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Review Test

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INSTRUCTIONS: For each of the following questions, select the correct answer and record it on a scrap piece of paper. After you have finished the entire review test, check your answers using the answer key following this test.

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

   a.     54x7y3x

   b.      54x7y3

   c.      18x7y3

   d.      54x6y4

2. Evaluate the following expression: (6y²z⁵ ÷ 2xyz²)²

   a.    9x–2y2z6

   b. 6x–2y2z6

   c.    9x2y2z6

   d.    9xy2z5

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

   a.    5 + 7p2k2

   b.    5a4k2 + 7p2k2

   c.    5a2k + 7kp

   d.    5a2k + 2kp + 5pk

4. Use the order of operations to evaluate the following expression:
   2[(14 ÷ 2)² ÷ 7 + 3]

   a.    31

   b.    40

   c.    17

   d.    20

5. Use the order of operations to evaluate the following expression:
   abx^–1[(2a²b² ÷ ab³ • 2x² + x²]

   a.    24a4b4x

   b. 16 a4b4x + abx

   c.    16 a6b6x + x2

   d.    24a5b5

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

   a.    28

   b.    7

   c.    –28

   d.    –7

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

   a.    5

   b.    –5

   c.    –10/3

   d.    15

8. Solve for y: 2xy + x² + y = 3x² + xy

   a.    2x2 – x

   b.    x2 – x/2

   c. 2x2/(x + 1)

   d.    3x2 – x

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

   a.    –5y + 1/4y2

   b.    5y – 1/2y2

   c. y – 1/4y2

   d. –y + 1/4y2

10. Solve the following system of equations using any technique.
    –x + 3y = 6
    2x – y = 8

    a.    x = –6, y = 4

    b.    x = 6, y = 4

    c.    x = 4, y = 6

    d.    x = 6, y = 8

11. Solve the following system of equations using any technique.
    y = 3x + 5
    2x + 3y – y – 1 = 2y + 3

    a.    x = 3, y = 2

    b.    x = 2, y = 20

    c.    x = –2, y = 11

    d.    x = 2, y = 11

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