Elementary Algebra Practice Test

This test is offered for practice only. Its results will not bear on your math placement, but may help identify topics for you to review.

Each of the following 15 multiple-choice questions has exactly one correct answer. Click your response to each question.

You may answer the questions in any order. However, once clicked, your response is recorded and scored immediately and cannot be changed.

When all 15 questions have been answered, your score will be automatically calculated and you will be given suggestions for topics to review.

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1. If x² – x – 20 = 0, then x =  
   –10 or 1
   –4 or 5
   –5 or 4
   –1 or 0
   
2. Simplify the expression: (2x² – 6x + 6) – (x² – 5) =  
   3x² – 6x + 1
   x² – 6x + 1
   x² – 6x + 11
   7x³ + 11
   
3. Factor the expression: 36x – 30 =  
   6(6x – 30)
   6(6x – 5)
   6x(6x – 5)
   6x
   
4. Evaluate: =  
   –14
   –0.15
   –7
   –3
   
5. Choose which of the following equations is equivalent to the verbal description:

   The difference of a number, x, and five more than twice the number, is 18.  

   x + (5 + 2x) = 18
   x – 5 + 2x = 18
   x – (5 + 2x) = 18
   x – 5 – 2x = 18
   
6. Evaluate:  
   
   
   
   
   
7. Simplify the expression: (–4x³y²)(8x⁴y⁶) =  
   5x⁷y⁸
   –32x¹²y¹²
   5x¹²y¹²
   –32x⁷y⁸
   
8. If 10x – 12 ≥ 12x – 10, then  
   x ≤ 1
   x ≤ –1
   x ≥ 1
   x ≥ –1
   
9. Simplify the expression: (2x + 4)(4x – 3) =  
   18x³ – 12
   8x² + 10x – 12
   6x + 1
   8x² – 12
   
10. Simplify the expression:  
    4x⁴ – 2x³ + 6
    4x³ – 2x² + 6
    4x⁴ – 2x⁴ + 6x
    –2x + 6
    
11. If 3 – (x + 4) = 6x + 13, then x =  
    –2
    1
    –6/7
    1/6
    
12. Simplify the expression for x ≠ 1:  
    x + 8
    x – 7
    x + 15
    x + 7
    
13. Evaluate: | –40 + 18 | =  
    –22
    58
    22
    –58
    
14. Simplify the expression:  
    
    
    12a⁶b⁴
    
    
15. Which of the following is a factor of the expression x² – 52x + 640 ? 
    x + 20
    x + 64
    x – 64
    x – 32
    

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Last Modified: April 22, 2011