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: 2 and 17? 34

2. Add: -11 and 13? 2

3. Divide: 5 and 5? 1

4. Substract: -18 and -4? -14

5. Calculate: |15 + -9 · 15 + -14| 134

6. Simplify the following expressions:

-12x – 15 + 2 -13-12x
-5y – -20x – -7x – 14y 27x-19y
-13x – -20z + 14z – 9x + -2z -22x+32z
x^-1 × y⁸ x^-1 × y⁸
x¹⁶
x¹¹
x⁵
(10x²)³ 1000x⁶

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

( 7 × 6 ) × 5 = 7 × ( 6 × 5 )
0 + 5x = 5x
( m + n ) × 5 = 5 × ( m + n )
9x + -5 = -5 + 9x

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

9 × 1 + x = x + 9 × 1
(v + w) × x = x × (v + w)
( -18 + 1 ) + -17 = -18 + ( 1 + -17 )

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

9. Solve the following equations for x:

-2 · -x = -62 x = -31
29
20
= -
29
20
x x = -1
-11x – 49 = 72 x = -11
-ax + bx = c x = c/(-a+b)

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

7x + 26 > 5 x > -3

x ≠ 462
-65 < x < -97

-
36
18
x < -
16
2
x > 4

11. Convert the following numbers into scientific notation:

0.000826 8.26 × 10^-4
64900 6.49 × 10⁴

12. Add the following polynomials:

14z⁷ + -1z⁴ + 13z³ and 12z⁷ + 6z³ + -11z¹ + 14

26z⁷ + -1z⁴ + 19z³ + -11z¹ + 14
11z²⁰ + 12z¹⁷ + 7z¹² + -11z¹⁰ + 3z⁹ and 8z²⁰ + -1z¹⁷ + 11z⁹ + -4z³ 19z²⁰ + 11z¹⁷ + 7z¹² + -11z¹⁰ + 14z⁹ + -4z³

13. Multiply the following polynomials and simplify:

(5x⁴ + 7x²)-8

-40x⁴ - 56x²
(5x⁵ + 5x²)(1x + 8)

5x⁶ + 40x⁵ + 5x³ + 40x²

14. Divide:

3x³ + 15x² + x + 5 / x + 5
3x² + 1

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

10, 44
2
9x⁷y⁵, 60x⁸y², 11xy³
xy²

16. Factor the following polynomials:

20x⁵ - 29x⁴ + 9x³
20x³(x -
9
20
)(x - 1)
x² - 19x + 90
(x - 10)(x - 9)
x⁷ - 2x⁶ + x⁵
x⁵(x - 1)(x - 1)

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

x =
10
and

9
x =
0
,
1

and
1

18. You are seating 6 people on 6 chairs. How many different ways can those people sit?

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

6, 28, 15, 29, 20, 40, 7, 23

20. A bag contains 5 blue balls, 5 red balls, and 2 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:

A white ball?

16.67%

A blue ball or red ball?

83.33%

Two red balls?

17.36%

A blue ball and a white ball?

6.94%

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

x + y = -14
x - y = 1

A(-6.5,-7.5)

5x - 2y = 5
6x + 3y = 4

B(0.85,-0.37)

22. Write the following fractions in simplest form:

52x³y⁹
13x³y⁵

4y⁴

(x - 8)⁵
(x - 8)²

(x - 8)³

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

44 = x² + 20x
x₁ = -22, x₂ = 2

24. Convert the following repeating decimal into a fraction:

x = 0.3
3
9

25. Solve the following equation:

-5
x
+ 8 = 1
x
+ 2
x = 1

26. Rationalize the denominator of each fraction below:

6
5
- 15

-
3
5
+ 45
110

27. Use a trigonometric ratio to find x:

x = 16.74 cm

28. The sum of two consecutive odd integers is 20. What are the integers? (Hint: use 2x+1 as the first odd integer)

a=9, b=11

29. After you leave your house, you walk 12 blocks south and 5 blocks east. How far are you from your house?

I am
13
blocks from my house.

30. A rectangle has a length 9 ft greater than its width. The area of the rectangle is 52ft². What are the length and width of the rectangle?

width = 4, length = 13

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