California State University

10 Online ELM Practice Problems (free)

The following is a short, ten-question quiz to help you understand the kinds of problems on the ELM exam and also to let you see how you do on them.

  • All ten problems are presented on one page.
  • Simply scroll through the problems and select your answers.
  • After completing all 10 questions, click on the "Score Quiz" button and your results will be presented.
  • The quiz will not be scored until you have answered each of the 10 questions.

Good luck!

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1. If 4x - 5 = 18 - 7x, then x = 
 
-13/3
13/11
2
23/11
23/3


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2.
 
 
-29t
t - 6
t + 6
5t² - 6
5t² + 6


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3.  
 
-4
-2
-1
2
4


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4.
The area of the square ABCD in the figure above is 64. What is the area of the shaded triangle in AED?
 
 
16
24
28
30
32


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5.
If the average weight of the four players listed in the table above is 250 pounds, what is the weight, in pounds, of Player U?
 
 
220
230
240
250
260


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6. The ratio of the number of boys to the number of girls in an algebra class is 4 to 5. If there are 45 students in the class, how many are girls? 
 
11
20
25
36
41


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7.
In the right triangle ABC above, BC =
 
 
5 - √6
√19
√31
5 + √6
4


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8.  
 
1






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9. What is the slope of the line through the points (2,1) and (4,2)? 
 
-1/2
-1/4
1/4
1/2
2


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10.
If the area of the square shown above is 36, what is the area of the inscribed circle?
 
 
6
36


36π