Cumulative chapters -3 review Name:_ Period:. Tell whether each graph represents a function. a. b.. Determine whether each function has an absolute maximum or absolute minimum. If the graph has neither an absolute maximum nor an absolute minimum, write none. a. f( x) = x b. f( x) = x+ 5 c. f x = d. f( x ) = 3 x ( ) 5x 3. Solve the equation. 5(x + ) 8 = x + 3. Solve the inequality and graph the solution on the number line. ( x ) + 5. Evaluate each expression. Show your work. a. b. 8(7)
6. Holly has $50 to spend at the shopping mall. She decides to buy sweaters and pants with her money. Sweaters cost $35 each and pants cost $0 each. a. Write an equation to represent this problem situation. Use s to represent the number of sweaters and p to represent the number of pants. b. If Holly buys 3 sweaters, what is the greatest number of pants she can buy? Show your work and explain your reasoning. c. If Holly buys no pants, what is the greatest number of sweaters she can buy? Show your work and explain your reasoning. 7. Sam rode in a hot air balloon. After the balloon began its initial descent, it stayed in the air at a constant height for a few minutes, then it continued its descent to the ground. The graph shows this relationship. In the graph, what is the independent quantity and what is the dependent quantity? 8. Classify each function as increasing, decreasing, or constant. a. f(x) = 0. b. f( x) = x, where x is an integer 5 c. f(x) = x d. f(x) = 7 x 9. Classify each function as a linear function, a linear absolute value function, a quadratic function, or an exponential function. a. f(x) = x b. f(x) = 0 c. f(x) = 0.5 x d. f(x) = 8(x )
0. Create an equation and sketch a graph for each set of given characteristics. is a function is linear is discrete is increasing. Evaluate the function f(x) = 0.078x +.053 at each of these values. a. f(.605) b. f(.009). Solve the inequality and graph the solution on the number line. 3(x 3) < 3. Graph the compound inequality on the number line. x > 3 and x. Solve the absolute value equation. x + 7 =
5. The table shows the attendance at a minor-league baseball game for the first 8 games of the season. Game 3 5 6 7 8 Attendance 8,673 8,903 9,03 9,09 9,7 9,3 9,56 9,573 a. Determine a linear regression equation for the data. Round the slope and y-intercept to the nearest whole number. b. Identify the correlation coefficient, or r-value, of the line. What does this value tell you? c. Predict the attendance for game. Show your work and explain your reasoning. 6. Write the equation 5x + y = 6 in slope-intercept form. 7. Mr. Wendell operates a concession stand at the park. He charges $3.5 for each hot dog, and each month four lucky customers get a free hot dog. He always sells more hot dogs than he gives away. a. Write a linear function to represent the amount of money Mr. Wendell earns each month. Let x represent the number of hot dogs. b. How much would Mr. Wendell earn in a month if he distributed 55 hot dogs out to customers? Show your work. 8. Classify each function as increasing, decreasing, or constant. a. b. c.
9. Determine whether each function has an absolute maximum or absolute minimum. If the graph has neither an absolute maximum nor an absolute minimum, write none. a. b. c. 0. Match each function to its graph. a. b. c. d.. Riley buys pairs of socks for $ a pair and a sweater for $35. She has $50. Write an inequality that shows the number of pairs of socks s she can buy without spending more than $50.
