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

Solve each inequality, if possible. If the inequality has no solution, write no solution. If the solutions are all real numbers, write all real numbers. 6w+52(3w+3)Solve each inequality, if possible. If the inequality has no solution, write no solution. If the solutions are all real numbers, write all real numbers. 5r+155(r2)Solve each inequality, if possible. If the inequality has no solution, write no solution. If the solutions are all real numbers, write all real numbers. 2(6+s)16+2s Solve each inequality, if possible. If the inequality has no solution, write no solution. If the solutions are all real numbers, write all real numbers. 92x7+2(x3)Solve each inequality, if possible. If the inequality has no solution, write no solution. If the solutions are all real numbers, write all real numbers. 2(n3)13+2n Solve each inequality, if possible. If the inequality has no solution, write no solution. If the solutions are all real numbers, write all real numbers. 3(w+3)93w A grandmother says her grandson is two years older than her granddaughter and that together, they are at least 12 years old. How old are her grandson and granddaughter?A family decides to rent a boat for the day while on vacation. The boats rental rate is $ 500 for the first two hours and $ 50 for each additional half hour. Suppose the family can spend $ 700 for the boat. What inequality represents the number of hours for which they can rent the boat?Writing Suppose a friend is having difficulty solving 1.75(q5)3(q+2.5) Explain how to solve the inequality, showing all the necessary steps and identifying the properties you would use.Open-Ended Write two different inequalities that you can solve by adding 2 to each side and then dividing each side by 12. Solve each inequality.Reasoning a. Solve 3v52v+10 by gathering the variable terms on the left side and the constant terms on the right side of the inequality. b. Solve 3v52v+10 by gathering the constant terms on the left side and the variable terms on the right side of the inequality. c. Compare the results of parts (a) and (b). d. Which method do you prefer? Explain.For Exercises 16, choose the correct letter. What is the solution of 6w822? A. w73 B. w73 C. w5 D. w5 For Exercises 16, choose the correct letter. What is the solution of 2(y+5)+7y19? F. y1 G. y1 H. y1 I. y1 For Exercises 16, choose the correct letter. What is the solution of 253(4n3)? A. n43 B. n43 c. n43 D. n43 For Exercises 16, choose the correct letter. Which graph represents all of the solutions of 12k(3k+4)?For Exercises 16, choose the correct letter. You have already saved $ 55. You earn $ 9 per hour at your job. You are saving for a bicycle that costs $ 199. What inequality represents the possible numbers of hours you need to work to buy the bicycle? A. h16 B. h16 c. h16 D. h16 For Exercises 16, choose the correct letter. Admission to the fair costs $ 7.75. Each ride costs you $ .50. You have $ 15 to spend at the fair including admission. Which inequality represents the possible numbers of rides you can ride? F. r14 G. r 14 H. r14 I. r15 The perimeter of a rectangle is at least 32cm. The length of the rectangle is 9cm. What are the possible widths of the rectangle? Show your work.Write each set in roster form and in set-builder notation. M is the set of integers that are greater than 5.Write each set in roster form and in set-builder notation. N is the set of even numbers that are less than 2.5.Write each set in roster form and in set-builder notation. P is the set of natural numbers that are factors of 25.Write each set in roster form and in set-builder notation. R is the set of odd natural numbers that are less than 12.Write each set in set-builder notation. B=3,2,1,0,1,Write each set in set-builder notation. M=2,4,6,8,10 Write each set in set-builder notation. 7.S=1,2,3,6,9,18 Write each set in set-builder notation. 8.G=,5,3,1,1,3,5,Write the solutions of each inequality in set-builder notation. 2y+521 Write the solutions of each inequality in set-builder notation. 3r+363 Write the solutions of each inequality in set-builder notation. 128m60 Write the solutions of each inequality in set-builder notation. (3x+5)13 Write the solutions of each inequality in set-builder notation. 2(x7)106x Write the solutions of each inequality in set-builder notation. 2(x+7)14+2x Write the solutions of each inequality in set-builder notation. 3(2x4)+113 Write the solutions of each inequality in set-builder notation. 