Algebra test generator

Name _____________________ Date:_____________________

current difficulty level: Choose test difficulty: Easy Challenging
(current difficulty level: Easy)

Solve the following problems:

Important instructions

(or click here to generate a new test)

1. Multiply: -17 and -6? 102

2. Add: 8 and -18? -10

3. Divide: -11 and -1? 11

4. Substract: -1 and -3? 2

5. Calculate: |-5 + -9 · 10| 95

6. Simplify the following expressions:

-20x – -10 – 10x 10-30x
-19y – -17y – -17 + 11 28-2y
-12z + 19y + -15 – 5 – 8y -20+11y-12z
y⁸ × y^-5 y³
x^-2
x¹⁷
x^-19
(3x²)⁷ 2187x¹⁴

7. Which of the following expressions show the associative property?

9( 2 + 1 ) = 9×2 + 9×1
( m × n ) × 8 = m × ( n × 8 )
( m × n ) + 9 = 9 + ( m × n )
a + b = b + a

8. Which properties are illustrated by the following three expressions?

( o + p ) + n = o + ( p + n )
0 + w + 14 = w + 14
-7 × -13 = -7 × -13

Distributive property, Associative property of multiplication and Commutative property of addition
Associative property of addition, Identity property of addition and Commutative property of multiplication
Associative property of multiplication, Identity property of multiplication and Commutative property of addition
Commutative property of multiplication, Commutative property of addition and Associative property of multiplication

9. Solve the following equations for x:

48 = 3 · -x x = -16
-
8
12
x =
8
12
x = -1
-61 = 19x + -4 x = -3
b = ex x = b/e

10. Solve the following inequalities. Then graph a) on the number line

x + 25 ≥ 12 x ≥ -13

x ≠ 398
-79 ≥ x > -1

-
12
4
x ≤
36
2
x ≥ -6

11. Convert the following numbers into scientific notation:

0.000000741 7.41 × 10^-7
202000000 2.02 × 10⁸

12. Add the following polynomials:

6z⁸ + -9z⁴ + 8z² + -9z¹ and -10z⁸ + -10z⁴ + -14z² + -8z¹

-4z⁸ + -19z⁴ + -6z² + -17z¹
3z²⁰ + -13z¹⁷ + 4z¹⁰ and -15z²⁰ + -1z¹⁷ + -9z¹⁰ + 12z⁶ + 1z⁴ -12z²⁰ + -14z¹⁷ + -5z¹⁰ + 12z⁶ + 1z⁴

13. Multiply the following polynomials and simplify:

9(5x⁵ + x)

45x⁵ + 9x
(5x⁵ + x²)(4x⁵ + 9x⁴)

20x¹⁰ + 45x⁹ + 4x⁷ + 9x⁶

14. Divide:

2x² + 6x - 20 / x + 5
2x - 4

15. Find the greatest common factor of the following terms:

39, 60
3
60x³y¹⁰, 88x³
4x³

16. Factor the following polynomials:

8x⁴ - 100x³ - 52x²
8x²(x +
1
2
)(x - 13)
x² + 4x - 12
(x - 2)(x + 6)
x⁶ + 2x⁵ - 15x⁴
x⁴(x + 5)(x - 3)

17. For question 16, exercises b) and c), solve for x:

x =
2
and

-6
x =
0
,
-5

and
3

18. You have 5 pants, 2 shirts, and 3 shoes. How many different ways can you dress?

19. Use the following data to construct a box and whiskers plot:

30, 31, 18, 12, 4, 20, 27, 34

20. A bag contains 7 blue balls, 5 red balls, and 7 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:

A white ball?

36.84%

A blue ball or red ball?

63.16%

Two red balls?

6.93%

A blue ball and a white ball?

13.57%

21. Solve and graph the following systems of linear equations:

x + y = -4
x - y = -17

A(-10.5,6.5)

x - 6y = -13
4x + 2y = -7

B(-2.62,1.73)

22. Write the following fractions in simplest form:

12x³y⁷
3x⁵y¹⁰

4
x²y³

(x + 3)
(x + 3)⁴

1
(x + 3)³

23. Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.

-56 = x² - 18x
x₁ = 4, x₂ = 14

24. Convert the following repeating decimal into a fraction:

x = 5.187
5136
990

25. Solve the following equation:

-7
x
- 6 = -9
x
- 4
x = 1

26. Rationalize the denominator of each fraction below:

5
10
10
30

3
6

27. Use a trigonometric ratio to find x:

x = 22.00 cm

28. The sum of two consecutive even integers is 38. What are the integers? (Hint: use 2x as the first even integer)

a=18, b=20

29. After you leave your house, you walk 3 blocks east and 4 blocks south. How far are you from your house?

I am
5
blocks from my house.

30. Each side of a square is lengthened by 4 m. This makes the area of the square 169m². What is the original length of a side of the square?

To print this algebra practice test, click here.

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

Follow me on Pinterest

mathskills

Our Top Pages

Formula for percentage

Compatible numbers

Basic math test

Basic math formulas

Types of angles

Math problem solver

Algebra word problems

Surface area of a cube

Finding the average

Scale drawings

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests.

$Consumer math$

Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.

Algebra test generator

Introduction

Pre-algebra

Algebra

Geometry

Math by grades

Math tests

Math resources