritten equation easier to solve? Why?Solve each exercise and enter your answer on the grid provided. What is the solution of 28=225x?Solve each exercise and enter your answer on the grid provided. What is the solution of m43=7?Solve each exercise and enter your answer on the grid provided. The amount of money that Pamela p has and Julie j has are related by the equation 3p+5=j. If Julie has $83, how much money does Pamela have?Solve each exercise and enter your answer on the grid provided. An ice cream sundae costs $1.75 plus an additional $0.35 for each topping. If the total cost is $2.80, how many toppings did the sundae have?Solve each exercise and enter your answer on the grid provided: The cost of a gallon of gasoline g is $3.25 less than 2 times the cost of a gallon of diesel d. If a gallon of gasoline costs $3.95, what is the cost of a gallon of diesel?Solve each equation. Check your answer. 19hh=13 Solve each equation. Check your answer. 14+6a8=18 Solve each equation. Check your answer. 25=7+3k12 Solve each equation. Check your answer. 5n168n=10 Solve each equation. Check your answer. 34=v+425v Solve each equation. Check your answer. x1+5x=23 Solve each equation. Check your answer. 42j+1819j=28 Solve each equation. Check your answer. 49=6c134c Solve each equation. Check your answer. 28+1522z=31 Write an equation to model each situation. Then solve the equation. General admission tickets to the fair cost $3.50 per person. Ride passes cost an additional $5.50 per person. Parking costs $6 for the family. The total costs for ride passes and parking was $51. How many people in the family attended the fair?Solve each equation. Check your answer. Five times a number decreased by 18 minus 4 times the same number is -36. What is the number?Solve each equation. Check your answer. 6(3m+5)=66 Solve each equation. Check your answer. 3(4y8)=12 Solve each equation. Check your answer. 5(x3)=25 Solve each equation. Check your answer. 42=3(23h)Solve each equation. Check your answer. 10=5(2w4)Solve each equation. Check your answer. 3p4=31 Solve each equation. Check your answer. 3=3(2t1)Solve each equation. Check your answer. x2(x+10)=12 Solve each equation. Check your answer. 15=5(3q10)5q Angela ate at the same restaurant four times. Each time she ordered a salad and left a $5 tip. She spent a total of $54. Write and solve an equation to find the cost of each salad.Solve each equation. Choose the method you prefer to use. Check your answer. a7+57=27 Solve each equation. Choose the method you prefer to use. Check your answer. 6v58=78 Solve each equation. Choose the method you prefer to use. Check your answer. j69=56 Solve each equation. Choose the method you prefer to use. Check your answer. x312=34 Solve each equation. Choose the method you prefer to use. Check your answer. 85+56=6 Solve each equation. Choose the method you prefer to use. Check your answer. b912=518 Solve each equation. Choose the method you prefer to use. Check your answer. 0.52y+2.5=5.1 Solve each equation. Choose the method you prefer to use. Check your answer. 4n+0.24=15.76 Solve each equation. Choose the method you prefer to use. Check your answer. 2.453.1t=21.05 Solve each equation. Choose the method you prefer to use. Check your answer. 4.2=9.1x+23.1 Solve each equation. Choose the method you prefer to use. Check your answer. 11.37.2f=3.82 Solve each equation. Choose the method you prefer to use. Check your answer. 14.2=6.8+4.2d Reasoning Suppose you want to solve 5=6x+3+7x. What would you do as your first step? Explain.Writing Describe two different ways to solve 10=14(8y12).Solve each equation. Round to the nearest hundredth if necessary. 5+2a3=511 Solve each equation. Round to the nearest hundredth if necessary. 35(p3)=4 Solve each equation. Round to the nearest hundredth if necessary. 11m(6m5)=25 The sum of three integers is 228. The second integer is 1 more than the first, and the third integer is 2 more than the first. Write an equation to determine the integers. Solve your equation. Show your work.Can you solve the equation 23(4x5)=8 by using the Division Property of Equality? Explain.For Exercises 15, choose the correct letter. What is the solution of 17=2n+138n? A. -3 B. 23 C. 3 D. 5 For Exercises 15, choose the correct letter. What is the solution of 4(3m2)=32? F. -2 G. 2 H. 4 I. 6 For Exercises 15, choose the correct letter. What is the solution of x3+35=115? A. -2 B. 85 C. 2 D. 163 For Exercises 15, choose the correct letter. When the sum of a number and 7 is multiplied by 4, the result is 16. What is the original number? F. -12 G. -3 H. 3 I. 11 For Exercises 15, choose the correct letter. A merchant is selling wind chimes from a booth at a flea market. He rents his space for $125 per day. The profit from each wind chime sold is $12. His goal is to make $3500 in a five day work week. Which equation represents how many chimes he needs to sell in a week to meet his goal? A. 12c625=3500 B. 5(12c)125=3500 C. 5(12c+125)=3500 D. 5(12c125)=3500 Four friends are planning to play 18 holes of golf. Two of them need to rent clubs at $5 per set. Total cart rental is $10. The total cost of the golf outing, including green fees, is $92. a. Write an equation to represent the total cost of the golf outing. b. How much did the friends pay in green fees?Solve each equation. Check your answer. 