3(2x4)125+6x Write the solutions of each inequality in set-builder notation. (x1)+5103x List all the subsets of each set. a,b,c,d List all the subsets of each set. 0,3,6,9 List all the subsets of each set. { car, bus, truck }List all the subsets of each set. 5,5 List all the subsets of each set. 0 List all the subsets of each set. {red, blue, yellow }Suppose U=0,2,4,6,8,10 is the universal set and A=2,4,6. What is A?Suppose U=,5,3,1,1,3,5, is the universal set and R=1,3,5,. What is R?Suppose U=xxisamultipleof3,x18 is the universal set and C=21,24,27,30. What is C?Suppose U=xxisarealnumber,x3 is the universal set and T=xxisarealnumber,x10. What is T?Suppose U=1,2,4,7,11,15,A=2,4,7, and B=1,2,4. Tell whether each statement is true or false. Explain your reasoning. AU Suppose U=1,2,4,7,11,15,A=2,4,7, and B=1,2,4. Tell whether each statement is true or false. Explain your reasoning. UB Suppose U=1,2,4,7,11,15,A=2,4,7, and B=1,2,4. Tell whether each statement is true or false. Explain your reasoning. BA Suppose U=1,2,4,7,11,15,A=2,4,7, and B=1,2,4. Tell whether each statement is true or false. Explain your reasoning. B Let the universal set U and set B be as defined below. What are the elements of the complement of B ? Write your answer in roster form and in set-builder notation. U=allthemonthsinacalendaryear B=allmonthsthathave31days For Exercises 16, choose the correct letter. What is the solution of (3n7)4 written in set-builder notation? A. n1 B. 1 c. nn1 D. nn1 For Exercises 16, choose the correct letter. What set represents the solution of 159j3? F. j2 G. 2 H. jj2 I. jj2 For Exercises 16, choose the correct letter. Which of the following sets is not a subset of 1,1,3? A. B. 0 c. 1,3 D. 1,1,3 For Exercises 16, choose the correct letter. Given the universal set U=dog,cat,fish,gerbil,snake and set L is the set of pets in U that have legs, what is the complement of set L? F. { dog, cat, fish, gerbil, snake} G. {fish, snake} H. dog,cat,gerbil I.For Exercises 16, choose the correct letter. Suppose the universal set U is the set of all real numbers and M is the set of all real numbers greater than or equal to 8. Which number is not in M? A. -8 B. 0 C. 5 D. 8 For Exercises 16, choose the correct letter. Suppose U=2,0,2,4 is the universal set and A=2,2. What is A? F. G. 2,2 H. 0,4 I. 2,0,2,4 For Exercises 16, choose the correct letter. The width of a soccer field must be between 55 yd and 80 yd. a. What compound inequality represents the width of a soccer field? b. List the possible values for the fields width if the width is a multiple of 5.Write a compound inequality that represents each phrase. Graph the solutions. all real numbers that are less than -3 or greater than or equal to 5 Write a compound inequality that represents each phrase. Graph the solutions. The time a cake must bake is between 25 minutes and 30 minutes, inclusive.Solve each compound inequality. Graph your solutions. 5k211 Solve each compound inequality. Graph your solutions. 4y+210 Solve each compound inequality. Graph your solutions. 6b141 or 2b+111 Solve each compound inequality. Graph your solutions. 5m4 or 7m35 Solve each compound inequality. Graph your solutions. 32p312 Solve each compound inequality. Graph your solutions. 311+k43 Solve each compound inequality. Graph your solutions. 3d+31 or 5d+212 Solve each compound inequality. Graph your solutions. 9c2 or 3c15 Solve each compound inequality. Graph your solutions. 4y+23(y2)+24 Solve each compound inequality. Graph your solutions. 5z+37 or 2z68 Write each interval as an inequality. Then graph the solutions. (-1,10]Write each interval as an inequality. Then graph the solutions. [-3,3]Write each interval as an inequality. Then graph the solutions. (,0] or (5,)Write each interval as an inequality. Then graph the solutions. [3,)Write each interval as an inequality. Then graph the solutions. (,4)Write each interval as an inequality. Then graph the solutions. [25,50)Write each inequality or set in interval notation. Then graph the interval. x2 Write each inequality or set in interval notation. Then graph the interval. x0 Write each inequality or set in interval notation. Then graph the interval. x2 or x1 Write each inequality or set in interval notation. Then graph the interval. 