Quarter Exam 3

Multiple Choice: Type your answer choice in the blank.

Factor the expression.

_____1. 16m2 – 24mn + 9n2

A. (4m – 3n)(4m + 3n)

B. (16m – 3n)(m + 3n)

C. (4m – 3n)2

D. (4m + 3n)2

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Short Answer: Type your answer below the question.

2. Write 32x5y5 with only one exponent. Use parentheses.

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Multiple Choice: Type your answer choice in the blank.

_____3. Factor by grouping.

3x2 + 7x – 6

A. (3x – 2)(x – 3)

B. (3x – 2)(x + 3)

C. (x + 3)(3x + 2)

D. (3x + 2)(x – 3)

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Short Answer: Type your answer below the question.

4. Factor the following trinomial.

w18 – 9w9y5 + 14y10

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Multiple Choice: Type your answer choice in the blank.

_____5. Simplify the expression. Write the answer using scientific notation.

8(8.8 x 1012)

A. 70.4 x 1012

B. 70.4 x 1024

C. 70.4 x 1013

D. 1.68 x 1013

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Short Answer: Type your answer below the question.

6. Order 34 x 102, 1.2 x 107, 8.11 x 10-3, and 435 from least to greatest.

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7. Factor the following expression.

198q3r2 – 184q2r2 + 18qr2

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Multiple Choice: Type your answer choice in the blank.

_____8. Simplify the expression.

(?-1?^5/?-2?^(-3) )^2

A. 1/64

B. 64

C. 2^30

D. 2^(-30)

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Short Answer: Type your answer below the question.

9. Find the next three terms of the sequence. Then write a rule for the sequence.

648, 216, 72, 24

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10. Solve the equation. Show your work.

163 = 4x

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Multiple Choice: Type your answer choice in the blank.

_____11. Solve the system using elimination.

3x + 3y = –9

3x – 3y = 21

A. (3, –6)

B. (–5, 2)

C. (3, 3)

D. (2, –5)

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_____12. Simplify the expression.

3^7/3^5

A. 335

B. 312

C. 1/3^9

D. 9

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_____13. Simplify the expression.

(k2)4

A. k6

B. 2k8

C. k16

D. k8

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_____14. Simplify the expression.

(-8.6)0

A. –1

B. 0

C. –8.6

D. 1

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Short Answer: Type your answer below the question.

15. Find a pair of factors for each number by using the difference of two squares.

a. 45

b. 77

c. 112