3n+2=2n8 Solve each equation. Check your answer. 8b7=7b2 Solve each equation. Check your answer. 12+5k=154k Solve each equation. Check your answer. q11=2q+4 Solve each equation. Check your answer. 4t+9=8t13 Solve each equation. Check your answer. 22p+11=4p7 Solve each equation. Check your answer. 179y=3+16y Solve each equation. Check your answer. 15m+22=7m+18 Solve each equation. Check your answer. 3x+7=14+3x Write and solve an equation for each situation. Check your solution. Shirley is going to have the exterior of her home painted. Tims Painting charges $250 plus $14 per hour. Colorful Paints charges $22 per hour. How many hours would the job need to take for Tims Painting to be the better deal?Write and solve an equation for each situation. Check your solution. Tracey is looking at two different travel agencies to plan her vacation. ABC Travel offers a plane ticket for $295 and a rental car for $39 per day. M ** N Travel offers a plane ticket for $350 and a rental car for $33 per day. What is the minimum number of days that Shirley’s vacation should be for M \ N Travel to have the better deal?Solve each equation. Check your answer. 7(h+3)=6(h3)Solve each equation. Check your answer: (5a+6)=2(3a+8)Solve each equation. Check your answer. 2(2f4)=4(f+2)Solve each equation. Check your answer. 3w6+2w=2+w Solve each equation. Check your answer: 8x(3x+6)=4x Solve each equation. Check your answer. 14+3n=8n3(n4)Determine whether each equation is an identity or whether it has no solution. 4(3m+4)=2(6m+8)Determine whether each equation is an identity or whether it has no solution. 5x+2x3=3x+10x Determine whether each equation is an identity or whether it has no solution. (3z+4)=6z3(3z+2)Determine whether each equation is an identity or whether it has no solution. 2(j3)=2j+6 Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. 6.84.2b=5.6b3 Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. 13+23m=23m23 Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. 2(5.25+6.2x)=4(3.1x+2.68)Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. 12r+6=32r Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. 0.5t+0.25(t+16)=4+0.75t Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. 2.5(2z+5)=5(z+2.5)Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. 28.6(p+8)=6p+12 Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. 38f+12=6116f3 Three times the sum of a number and 4 is 8 less than one-half the number. Write and solve an equation to find the number.A square and a rectangle have the same perimeters. The length of a side of the square is 4x1. The length of the rectangle is 2x+1 and the width is x+2 Write and solve an equation to find x.A movie club charges a one-time membership fee of $25 which allows members to purchase movies for $7 each. Another club does not charge a membership fee and sells movies for $12 each. How many movies must a member purchase for the cost of the two clubs to be equal?Writing Describe the difference between an equation that is defined as an identity and an equation that has no solution. Provide an example of each and explain why each example is an identity or has no solution.For Exercises 15, choose the correct letter. What is the solution of 8x5+3x=7+4x9? A. -3 B. 13 C. 13 D. 3 For Exercises 15, choose the correct letter. What is the solution of (56x)=4(5x+3)? F. -2 G. 12 H. 12 I. 2 For Exercises 15, choose the correct letter. What is the solution of 2n3(4n+5)=6(n3)1? A. -8 B. -6 C. 12 D. 4 For Exercises 15, choose the correct letter. Negative one times the sum of twice a number and 3 is equal to two times the difference of -4 times the number and 3. What is the number? F. -4 G. -2 H. 12 I. 2 For Exercises 15, choose the correct letter. Jacob is saving for a new bicycle which costs $175. He has already saved $35. His goal is to have enough money saved in six weeks to pay for the bicycle. Which equation represents how much money he needs to save each week to meet his goal? A. 35+6d=175 B. 35+12d=175 C. 6(35+2d)=175 D. 2(35+6d)=175 Admission for a water park is $17.50 per day. A season pass costs $125. A locker rental costs $3.50 per day. a. What is an equation that represents the relationship between the cost of a daily pass and the cost of a season pass? b. How many days would you have to go to the water park for the season pass to save you money?Solve each equation for m. Then find the value of $m$ for each value of n. m+3n=7;n=2,0,1 Solve each equation for m. Then find the value of m for each value of n. 3m9n=24;n=1,1,3 Solve each equation for m. Then find the value of m for each value of n. 5n=4m+8;n=1,0,1 Solve each equation for m. Then find the value of m for each value of n. 2m=6n5;n=1,2,3 Solve each equation for m. Then find the value of m for each value of n. 8n=3m+1;n=2,2,4 Solve each equation for m. Then find the value of m for each value of n. 4n6m=2;n=2,0,2 Solve each equation for m. Then find the value of m for each value of n. 5n=133m;n=3,0,3 Solve each equation for m. Then find the value of m for each value of n. 10m+6n=12;n=2,1,0 Solve each equation for x. fxgx=h Solve each equation for x. qx+x=r Solve each equation for x. m=x+np Solve each equation for x. d=f+fx Solve each equation for x. 3(x+n)=x Solve each equation for x. x4y+2=5

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