3x4 Write a compound inequality that each graph could represent.Write a compound inequality that each graph could represent.Write a compound inequality that each graph could represent.Write a compound inequality that each graph could represent.Solve each compound inequality. Justify each step. 27.3r+25 or 7r1060 Solve each compound inequality. Justify each step. 30.25v2.5 Solve each compound inequality. Justify each step. y2253 or 1+2y341 Solve each compound inequality. Justify each step. 3256w342 The absorbency of a certain towel is considered normal if the towel is able to hold between six and eight mL. The first checks for materials result in absorbency measures of 6.2mL and 7.2mL. What possible values for the third reading m will make the average absorbency normal?A family is comparing different car seats. One car seat is designed for a child up to and including 30 lb. Another car seat is designed for a child between 15 lb and 40 lb. A third car seat is designed for a child between 30 lb and 85lb, inclusive. Model these ranges on a number line. Represent each range of weight using interval notation. Which car seats are appropriate for a 321b child?For Exercises 15, choose the correct letter. Which inequality represents the phrase all real numbers that are greater than -7 and less than 4? A. n7 B. n4 C. 7n4 D. n7 or n4 For Exercises 15, choose the correct letter. What are the solutions of 8x+212? F:x6 G. 6x10 H. 10x14 I. x10 For Exercises 15, choose the correct letter. What are the solutions of 3d410 or 2d+79? A. d2 B. d1 C. 2d1 D. 2 or d1 For Exercises 15, choose the correct letter. Which compound inequality represents the graph shown below?For Exercises 15, choose the correct letter. A teacher knows that 80 of her students will score no more than 5 points above or below the class average, 85, on the test. Which inequality represents the test scores of 80 of her students? A. 75A85 B. 85A90 C. 80A90 D. 80A90 a. Solve the compound inequality 43p75. Show your work b. Graph your solution.Solve each equation. Graph and check your solutions. b=23 Solve each equation. Graph and check your solutions. 10=y Solve each equation. Graph and check your solutions. n+2=5 Solve each equation. Graph and check your solutions. 4=s3 Solve each equation. Graph and check your solutions. x5=1 Solve each equation. Graph and check your solutions. 7d=49 Solve each equation. If there is no solution, write no solution. r9=3 Solve each equation. If there is no solution, write no solution. c+3=15 Solve each equation. If there is no solution, write no solution. 1=g+3 Solve each equation. If there is no solution, write no solution. 2=m+23 Solve each equation. If there is no solution, write no solution. 23d=4 Solve each equation. If there is no solution, write no solution. 32w=6 Solve each equation. If there is no solution, write no solution. 4v5=16 Solve each equation. If there is no solution, write no solution. 3d4=12 Solve each equation. If there is no solution, write no solution. 3f+0.51=7 Solve and graph each inequality. x1 Solve and graph each inequality. x2 Solve and graph each inequality. x+310 Solve and graph each inequality. y+412 Solve and graph each inequality. y18 Solve and graph each inequality. p65 Solve and graph each inequality. 3c412 Solve and graph each inequality. 2t+234 Solve each equation or inequality. If there is no solution, write no solution. d+3=33 Solve each equation or inequality. If there is no solution, write no solution. 1.53p=4.5 Solve each equation or inequality. If there is no solution, write no solution. d+23+34=0 Solve each equation or inequality. If there is no solution, write no solution. f15=315 Solve each equation or inequality. If there is no solution, write no solution. 73y4848 Solve each equation or inequality. If there is no solution, write no solution. t1.2=3.8 Solve each equation or inequality. If there is no solution, write no solution. 1c+4=3.6 Solve each equation or inequality. If there is no solution, write no solution. y43 Solve each equation or inequality. If there is no solution, write no solution. 9d6.3 Write an absolute value inequality that represents each set of numbers. all real numbers less than 3 units from 0 Write an absolute value inequality that represents each set of numbers. all real numbers at most 6 units from 0 Write an absolute value inequality that represents each set of numbers. all real numbers more than 4 units from 6 Write an absolute value inequality that represents each set of numbers. all real numbers at least 3 units from -2 A child takes a nap averaging three hours and gets an average of 12 hours of sleep at night. Nap time and night time sleep can each vary by 30 minutes. What are the possible time lengths for the childs nap and night time sleep?In a sports poll, 53 of those surveyed believe their high school football team will win the state championship. The poll shows a margin of error of Â±5 percentage points. Write and solve an absolute value inequality to find the least and the greatest percent of people that think their team will win the state championship.For Exercises 15, choose the correct letter. What are the solutions of 4a32? A. a8 C. 8a8 B. a8 or a8 D.For Exercises 15, choose the correct letter. What are the solution(s) of n4=14? F. n=10 G. n=18 or n=18 H. n=10 or n=18. I.For Exercises 15, choose the correct letter. What are the solution(s) of 42x+1=3? A. z=12 B. z=12 C. z=12 or z=12 D.For Exercises 15, choose the correct letter. Some people are guessing the number of jelly beans in a jar. Each person who guesses within 15 of the correct number will win a prize. The correct number of jelly beans is $389 .