CC Algebra. Midterm Review #2
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1 Name: CC Algebra Date: Midterm Review # 1. It costs $75 per hour plus a $65 service fee to have a home theater system set up for you. Let t represent the number of hours. Which expression represents the total cost? a. 75 t 65 c. 140 t b. 65t 75 d. 75t 5. What property is illustrated by the equation (8 + ) + 7 = ( + 8) + 7? a. Commutative Property of Addition b. Associative Property of Addition c. Distributive Property d. Identity Property of Addition. The accompanying diagram represents the graphs of the inequalities y 3 and x <. 6. The data in the table below are graphed, and the slope is examined. The rate of change represented in this table can be described as Which of the ordered pairs names a point in the solution set of this system of inequalities? a. ( 3, 5) c. (3, 5) b. (3, 5) d. ( 3, 5) 3. What is an algebraic expression for 4 more than the product of 3 and a number? a. (4 + 3)x c. 4 3x b x d. 3x 4 a. negative c. positive b. zero d. undefined 7. Harry makes coffee tables as his hobby. It costs him $85 to make one table. His fixed costs are $50. If he can sell his tables for $15, how many must he sell to break even? a. 13 c. 4 b. 15 d What is 9 + y 11y increased by 13y 7 + y? a. 15y 9y c. 15y + 9y + b. 15y 4 9y + d. 15y 9y + 8. Solve the given equation: 5x x + 15 = x + 14 a. 1 c. 9 b. 9 d. 1
2 9. The length of a rectangular window is 3 times its width. Which equation will determine the dimensions if the area of the window is 154 square inches? 13. What inequality is illustrated in the accompanying graph? a. 3w = 0 b. 1w = 154 c. w + 3w = 154 d. 3w = What ordered pair is the solution of this system of equations? 4x y = 10 x + y = 1 a. (, 5) c. ( 4, 8) b. ( 4, 8) d. (, 1) 11. What is the solution to the inequality 7 x < 9? 5 a. x > 6 c. x > 19 b. x < 5 d. a. y < c. x < b. y > d. x > 14. Which one the following ordered pairs is in the solution of y x + 3? a. (3, ) c. (0, 0) b. (1, 4) d. (0, 5) 15. In the diagram below, what is the slope of the line passing through points A and B? 1. The perimeter P of a rectangle with length l and width w can be represented by the equation P = l + w. Which expression represents the width in relation to P and l? a. w = P l b. w = P l 1 c. w = P l P l d. w = 1 a. c. b. 1 d.
3 16. Solve 9w = 4x for w. 17. What are the solutions of 3d 4 < 10 or d + 7 9? a. w = 4x 9 9 a. d > b. w = x 4 b. d 1 4 c. < d 1 c. w = x 9 d. d < or d 1 d. w = x At Raging River Sports, polyester fill sleeping bags sell for $79. Down filled sleeping bags sell for $149. In one week the store sold 14 sleeping bags for $1456. Find the number of each type sold. 19. Find the product of (3x + ) and (9x 6x + 4). Express your answer in simplest form. 0. The formula 5 F C 3 changes a temperature reading from Celsius scale C to Fahrenheit scale 9 F. What is the temperature measured in degrees Fahrenheit when the temperature is 5 C?
4 1. Simplify the expression. Justify each missing step with a property of real numbers. 5 + (3x + ) = 5 + ( + 3x) = (5 + ) + 3x = 7 + 3x Combine Like Terms. Solve and check: 1 a a = Solve this equation for x in terms of y: 3x + y = 4 4. Solve and graph the solution set for the given inequality: 5x + (3 17x) > 3x ( x + 3)
5 5. Find three consecutive positive odd integers such that twice the sum of the second and the third is two less than six times the first. 6. The length of a rectangle is 4 centimeters longer than the width. The perimeter of the rectangle is 7 centimeters. Find the length and width of the rectangle. 7. Solve the compound inequality 4 3p 7 < 5. Graph your solution on the number line.
6 8. On the same set of coordinate axes, graph the following system of inequalities. Remember to label your solution and check. x y < 1 y x + 4
A. 16 B. 16 C. 4 D What is the solution set of 4x + 8 > 16?
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Midterm: Wednesday, January 23 rd at 8AM Midterm Review
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