Corona-Norco Unified School District s2

CORONA-NORCO UNIFIED SCHOOL DISTRICT PRE-ALGEBRA REVIEW SECOND TRIMESTER (Units 4, 5 & 6)

1. Simplify: b-2 53j 2 k 6 4. Which expression is equivalent to 5 j4 k 5 A. -b2 1 25k B. A. b2 j 2 1 5 j 2 C. B. 2b k D. -2b j2 k C. 25 j 2 D. 2 25k 骣3 2. Simplify: 琪桫5 9 骣14 骣 1 - 2 A. 5. 琪� 琪 15 桫2 桫 2 9 B. 2 25 骣1 A. 琪 3 桫2 C. 25 6 骣1 B. 琪 9 桫2 D. 5 -6 骣1 C. 琪桫2 2 3 骣3x -2 3. Simplify: 骣1 琪 D. 琪桫4 桫2

27x 6 A. 12 9x5 B. 12 9x6 C. 64 27x 6 D. 64

Revised Jul 10 6. Mariko shared with her partner that she 9. Aldolfo wants to write the number 3 thought (2x) simplified to 6x . Her 6,710,000 in scientific notation but can’t partner/coach rewrote the problem to read remember whether the exponent should be positive or negative. A group member 2x贩 2 x 2 x . Which of the following is 3 offers an explanation to help him remember. equivalent to(2x) ? Which explanation is true for a nonzero number? A. 8x3 A. Multiplying any number by 10positive # B. 6x3 produces a smaller number C. 8x B. Multiplying any number by 10positive # D. 6x produces a larger number

negative # -3x4 y 9 C. Multiplying any number by 10 7. Simplify 5 2 produces a larger number 9x y D. Multiplying any number by 10negative # A. -3xy 7 produces a negative number x B. 27y 7 10. Which expression is equivalent to 0.72 ? 3y 7 C. - x A. 49 y 7 B. 1.4 D. - 3x C. .49 D. .14

8. Which of the following shows 987,000,000 written in scientific notation?

A. 9.87 x 108 B. 98.7 x 107 C. .987 x 10-9 D. 9.87 x 10-8 11. Choose an equivalent expression for rg s g s g r g r g r

A. 4r+ 2 s B. 4rs2 C. r4 s 2

2 D. 4r4 ( 2 s)

Revised Jul 10 12. Zack is trying to place 13 on the number 14. Ana tried to use the Pythagorean Theorem line. Which graph below shows the correct with the following triangle whose sides placement of this number? measure are 2, 3, and 4.

A. 13 Why didn’t this work? 2 4 6 8 10 00 A. Didn’t work because the triangle is B. 13 not obtuse 2 4 6 8 10 B. Didn’t work because 2+ 3 4 00 C. 13 C. Didn’t work because the triangle is not a 2 4 6 8 10 right triangle 00 D. Didn’t work because it’s not an D. 13 isosceles triangle 2 4 6 8 10 00

13. c a

b a Sidney kept thinkinga the Pythagorean 15. Find the missing side for a. Theorem was 2a+a 2 b = 2 c , but her answers never matched up. What is the correct 10 a aaa formula for the Pythagorean Theorem? a aaa a 8 A. a+ b = c a B. a2+ b 2 = c 2 a a A. 6 2 2 C. a+ b = c a B. 4 a D. a+ b = c2 a C. 3 a D. 2 a a a a a a a Revised Jul 10 a a a a a a a a a a b a a a a a a a a a a a a a a a a a a a a a a a a a a a a a C. -7 a D. -15 19. A car rents for $50 each day plus $0.10 per 16. Mall freeway mile. If the total cost for a one day rental is $110, how far have you traveled? 3 N 5 Home W E A. 300 miles

S B. 400 miles C. 500 miles The mall is 5 miles NE (North East) of Shane’s home. To travel to the mall, D. 600 miles Shane’s mom must follow the streets and freeway as shown on the map above. If his mom travels 3 miles due north from his home, how many miles due east must they travel on the freeway to reach the mall? 20. What value of x makes the equation A. 2 miles true?

B. 3.5 miles x 16+ = - 11 C. 4 miles 2 D. 8 miles A. -54 B. 54 5 17. Each set of numbers below represents the C. side measures of a triangle. Which one of the 2 following is a right triangle? 5 D. - 2 A. 5, 12, and 13 B. 5, 12, and 17 C. 5, 12, and 34 D. 5, 12, and 169 21. What value of x makes the equation true?

18= 3(x - 7)

A. 13 18. Name the constant in the expression 7 B. 3 -8x - 7 C. 6 A. -8 D. -1 B. x

Revised Jul 10 A. x � 16 B. x � 8 22. What value of x makes the equation true? 15x- 26 = 7 x + 22 C. x � 8 D. x � 16 24 A. 25. What is the common denominator of this 11 expression? 24 3 7 B. - + = 11 4 9 C. 6 A. 6 D. -6 B. 36 C. 12 23. Which of the following is the graph of the D. 18 x solution of the inequality -17 > - 19 3

A. 26. What is the solution set to the inequality -6c + 12 8 ?

-8 -6 -4 -2 0 2 4 6 8 2 A. c 3 B. 2 B. c 3 -8 -6 -4 -2 0 2 4 6 8 10 C. c � 3 C. 10 D. c 3 -8 -6 -4 -2 0 2 4 6 8

D. 27. Paul works for 5 hours and makes $50. At -8 -6 -4 -2 0 2 4 6 8 that rate, how long would he have to work to earn $600?

A. 10 hours B. 30 hours C. 60 hours 24. Solve the inequality: D. 100 hours

-4(x + 8) 32

Revised Jul 10 C. 200- 25w = 600 D. 200+ 25w = 600

28. The temperature is 77˚F. Find the 32. What is -6 written in standard temperature in Celsius using the formula 64.93 10 9 form? F= C + 32 , 5 A. 6,493,000,000 A. 21˚C B. 64,930,000 B. 25˚C C. 0.006493 C. 109˚C D. 0.00006493

D. 81˚C

33. Which of the following is the graph of the 29. You plan a 315 mile road trip for your solution of the inequality -8x - 2 54 ? vacation. You estimate you will average 70 mph. Find out how long the trip will take. Solve the distance formula d= rt for t A. A. 22,050 hours -7 B. 4 hours C. 4.5 hours B. D. 5.5 hours -7

30. If x=4 and y = - 6 , what is the value of C. 5x2 - y ? -7 A. -74 B. -86 D. C. 74 -7 D. 86

1 4 34. (m -9) = 31. Carla has $600 in her savings account. Each 3 9 week she withdraws $25. In how many weeks What is the first step to solve this equation? will she have $200? Which equation would you use to solve this problem? 1 A. Distribute . 3 A. 600+ 25w = 200 B. Add 9 to each side. B. 600- 25w = 200

Revised Jul 10 1 A. 9m C. Subtract from each side. 3 B. 19m 4 D. Subtract from each side. C. 353m 9 D. 15m

35. What value of x makes this equation true?

3 x -4 = 17 7

36. Which expression is equivalent to:

m9 n 3 m2 n 10

A. m11 n 13 B. m-7 n 7 C. m7 n- 7 D. m6 n- 8

37. The figure shows a ramp used for skateboarding. What horizontal distance h does the ramp cover?

17m 8m

Revised Jul 10