$ What values of n represent the numbers that will win a prize? F. n=389 or n=404 H. 389n404 G. n=389 and n=404 I. 374n404 For Exercises 15, choose the correct letter. A carpenter is cutting a 2 by 4 for the framing of a roof. The length needs to be 5 feet. He allows 0.1 foot possible variation for the length of the cut. What values of l represent the acceptable lengths for the board, in feet? A. l=5 B. l5.1 C. l4.9 D. 4.9l5.1 A student reads an average of 34 pages per day. The number of pages she reads per day varies from the average by up to 8 pages. a. Write an absolute value inequality that represents the range of the number of pages she reads per day. b. Solve your inequality.Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. AB Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. AC Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. AD Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. 8C Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. BD Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. CD Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. AB Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. AC Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. AD Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. ABC Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. DCB Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. ACD Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. ABD Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. ACD Find each union or intersection. Let A=1,3,5,7,9,B=xx is a positive. odd integer less than 10,C=1,2,4,7, and D=xx is a negative integer between 5and1. BCD Draw a Venn diagram to represent the union and intersection of these sets. Let V=p,m,b,a,d,e,W=i,t,b,p and X=g,e,r,z,p.Draw a Venn diagram to represent the union and intersection of these sets. Let L=allnegativeoddintegers, M= all negative integers greater than or equal to 5, and N=3,1,0,3,1.Each student at a particular school participates in at least one type of activity-sports or music. Fifty students participate in both sports and music. Two hundred students participate in sports. Fifty students participate in music only. There are a total of 250 students at the school. How many students only participate in sports?A local parks department asked 300 people if they should build new basketball courts and/or new skateboard ramps. They were not allowed to answer 'neither' If 233 people said they want new basketball courts and 94 people said they want both new basketball courts and skateboard ramps, how many people said they wanted new skateboard ramps?Solve each inequality. Write the solutions as either the union or intersection of two sets. 2x311 Solve each inequality. Write the solutions as either the union or intersection of two sets. 507n+822 Solve each inequality. Write the solutions as either the union or intersection of two sets. 2w50 Solve each inequality. Write the solutions as either the union or intersection of two sets. 124d+16 Solve each inequality. Write the solutions as either the union or intersection of two sets. 5n+310 Solve each inequality. Write the solutions as either the union or intersection of two sets. 1.5t0.754 A salon offers three services-manicures, massages, and hair styling. Five clients come in for all three services. Forty clients come in for both hair styling and manicures. Thirty-five clients come in for both manicures and massages. Fifteen clients come in for both hair styling and massages. Ten clients come in only for massages. Five clients only come in for hair styling and only two clients come in for just manicures. How many total clients are represented by the data?Solve each exercise and enter your answer on the grid provided. Let A=1,3,5 and B=xxisanintegerlessthan2. Find AB.Solve each exercise and enter your answer on the grid provided. Let C=1,2,3,4,5 and D=xxisapositive,evenintegerlessthan7. How many elements are in CD?Solve each exercise and enter your answer on the grid provided. Let X=8,10,12,Y=6,7,8, and Z=4,4,8. Find XYZ.Solve each exercise and enter your answer on the grid provided. Let M=1,3,5,7,N=xxisanevenwholenumberlessthan12, and p=xxisanoddwholenumberlessthan4. How many elements are