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 sports 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 of 75 on average to pass five exams. Therefore, the sum of 5 exams must be at least \(5 \times 75 = 375\)
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 the square root of the area.
\(\sqrt{595.36}=24.4\)
Four times the size 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) \(= 2(2x+x)=60 {\Rightarrow} 6x=60 {\Rightarrow} x=10\)
The 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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