. Solve the inequality, and graph the solution on the number line. 3. A number is less than or greater than 35. Write a compound inequality that represents the possible values of the number. Then graph the compound inequality on the number line.. Evaluate = x 6 + 8. Show your work. 5. The table shows the miles driven by a truck driver. The distance is the total number of miles driven. Time (hours) 0 3 5 6 7 Distance (miles) 0 3 87 0 0 50 03 6 a. Determine a linear regression equation for the data. Round the slope and y-intercept to the nearest whole number. b. Identify the correlation coefficient, or r-value, of the line. What does this value tell you? c. Predict the distance traveled after 9 hours. Show your work and explain your reasoning. 6. What is the x-intercept for the equation? Standardized Test Practice 7. Which is a linear function? a. f(x) = x + b. f(x) = x c. f(x) = x d. f(x) = x
8. Grissom draws different-sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the length of its diameter. What is the independent quantity in the situation? a. cost of Grissom s notebook b. length of diameter c. volume of sphere d. number of spheres Grissom draws 9. Which is a quadratic function? a. f(x) = 3 b. f(x) = ( x ) c. ff(xx) = xx d. f(x) = x 0 30. Which of the following descriptions is not true of an exponential function? a. It has an absolute minimum or maximum b. It increases or decreases over the entire domain. c. Its graph is a smooth curve. d. It can be discrete or continuous 3. Which statement about the function is true? a. It has an absolute minimum b. It has an absolute maximum. c. It has both an absolute minimum and an absolute maximum. d. It has neither an absolute minimum nor an absolute maximum. 3. Which is an exponential function? a. f(x) = x + 3 b. f(x) = x + c. f(x) = 8 x d. f(x) = x + 9 33. What is the solution to the equation (x 3) 8 = 6? a. b. 3 c. 7 d. 9 3. Which graph represents the compound inequality x < 3 or x >? a. b. c. d. 35. Determine the unit rate of change of the ordered pairs (0, ) and (50, ). a. 0 b. 0.00 c. 0.788 d. 03.33 36. What is the value of the linear absolute value expression a. 9 b. 9 c. 5 7 + 8 5 d.?
37. The graph shows which intersection? a, b. c. d. f( x) = x+ 0 when f( x) = 6 f( x) = x 0 when f( x) = 6 f( x) = x+ 0 when f( x) = 6 f( x) = x 0 when f( x) = 6 38. What is the value of f(x) = 3.5x +. at x =.? a. 8.76 b..70 c..0 d. 36.06 39. Which compound inequality does the graph represent? a. 3 7 0 or 5 5 x < x< b. 3 7 or 5 5 x+ x< c. 3 7 0 or 5 5 x+ > x< d. 3 7 0 or 5 5 x > x< 0. What is the y-intercept for the equation x 3y = 8? a. (0, 6) b. (0,.5) c. (0,.5) d. (0, 6). The equation d = rt gives the distance d for rate r and time t. Which shows the equation correctly solved for time? a. r t = b. d d t = c. t = d r d. t = d r r. Rewrite the function c(x) = 9(x + 3) using the Distributive Property. a. c(x) = 9x + b. c(x) = 9x + 7 c. c(x) = 9x + 93 d. c(x) = 3x + 7 3. What is the x-intercept of the equation y = x+ 6? a. (, 0) b. ( 3, 0) c. (0, 3) d. (0, ). The equation A = πr gives the area A of a circle with radius r. Solve the function for radius. a. π r = b. A A r = c. π A r = d. r = π π A
5. Which shows the equation y = x 7 in standard form? a. y+ 7 = x b. x+ y = c. y = x d. x y = 6. Steve bought wrenches of different sizes. He spent $0 for each wrench for his toolbox. The expression y = 0x shows how much he spent for the wrenches. What does the dependent variable represent in this situation? a. the number of sizes of wrenches b. the number of wrenches bought c. the number of wrenches in the toolbox d. the cost of h wrenches 7. Which shows the equation x 8y = 6 in slope-intercept form? a. y = x+ b. y = x c. y = x+ d. y = x 8. Graph the equation x or x> 0 on the number line below. 9. Solve x 3 6. Graph the solution on the number line.
Choose the term that best completes each sentence. linear regression line of best fit linear regression equation significant digits correlation coefficient 50. The equation that describes a line of best fit is called a. 5. A is a line that best approximates the linear relationship between two variables in a data set. Define variables and write an equation to represent the situation. 5. Ling is selling jewelry at a craft fair. She sells earrings for $5 each and bracelets for $7 each. She hopes to earn $300 during the fair. Write an equation to represent the total amount Ling would like to earn during the fair. The basketball booster club runs the concession stand during a weekend tournament. They sell hamburgers for $.50 each and hot dogs for $.50 each. They hope to earn $900 during the tournament. The equation.50b +.50h = 900 represents the total amount the booster club hopes to earn. Use this equation to determine each unknown value. 53. If the booster club sells 68 hot dogs during the tournament, how many hamburgers must they sell to reach their goal? Determine the x-intercept and the y-intercept of each equation. 5. y = 8x + 68 55. x + 5y = 3 56. y = 6x + 9 Convert each equation from slope-intercept form to standard form. 57. y = x 6 58. 3 3 y = x+ 0