in(MN)P?Solve each exercise and enter your answer on the grid provided. Let F=1,0,1,2,3,G=1,3,5,7, and H=2,4,6,8. What is the difference of the number of elements of GH and the number of elements of FG?What are the variables in each graph? Describe how the variables are related at various points on the graph.What are the variables in each graph? Describe how the variables are related at various points on the graph.What are the variables in each graph? Describe how the variables are related at various points on the graph.Match each graph with its related table. Explain your answers.Match each graph with its related table. Explain your answers.Match each graph with its related table. Explain your answers.Sketch a graph to represent the situation. Label each section. You buy two shirts. The third one is free.Sketch a graph to represent the situation. Label each section. You warm up for gym class, play basketball, and then cool down.Sketch a graph to represent the situation. Label each section. The temperature warms up during the day and then decreases at night.Error Analysis DVDs cost $19.99 each for the first 2 purchased. After that, they cost $5.99 each. Describe and correct the error in sketching a graph to represent the relationship between the total cost and the number of DVDs purchased.Sketch a graph of each situation. Are the graphs the same? Explain. a. your distance from school as you leave your house and walk to school b. your distance from school as you leave school and walk to your house For Exercises $1-3,$ choose the correct letter. The graph shows your distance from the practice field as you go home after practice. You received a ride from a friend back to his house where you ate supper. You then walked home from there. Which point represents a time when you are walking home? A. A B. Đ’ C. C D. D For Exercises 13, choose the correct letter. Which table is related to the graph at the right?For Exercises 1-3, choose the correct letter. How are the variables related on the graph? A. as speed decreases, height stay constant B. as speed decreases, height increases C. as speed increases, height decreases D. as speed increases, height increases For the race you swim 1 mile, run 10 miles, and bike 25 miles. Sketch a graph to represent the relationship. Label the axes with the related variables. What are the important points on the graph?For each diagram, find the relationship between the number of shapes and the perimeter of the figure they form. Represent this relationship using a table, words, an equation, and a graph.For each diagram, find the relationship between the number of shapes and the perimeter of the figure they form. Represent this relationship using a table, words, an equation, and a graph.For each table, determine whether the relationship is a function. Then represent the relationship using words, an equation, and a graph.For each table, determine whether the relationship is a function. Then represent the relationship using words, an equation, and a graph.For each table, determine whether the relationship is a function. Then represent the relationship using words, an equation, and a graph.For each table, determine whether the relationship is a function. Then represent the relationship using words, an equation, and a graph.Reasoning Graph the set of ordered pairs (0,2),(1,4),(2,6) $(3,8). Determine whether the relationship is a linear function. Explain how you know.You can make a bubble solution by mixing 1 cup of liquid soap with 4 cups of water. Represent the relationship between the cups of liquid soap and the cups of bubble solution made using a table, an equation, and a graph. Is the amount of bubble solution made a function of the amount of liquid soap used? Explain.For Exercises 14, choose the correct letter. Which equation represents the relationship shown in the table at the right? A. y=x3 C. y=2x3 B. y=x3 D. y=2x+3 For Exercises 14, choose the correct letter. In a relationship between variables, what is the variable called that changes in response to another variable? F. function H. independent variable G. input function I. dependent variable For Exercises 14, choose the correct letter. A lawn care company charges a $10 trip fee plus $0.15 per square foot of x square feet of lawn for fertilization. Which equation represents the relationship? A. x=0.10y+15 B. y=0.15x+10 c. y=10x+0.15 x=10y+0.15 Which equation represents the relationship shown in the graph? F. y=2x H. y=12x G. y=2x I. y=12x The table below shows the relationship between the number of teachers and the number of students going on a field trip. How can the relationship be described using words, an equation, and