# Review Test

INSTRUCTIONS: For each of the following questions, select the correct answer by clicking the radio button to the left of your answer. After you have finished the entire review test, click on the [Check] button at the end of the review test.

1. Evaluate the following expression: 2(3x2y)3 • x

 54x7y3x 54x7y3 18x7y3 54x6y4

2. Evaluate the following expression: (6y2z5 ÷ 2xyz2)2
 9x–2y2z6 6x–2y2z6 9x2y2z6 9xy2z5

3. Combine like terms and simplify: 12a2k + 2kp + 5pk – 7a2k
 5 + 7p2k2 5a4k2 + 7p2k2 5a2k + 7kp 5a2k + 2kp + 5pk

4. Use the order of operations to evaluate the following expression:

2[(14 ÷ 2)2 ÷ 7 + 3]

 31 40 17 20

5. Use the order of operations to evaluate the following expression:

abx–1[(2a2b2 ÷ ab)3 • 2x2 + x2]

 24a4b4x 16 a4b4x + abx 16 a6b6x + x2 24a5b5

6. Solve for b: 5(2b – 5b + 15) = –12b – 9
 28 7 –28 –7

7. Solve for x: (9x2 + 5x) ÷ x = 2(3x – 5)
 5 –5 –10/3 15

8. Solve for y: 2xy + x2 + y = 3x2 + xy
 2x2 – x x2 – x/2 2x2/(x + 1) 3x2 – x

9. Solve for x: 1/4(2x + y2) – 3(x/2 + y) = 2y
 –5y + 1/4y2 5y – 1/2y2 y – 1/4y2 –y + 1/4y2

10. Solve the following system of equations using any technique.

x + 3y = 6
2xy = 8

 x = –6, y = 4 x = 6, y = 4 x = 4, y = 6 x = 6, y = 8

11. Solve the following system of equations using any technique.

y = 3x + 5
2x + 3yy – 1 = 2y + 3

 x = 3, y = 2 x = 2, y = 20 x = –2, y = 11 x = 2, y = 11