Virginia Placement Test For Mathematics Practice Questions and Answers

Piedmont Virginia Community College




Virginia Placement Test
For Mathematics
Practice Questions and Answers

,Table of Contents
Practice Problems for UNIT 1 – Operations with Positive Fractions............................................................. 1
Practice Problems for UNIT 2 – Operations with Positive Decimals and Percents ....................................... 3
Practice Problems for UNIT 3 – Algebra Basics ............................................................................................. 6
Practice Problems for UNIT 4 – First Degree Equations and Inequalities in One Variable ........................... 7
Practice Problems for UNIT 5 – Linear Equations, Inequalities, and Systems of Equations in Two
Variables ....................................................................................................................................................... 8
Practice Problems for UNIT 6 – Exponents, Factoring, and Polynomial Equations .................................... 11
Practice Problems for UNIT 7 – Rational Expressions and Equations ......................................................... 13
Practice Problems for UNIT 8 – Rational Exponents and Radicals .............................................................. 14
Practice Problems for UNIT 9 – Functions, Quadratic Equations, and Parabolas ....................................... 16
Answers to Practice Questions for UNIT 1 – Operations with Positive Fractions....................................... 20
Answers to Practice Questions for UNIT 2 – Operations with Positive Decimals and Percents ................. 21
Answers to Practice Questions for UNIT 3 – Algebra Basics ....................................................................... 22
Answers to Practice Questions for UNIT 4 – First Degree Equations and Inequalities in One Variable ..... 22
Answers to Practice Questions for UNIT 5 – Linear Equations, Inequalities, and Systems of Equations in
Two Variables .............................................................................................................................................. 23
Answers to Practice Questions for UNIT 6 – Exponents, Factoring, and Polynomial Equations ................ 25
Answers to Practice Questions for UNIT 7 – Rational Expressions and Equations ..................................... 26
Answers to Practice Questions for UNIT 8 – Rational Exponents and Radicals .......................................... 26
Answers to Practice Questions for UNIT 9 – Functions, Quadratic Equations, and Parabolas ................... 27
Link to objectives for each of the units ....................................................................................................... 28
Link to free resources for preparation for The Virginia Placement Test for mathematics......................... 28

, Practice Problems for UNIT 1 – Operations with Positive Fractions

1. If you have four quarters, three dimes, two nickels, and two pennies, what fraction of the whole coin
collection is in dimes?

7
2. Write 5 as an improper fraction.
8
29
3. Write as a mixed number.
5
4. Express 3  3  3  5  5 using exponents.
5. Find the prime factorization of 180. Express your answer in exponential form.
24
6. Write in simplest form.
90
7. Write the ratio of 14 days to 3 weeks in simplest form.
8. Write the ratio of 4 teachers to 134 students in simplest form.
9. Write the rate of 400 miles in 8 hours in simplest form.
10. Find the LCM for 8,12, and 36 .

1 1 1
11. Find the LCD for , , and .
5 4 9

12. Enter the correct symbol (, , ).
3 11
?
4 15


3 5
13. Add or subtract.
16 16


25 17
14. Add or subtract.
64 64

2
1 3
15. Add or subtract. 4
4 4


3 4
16. Add or subtract.
12 50


7 5
17. Add or subtract.
18 24

18. Add or subtract. 41  23
3
7




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