a graph?A students earnings E, in dollars, is a function of the number h of hours worked. Graph the function shown by the table. Tell whether the function is linear or nonlinear.Graph the function shown by each table. Tell whether the function is linear or nonlinear.Graph the function shown by each table. Tell whether the function is linear or nonlinear.Each set of ordered pairs represents a function. Write a rule that represents the function. (0,1),(1,3),(2,9),(3,27),(4,81)Each set of ordered pairs represents a function. Write a rule that represents the function. (0,0),(1,1),(2,4),(3,9),(4,16)Each set of ordered pairs represents a function. Write a rule that represents the function. (0,1),(1,0.5),(2,0.25),(3,0.125),(4,0.0625)Each set of ordered pairs represents a function. Write a rule that represents the function. (0,0),(1,1),(2,8),(3,27),(4,64)Reasoning A certain function fits the following description: As the value of x increases by 1 each time, the value of y decreases by the square of x. Is this function linear or nonlinear ? Explain your reasoning.Writing The rule C=6.3r gives the approximate circumference C of a circle as a function of its radius r. Identify the independent and dependent variables in this relationship. Explain your reasoning.Open-Ended What is a rule for the function represented by (0,2),(1,1),(2,2),(3,7)? Explain your reasoning.A landscape architect wants to make a triangular garden inside a square of land as shown at the right. What is a rule for the area A of the garden as a function of s?For Exercises 15, choose the correct letter. Which ordered pair represents a linear function? A. (2,15),(1,9),(0,3),(1,3), and (2,9) B. (2,4),(1,1),(0,0),(1,1), and (2,4) C. (-2,-1),(-1,-4),(0,-5),(1,-4) and (2,-1) D. (2,8),(1,1),(0,0),(1,1), and (2,8)For Exercises 15, choose the correct letter. The following ordered pairs represent a function: (-2,10),(-1,7),(0,6),(1,7) and (2, 10). Which equation could represent the function? F. y=4x+2 G. y=x26 H. y=5x I. y=x2+6 For Exercises 15, choose the correct letter. Which rule could represent the function shown by the table at the right? A. y=x3 B. y=x2+1 c. y=x2+1 D. y=x1 For Exercises 15, choose the correct letter. The ordered pairs (-1,1),(0,2),(1,1),(2,-2), and (3,-7) represent a function. Which rule could represent the function? F. y=x22 G. y=x2+2 H. y=x22 I. y=x2+2 For Exercises 15, choose the correct letter. Which ordered pair represents a nonlinear function? A. (0,0),(1,1),(2,2),(3,3), and (4,4) C. (0,1),(1,0),(2,1),(3,2), and (4,3) B. (0,0),(1,1),(2,2), and (4,-4) D. (0,0),(1,1),(2,8),(3,27), and (4,64)Graph the function shown in the table below. Is the function linear or nonlinear?Graph each function rule. y=2x Graph each function rule. y=12x Graph each function rule. y=3x+1 Graph each function rule. Tell whether the graph is continuous or discrete. The cost C, in dollars, for a health club membership depends on the number m of whole months you join. This situation is represented by the function rule C=49+20m.Graph each function rule. Tell whether the graph is continuous or discrete. The cost C, in dollars, for bananas depends on the weight w, in pounds, of the bananas. This situation is represented by the function rule C=0.5w.Graph each function rule. y=x+1 Graph each function rule. y=x3 Graph each function rule. y=x2 Graph each function rule. y=x1+2 Graph each function rule. y=x2 Graph each function rule. y=x33 Open-Ended Sketch a graph of a quadratic function that has x-intercepts at 0 and 4.Writing Describe the general shape of the graphs of functions of the form y=ax3.For Exercises 14, choose the correct letter. Which table of values can be used to graph the function y=4x+3?For Exercises 14, choose the correct letter. Which term best describes a function whose graph is composed of isolated points? F. continuous G. Linear H. Discrete I. nonlinear For Exercises 14, choose the correct letter. Which relationship is continuous? A. The number of cows a farmer has owned over the years B. The number of cookies Stan baked for the party C. The number of people attending the assembly D. The distance a runner ran during training For Exercises 14, choose the correct letter. The total cost c a painter charges to paint a house depends on the number h of hours it takes to paint the house. This situation can be represented by the function rule c=15h+245. What is the total cost if the painter works for 30.25 hours? F. $245 G. $453.75 H. $572.75 I. $698.75 The profit y on the number x of items a store sells is represented by the rule y=2x1. What does a table of values for the function rule and the graph of the function look like?Write a function rule that represents each sentence. 