Time
02 : 30 : 00

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:   14 and -3? -42
    
2.   Add:   2 and -12? -10
    
3.   Divide:   -2 and -2? 1
    
4.   Substract:   16 and 6? 10
    
5.   Calculate: |-17 + 7 · 17| 102
    
6.   Simplify the following expressions:
  • 10 – 17 + 1x -7+1x
        
  • -20 + -11x – -4x – -19x -20+12x
        
  • 15 – -2x + 9y + 13 – -9y 28+2x+18y
        
  • x1 × x2 × x-6 x-3
        
  • x19
    x7
    x12
        
  • (2x)6 64x6
        
7.   Which of the following expressions show the associative property?
  • -3 × ( x + 6 + 8 ) = -3×x + -3×6 + -3×8
  • 2 + 6c + 5
  • -8 × 1 = -8
  • ( 3 + 7 ) + 6 = 3 + ( 7 + 6 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • x × ( y + 1 ) = x × y + x × 1
  • (y + 3) × (z + 8) = (z + 8) × (y + 3)
  • ( t + 0 ) + s = t + ( 0 + s )
  • Identity property of addition, Commutative property of addition and Associative property of addition
  • Distributive property, Commutative property of multiplication and Associative property of addition
  • Associative property of multiplication, Identity property of multiplication and Commutative property of addition
  • Commutative property of addition, Associative property of multiplication and Commutative property of multiplication
B
    
9.   Solve the following equations for x:
  • -52 = -76 – -x x = 24
        
  • 15
    17
    = -
    5
    17
    x x = -3
        
  • -40 = 54 + -47x x = 2
        
  • ax = b x = b/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -9x + -35 < 10 x > -5
        
  • x ≠ -818
  • -38 > x ≤ 56
  • -
    38
    19
    x > -
    24
    2
    x < 6
        
11.   Convert the following numbers into scientific notation:
  • 0.0000130 1.3 × 10-5
        
  • 472000000000 4.72 × 1011
        
12.   Add the following polynomials:
  • -2z8 + -2z7 + 11  and  2z8 + 12z4
    -2z7 + 12z4 + 11
        
  • 10z15 + 15z5 + -8z1  and  5z15 + -5z13 + -15z4 15z15 + -5z13 + 15z5 + -15z4 + -8z1
        
13.   Multiply the following polynomials and simplify:
  • -6(4x4 + 7x3 + 3x)
    -24x4 - 42x3 - 18x
        
  • (2x3 + 5x - 9)(2x2 + 9x)
    4x5 + 18x4 + 10x3 + 27x2 - 81x
        
14.   Divide:
  • 25x3 + 20x2 - 10x - 8 / 5x + 4
    5x2 - 2
        
15.   Find the greatest common factor of the following terms:
  • 39, 99, 66
    3
        
  • 55x9y3, 100x9y7
    5x9y3
        
16.   Factor the following polynomials:
  • 21x4 + 70x3 - 91x2
    21x2(x +
    13
    3
    )(x - 1)
        
  • x2 + 16x + 63
    (x + 9)(x + 7)
        
  • x7 + 21x6 + 90x5
    x5(x + 6)(x + 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -9
    and
    -7


        
  • x =
    0
    ,
    -6

    and
    -15
        
18.   You have 4 pants, 5 shirts, and 4 shoes. How many different ways can you dress?
  • 80
        
19.   Use the following data to construct a box and whiskers plot:
  • 17, 16, 3, 1, 24, 5, 9, 12
        
20.   A bag contains 3 blue balls, 5 red balls, and 2 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    20.00%
        
  • A blue ball or red ball?
    80.00%
        
  • Two red balls?
    22.22%
        
  • A blue ball and a white ball?
    6.67%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 16
    x - y = 20
    A(18,-2)
        
  • 8x - 4y = -16
    14x + 8y = 2

    B(-1,2)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 2)4
    (x - 2)2
    (x - 2)2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 99 = x2 - 30x
    x1 = 33,   x2 = -3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.258
    258
    999
        
25.   Solve the following equation:
  • 3x - 2
    + 13 = 20
    x = 17
        
26.   Rationalize the denominator of each fraction below:
  • 9
    25
    9
    5
        
27.   Use a trigonometric ratio to find x:
x = 34.00 cm
    
28.   The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
    
29.   After you leave your house, you walk 6 blocks north and 8 blocks west. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   A rectangle has a length 9 m greater than its width. The area of the rectangle is 400m2. What are the length and width of the rectangle?
  • width = 16,  length = 25
        


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





  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

Tough Algebra Word Problems.

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

K-12 math tests


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.

Math quizzes

 Recommended

Scientific Notation Quiz

Types of Angles Quiz

Graphing Slope Quiz

Adding and Subtracting Matrices Quiz  

Factoring Trinomials Quiz 

Solving Absolute Value Equations Quiz  

Order of Operations Quiz