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: -6 and -15? 90

2. Add: 4 and 8? 12

3. Divide: 1 and -1? -1

4. Substract: 13 and 19? -6

5. Calculate: |-7 · 12 + -1 · 8| 92

6. Simplify the following expressions:

-8 + 6x + -14x -8-8x
-18 + 1y – -9x + -16y -18+9x-15y
19x – -5z + 20z – -20x + 3y 39x+3y+25z
y^-14 × x^-19 × x¹⁴ x^-5 × y^-14
x¹⁸
x^-10
x²⁸
(5x⁴)⁶ 15625x²⁴

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

5 × ( x + 4 + 6 ) = 5×x + 5×4 + 5×6
4 × 1 = 4
( 3 + 7 ) + 2 = 3 + ( 7 + 2 )
a + b = b + a

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

m + ( n + 0 ) = ( m + n ) + 0
0 + -65 = -65
1 × (o + p + q) = o + p + q

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

9. Solve the following equations for x:

-45 – x = 14 x = -59
-
1
4
x =
30
8
x = -15
-100 = -66 – 34x x = 1
-e = dx x = -e/d

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

-39x – -14 > -25 x < 1

x ≠ -724
28 ≥ x > 45

39
13
x < -
27
3
x < -3

11. Convert the following numbers into scientific notation:

0.00000112 1.12 × 10^-6
52600000000 5.26 × 10¹⁰

12. Add the following polynomials:

-4z⁸ + -1z¹ and -11z⁸ + 9z² + 7z¹ + -5

-15z⁸ + 9z² + 6z¹ + -5
-15z¹⁵ + 14z¹¹ + 14z⁷ + -11 and -5z¹⁵ + 7z¹¹ + 4z⁷ + -2 -20z¹⁵ + 21z¹¹ + 18z⁷ + -13

13. Multiply the following polynomials and simplify:

(9x⁴ + 4x² + 10x)(1x³ + 10x² - 4)

9x⁷ + 90x⁶ + 4x⁵ + 14x⁴ + 100x³ - 16x² - 40x
(4x - 5)(6x⁵ + x⁴)

24x⁶ - 26x⁵ - 5x⁴

14. Divide:

20x² - 90x + 100 / 4x - 10
5x - 10

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

15, 72, 63
3
84x⁸y⁹, 36x²y⁴
12x²y⁴

16. Factor the following polynomials:

63x⁴ - 78x³ + 15x²
63x²(x - 1)(x -
5
21
)
x² - 7x - 8
(x - 8)(x + 1)
x⁵ + 21x⁴ + 110x³
x³(x + 11)(x + 10)

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

x =
8
and

-1
x =
0
,
-11

and
-10

18. You are seating 7 people on 7 chairs. How many different ways can those people sit?

5040

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

30, 35, 11, 16, 7, 33, 12, 38

20. Suppose you toss a coin and spin a spinner numbered 1 through 11

What is the probability of getting heads and 1?

4.55%

What is the probability of getting tails and an even number?

22.73%

What is the probability of getting tails and a multiple of 3?

13.64%

What is the probability of getting heads and a prime number?

22.73%

What is the probability of not tails and not 6?

45.45%

What is the probability of getting not tails and not a whole number?

0%

What is the probability of heads or tails and a whole number?

100%

What is the probability of getting heads?

50%

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

x + y = 1
x - y = -2

A(-0.5,1.5)

2x - 5y = 8
4x + 4y = 16

B(4,0)

22. Write the following fractions in simplest form:

18x⁵y⁸
54x⁶y⁵

y³
3x

(x² + 14x + 49)
(x + 7)

x + 7

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

x² + 12x = 45
x₁ = -15, x₂ = 3

24. Convert the following repeating decimal into a fraction:

x = 0.226
2240
9900

25. Solve the following equation:

-20 +
4x + 1
= 9
x = 210

26. Rationalize the denominator of each fraction below:

25
21
+ 10

-
25
21
- 250
79

27. Use a trigonometric ratio to find x:

x = 18.48 cm

28. The sum of two consecutive odd integers is 56. What are the integers? (Hint: use 2x+1 as the first odd integer)

a=27, b=29

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

I am
13
blocks from my house.

30. A rectangle has a length 3 ft greater than its width. The area of the rectangle is 238ft². What are the length and width of the rectangle?

width = 14, length = 17

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