5 less than one fourth of x is y.Write a function rule that represents each sentence. 7 more than the quotient of a number n and 4 is 9.Write a function rule that represents each sentence: P is 9 more than half of q.Write a function rule that represents each sentence. 8 more than 5 times a number is -27.Write a function rule that represents each sentence. 1.5 more than the quotient of a and 4 is b.For Exercises 610, write a function rule that represents each situation. The price p of an ice cream is $3.95 plus $0.85 for each topping t on the ice cream.For Exercises 610, write a function rule that represents each situation. A babysitters earnings e are a function of the number of hours n worked at a rate of $7.25 per hour.For Exercises 610, write a function rule that represents each situation. The price p of a clubs membership is $30 for an enrollment fee and $12 per week w to be a member.For Exercises 610, write a function rule that represents each situation. A plumbers fees f are $75 for a house call and $60 per hour h for each hour worked.For Exercises 610, write a function rule that represents each situation. A hot dog d costs $1 more than one-half the cost of a hamburger h.JosĂ© is 3 years younger than 3 times his brothers age. Write a rule that represents JosĂ©s age j as a function of his brothers age b. How old is JosĂ© if his brother is 5?A taxicab charges $4.25 for the first mile and $1.50 for each additional mile. Write a rule for describing the total rate r as a function of the total miles m What is the taxi rate for 12 miles?Write a function rule for the area of a rectangle whose length is 4 in. more than its width. What is the area of the rectangle when its width is 8 in.?Write a function rule for the area of a rectangle with a length 3ft more than two times its width. What is the area of the rectangle when its width is 4ft?Write a function rule for the area of a triangle with a base 2 m less than 4 times its height. What is the area of the triangle when its height is 8m?Reasoning Write a rule that is an example of a nonlinear function that fits the following description. When b is 49, a is 7, and a is a function of b.Open-Ended Describe a real-world situation that represents a nonlinear function.Writing Explain whether or not the relationship between inches and feet represents a function.Multiple Representations Use the table shown at the right. a. Graph the ordered pairs on a coordinate plane. b. Write an equation that can be used to find y for any x value. c. Is the equation a function? Explain.For Exercises 15, choose the correct letter. Jill earns $45 per hour. Using p for her pay and h for the hours she works, what function rule represents the situation? A. h=45p B. p=45h C. h=p+45 D. p=h+45 For Exercises 15, choose the correct letter. What is a function rule for the perimeter P of a building with a rectangular base if the width w is two times the length l? F. P=2l G. P=2w H. P=6l I. P=6w For Exercises 15, choose the correct letter. Which function rule can be used to represent the area of a triangle with a base b 8 in. longer than twice the height h in terms of the height? A. A=12bh C. A=h2+4h B. A=12h(h+8) D. A=12(2h)(h+8)For Exercises 15, choose the correct letter. Which equation represents the sentence ' d is 17 less than the quotient of n and 4? F. d=n417 H. d=4n17 G. d=n4+17 I. d17=n4 For Exercises 15, choose the correct letter. The function rule for the profit a company expects to earn is P=1500m+2700, where P represents profit and m represents the number of months the company has been in business. How much profit should the company earn after 12 months in business? A. $15,700 B. $17,700 C. $18,000 D. $20,700 A plane was flying at an altitude of 30,000 feet when it began the descent toward the airport. The airplane descends at a rate of 850 feet per minute. a. What is the function rule that describes this situation? b. What is the altitude of the plane after it has descended for 8 minutes? Show your work. c. Use the function in part a to determine how long it takes for the plane to land if it descends at a continuous rate.Identify the domain and range of each relation. Use a mapping diagram to determine whether the relation is a function. (3,6),(5,7),(7,7)(8,9)Identify the domain and range of each relation. Use a mapping diagram to determine whether the relation is a function. (0,0.4),(1,0.8),(2,1.2),(3,1.6)Identify the domain and range of each relation. Use a mapping diagram to determine whether the relation is a function. (5,4),(3,5),(4,3),(6,4)Identify the domain and range of each relation. Use a mapping diagram