Algebra Quarter Exam 3 Questions

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