Pre-Algebra FREE Sample Practice Questions

Pre-Algebra FREE Sample Practice Questions

Preparing for the Pre-Algebra test? To do your best on the Pre-Algebra test, you need to review and practice real Pre-Algebra questions.  There’s nothing like working on Math sample questions to hone your math skills and put you more at ease when taking the Pre-Algebra test. The sample math questions you’ll find here are brief samples designed to give you the insights you need to be as prepared as possible for your Pre-Algebra test.

Check out our sample Pre-Algebra practice questions to find out what areas you need to practice more before taking the Pre-Algebra test!

Start preparing for the Pre-Algebra test with our free sample practice questions. Also, make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions you need to practice.

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10 Sample Pre-Algebra Practice Questions

1- Jason needs a score of 75 average in his writing class to pass. On his first 4 exams, he earned scores of 68, 72, 85, and 90. What is the minimum score Jason can earn on his fifth and final test to pass? __________


2- Anita’s trick–or–treat bag contains 12 pieces of chocolate, 18 suckers, 18 pieces of gum, 24 pieces of licorice. If she randomly pulls a piece of candy from her bag, what is the probability of her pulling out a piece of sucker?

☐A. \(\frac{1}{3}\)

☐B. \(\frac{1}{4}\)

☐C. \(\frac{1}{6}\)

☐D. \(\frac{1}{12}\)

3- What is the perimeter of a square in centimeters that has an area of \(595.36 cm^2 \)?

☐A. 97.2

☐B. 97.6

☐C. 97.7

☐D. 97.9

4- The perimeter of a rectangular yard is 60 meters. What is its length if its width is twice its length?

☐A. 10 meters

☐B. 18 meters

☐C. 20 meters

☐D. 24 meters

5- The average of 6 numbers is 12. The average of 4 of those numbers is 10. What is the average of the other two numbers.

☐A. 10

☐B. 12

☐C. 14

☐D. 16

6- If \(40\%\) of a number is 4, what is the number?

☐A. 4

☐B. 8

☐C. 10

☐D. 12

7- The average of five numbers is 24. If a sixth number 42 is added, then, which of the following is the new average?

☐A. 25

☐B. 26

☐C. 27

☐D. 42

8- The ratio of boys and girls in a class is 4:7. If there are 44 students in the class, how many more boys should be enrolled to make the ratio 1:1?

☐A. 8

☐B. 10

☐C. 12

☐D. 14

9- What is the slope of the line: \(4x-2y=6\) __________


10- A football team had $20,000 to spend on supplies. The team spent $14,000 on new balls. New sport shoes cost $120 each. Which of the following inequalities represent the number of new shoes the team can purchase.

☐A. \(120x+14,000 ≤ 20,000\)

☐B. \(20x+14,000 ≥ 20,000\)

☐C. \(14,000x+120 ≤ 20,000\)

☐D. \(14,000x+12,0 ≥ 20,000\)

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Answers:

1- 60
Jason needs a score 75 average to pass for five exams. Therefore, the sum of 5 exams must be at lease \(5 \times 75 = 375\)
The sum of 4 exams is:
\(68 + 72 + 85 + 90 = 315\).
The minimum score Jason can earn on his fifth and final test to pass is:
\(375 – 315 = 60\)

2- B
Probability \(= \frac{number \space of \space desired \space outcomes}{number \space of \space total \space outcomes} = \frac{18}{12+18+18+24} = \frac{18}{72} = \frac{1}{4}\)

3- B
The area of the square is 595.36. Therefore, the side of the square is square root of the area.
\(\sqrt{595.36}=24.4\)
Four times the side of the square is the perimeter:\(4 \times 24.4 = 97.6\)

4- A
The width of the rectangle is twice its length. Let \(x\) be the length. Then, width \(=2x\)
Perimeter of the rectangle is (2 (width + length) \(= 2(2x+x)=60 {\Rightarrow} 6x=60 {\Rightarrow} x=10\)
Length of the rectangle is 10 meters.

5- D
average \(= \frac{sum \space of \space terms}{number \space of \space terms} {\Rightarrow} (average \space of \space 6 \space numbers) \space 12 = \frac{sum \space of \space terms}{6} ⇒\) sum of 6 numbers is
\(12 {\times} 6 = 72\)
(average of 4 numbers) 10 \(= \frac{sum \space of \space terms}{4}{\Rightarrow}\) sum of 4 numbers is \(10 {\times} 4 = 40\)
sum of 6 numbers \(-\) sum of 4 numbers = sum of 2 numbers
\(72 – 40 = 32\)
average of 2 numbers \(= \frac{32}{2} = 16 \)

6- C
Let \(x\) be the number. Write the equation and solve for \(x\).
\(40\%\) of \(x=4{\Rightarrow} 0.40 x=4 {\Rightarrow} x=4 {\div}0.40=10\)

7- C
First, find the sum of five numbers.
average \(=\frac{ sum \space of \space terms }{ number \space of \space terms } ⇒ 24 = \frac{ sum \space of \space 5 \space numbers }{5}
⇒\) sum of 5 numbers \(= 24 × 5 = 120\)
The sum of 5 numbers is 120. If a sixth number that is 42 is added to these numbers, then the sum of 6 numbers is 162.
\(120 + 42 = 162\)
average \(=\frac{ sum \space of \space terms }{ number \space of \space terms } = \frac{162}{6}=27\)

8- C
The ratio of boy to girls is 4:7.
Therefore, there are 4 boys out of 11 students.
To find the answer, first divide the total number of students by 11, then multiply the result by 4.
\(44 {\div} 11 = 4 {\Rightarrow} 4 {\times} 4 = 16\)
There are 16 boys and \(28 (44 – 16)\) girls. So, 12 more boys should be enrolled to make the ratio 1:1

9- 2
Solve for \(y\).
\(4x-2y=6 {\Rightarrow} -2y=6-4x {\Rightarrow} y=2x-3\)
The slope of the line is 2.

10- A
Let \(x\) be the number of new shoes the team can purchase. Therefore, the team can purchase \(120 x\).
The team had $20,000 and spent $14000. Now the team can spend on new shoes $6000 at most.
Now, write the inequality:
\(120x+14,000 {\leq}20,000\)

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