to determine whether the relation is a function. (0.3,0.6),(0.4,0.8),(0.3,0.7),(0.5,0.5)Use the vertical line test to determine whether the relation is a function.Use the vertical line test to determine whether the relation is a function.The function w(x)=60x represents the number of words u(x) you can type in x minutes. How many words can you type in 9 minutes?Sound travels about 343 meters per second. The function d(t)=343t gives the distance d(t) in meters that sound travels in t seconds. How far does sound travel in 8 seconds?Find the range of each function for the given domain. f(x)=3x+2;2,1,0,1,2 Find the range of each function for the given domain. f(x)=x3;1,0.5,0,0.5,1 Find the range of each function for the given domain. f(x)=4x+1;4,2,0,2,4 Find the range of each function for the given domain. f(x)=x2+2;0,14,12,34,1 Find a reasonable domain and range for each function. Then graph the function. A high school is having a pancake breakfast fundraiser. They have 3 packages of pancake mix that each feed 90 people. The function N(p)=90p represents the number of people N(p) that p packages of pancake mix feed.Find a reasonable domain and range for each function. Then graph the function. A charter boat travels at a maximum rate of 25 miles per hour. The function d(x)=25x represents the distance d(x), in miles, that the boat can travel in x hours. The charter boat travels a maximum distance of 75 miles from the shore.Reasoning If f(x)=x23 and f(a)=46, what is the value of a? Explain.Open-Ended What is a value of x that makes the relation (2,4),(3,6),(8,x) a function?Solve each exercise and enter your answer on the grid provided. What is f(3) for the function f(x)=5x7?Solve each exercise and enter your answer on the grid provided. You have returned some merchandise to a store and received a store credit of \$23. In the same store, you are purchasing picture frames that cost $9 each. The function f(x)=9x23 represents your total cost f(x) if you purchase x picture frames. How many dollars will you pay if you purchase 7 picture frames?Solve each exercise and enter your answer on the grid provided. If f(x)=12x+14, what is the range value for the domain value 3?Solve each exercise and enter your answer on the grid provided. When Jerome travels on the highway, he sets his cruise control at 65mi/h. The function f(x)=65x represents his total distance f(x) when he has traveled x hours. How many miles will he have travelled after 3.5 hours of driving on the highway?Solve each exercise and enter your answer on the grid provided. For what value of x is the value of f(x)=4x2 equal to 18?Describe the pattern in each sequence. Then find the next two terms of the sequence. 3,6,12,24,Describe the pattern in each sequence. Then find the next two terms of the sequence. 9,15,21,27,Describe the pattern in each sequence. Then find the next two terms of the sequence. 1.5,2.25,3,3.75,Describe the pattern in each sequence. Then find the next two terms of the sequence. 9.9,8.8,7.7,6.6,Describe the pattern in each sequence. Then find the next two terms of the sequence. 1.5,4.5,13.5,40.5,Describe the pattern in each sequence. Then find the next two terms of the sequence. 40,20,10,5,Describe the pattern in each sequence. Then find the next two terms of the sequence. 7,11,15,19,Describe the pattern in each sequence. Then find the next two terms of the sequence. 67,60,53,46,Describe the pattern in each sequence. Then find the next two terms of the sequence. 12,7,2,3,Tell whether the sequence is arithmetic. If it is, identify the common difference. 4,8,12,16,Tell whether the sequence is arithmetic. If it is, identify the common difference. 11,5,0,6,Tell whether the sequence is arithmetic. If it is, identify the common difference. 4,8,16,32,Tell whether the sequence is arithmetic. If it is, identify the common difference. 12,23,34,45,Tell whether the sequence is arithmetic. If it is, identify the common difference. 2,4,7,9,Tell whether the sequence is arithmetic. If it is, identify the common difference. 1,3,9,27;Tell whether the sequence is arithmetic. If it is, identify the common difference. 16,11,6,1,Tell whether the sequence is arithmetic. If it is, identify the common difference. 9,4.5,0.5,4,Tell whether the sequence is arithmetic. If it is, identify the common difference. 7,14,21,28,Tell whether the sequence is arithmetic. If it is, identify the common difference. 0,13,23,1,Tell whether the sequence is arithmetic. If it is, identify the common difference. 5,10,15,20,Tell whether the sequence is arithmetic. If it is, identify the common difference. 2,20,200,2000,

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