Name: ________________________

Algebra 1 Cumulative Test Review

Complete the Cumulative Test Review by the given due date. Show all work in order to receive credit. 1. What is the Order of Operations? _________________________________________________________________________________________ 2. Find the value of 16 + 12x – x3 when x = 2 3. Evaluate: – (– 6) – (– 9) + – 4 4. Evaluate: 12  +  48  y  6  5. Evaluate: 5 x (42 + 7). 6. Evaluate: –µ–16µ 7. Find the value of 4y2 y 2 + 16 when y = 3. 8. Simplify the expression 11x – 2y + 5y – 3x 9. Simplify: 11y + 3(7 – y)

Due: Wednesday, January 13, 2016

10. Simplify −4(2𝑥  +  3)  +  5𝑥 11. Simplify 2(3𝑥 − 4) − 2(𝑥 − 4) 12. Is x = 5 a solution of the equation 2𝑥 –  5  =  9  +  𝑥 ?

CIRCLE: YES or NO 13. Which equation does NOT have a solution of w = 5? A. 3w – 4 = 11 B. 10w – 22 = 38

C. 12 + 2w = 22 D. 17 = 22 – w 14. Is (–1, 9) a solution to the equation 3y – 3x = 30? CIRCLE: YES or NO 15. Circle each set of numbers the given number is included in.

–3 Whole Real Rational Integer Natural Irrational 12

Whole Real Rational Integer Natural Irrational

0 Whole Real Rational Integer Natural Irrational

13 Whole Real Rational Integer Natural Irrational

Solve each equation (#16-29). Circle your answer.

16. – 6 =  3 + 𝑥 17. 194x

�

18.  3𝑥 –  5 –  2𝑥  =  3 19. 2 4 123x �

20. 3(𝑥 –  7)  =  𝑥 –  4  +  2𝑥 21. 4(3 –  𝑥)  +  5𝑥  = – 3(𝑥  +  8) 22. 5𝑥 –  2(𝑥  +  4)  =  4 (5 –  𝑥) 23. 2(𝑟 –  5)  +  3  =  5(𝑟  +  4) –  19 24. 3(𝑦  +  2)  +  7  =  4(𝑦 –  1)  +  4 25. 2(𝑥  +  4)  +  3𝑥  =  5(𝑥  +  1)  +  3

26. 63

102

�x 27.

3952 xx

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28. 12 x 29. 84 �x

Solve the literal equation for the indicated variable (30-32).

30. 𝐴  =   12bh  𝑓𝑜𝑟 ℎ. 31. Solve the equation 2𝐿  +  2𝑊  =  𝑃 𝑓𝑜𝑟 𝐿

32. Rewrite in function form: 2𝑥  +  4𝑦  =  20 33. Write an inequality to model the real life situation describe below (DO NOT SOLVE!): The product of $35 and the number of club members (M) is less than 650. Inequality: ___________________ 34. Write and solve an equation to model the description. a. Three less than twice a number is seventeen. b. The sum of five and three times a number is 20. Equation: ______________ Equation: ______________ Solution: ____________ Solution: ____________ 35. Write let statements, an equation, and solve. Write a sentence to describe your solution. a. The smaller of two numbers is 14 less than the larger and their sum is 64. Find the smaller number.

b. The sum of three consecutive even integers is 66. What is the larger integer?

Answer in a Sentence: Answer in a Sentence: ___________________________________ ___________________________________

Which property of real numbers is demonstrated in each problem below? 36. 3𝑥  +  6  =  3(𝑥  +  2) 37. 𝑎  +  𝑏  +  𝑐  =  𝑏  +  𝑎  +  𝑐 38. 𝑎  + (𝑏  +  𝑐)  =   (𝑎  +  𝑏)  +  𝑐 ____________________ ____________________ ____________________ 39. Evaluate the function 𝑓(𝑥)  =  10𝑥 –  2 using {3, 0, – 2} as your domain. a.𝑓(3) = b. 𝑓(−2)  = c. 𝑓(0)  =

Given 𝑓(𝑥)  =  5𝑥 –  2 complete the following: 40. Find 𝑓(3) 41. Find 𝑥 if 𝑓(𝑥)  =  18  BE CAREFUL! *Frequently Missed Question* 𝑓(3) = ___________ 𝑥 = __________ 42. a. What is the missing value for the function shown in the chart? Missing Value: _______ b. Write an equation to describe the function. Equation: _____________________ 43. Which does NOT represent a function? A. (1, 4) , (6, 5) , (4, 2) , (5, 0) B. (1, 2) , (3, 5) , (4, 2) , (5, 0)

C. (1, 4) , (6, 3) , (3, 2) , (7, 1) D. (1, 2) , (3, 5) , (1, 6) , (4, 7) 44. What is the domain and range of the graph? Domain = _______________ Range = ________________ Is this a function? Yes or No

Input Output 3 –2 5 0

7 ? 9 4

x

x 45. What is the domain and range of the graph? Domain = _______________ Range = ________________ Is this a function? Yes or No Solve and graph the inequality. 46. x < 4 47. 3x – 6 > 3 48. –2x + 4 < 16 49. 2x + 7 > –2x – 1

50. –3x + 6 < 4x – 8 51. –22 < 4x – 10 < 6 52. 3x > 15 OR 4x + 5 < 1

0 0

0 0

0 0

0