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:   15 and 9? 135
    
2.   Add:   6 and -14? -8
    
3.   Divide:   5 and 5? 1
    
4.   Substract:   13 and 2? 11
    
5.   Calculate: |-14 + 15 · 12 + 9| 175
    
6.   Simplify the following expressions:
  • -1x – -5x – -14x 18x
        
  • 3x – 17 – 16x – -10y -17-13x+10y
        
  • -4y + 17 + 17z + 2x – 1 16+2x-4y+17z
        
  • y3 × y-15 × y-9 × y18 y-3
        
  • x-7
    x3
    x-10
        
  • (3x)8 6561x8
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × p = m × ( n × p )
  • ( 5 × -10 ) + 7 = 7 + ( 5 × -10 )
  • 5 × ( x + 4 + 3 ) = 5×x + 5×4 + 5×3
  • ( m + n ) × 9 = 9 × ( m + n )
A
    
8.   Which properties are illustrated by the following three expressions?
  • 12 + ( 7 + 19 ) = ( 12 + 7 ) + 19
  • z × ( 16 + -3 ) = z × 16 + z × -3
  • ( -16 × 3 ) × 12 = -16 × ( 3 × 12 )
  • Associative property of addition, Distributive property and Associative property of multiplication
  • Commutative property of multiplication, Associative property of addition and Commutative property of addition
  • Associative property of addition, Associative property of multiplication and Commutative property of addition
  • Identity property of addition, Associative property of multiplication and Commutative property of addition
A
    
9.   Solve the following equations for x:
  • 8 = 2 · x x = 4
        
  • 15
    20
    x =
    30
    20
    x = 2
        
  • -82 = -37 – 15x x = 3
        
  • -dx = f x = -f/d
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 2x – -21 < 19 x < -1
        
  • x ≠ 682
  • 68 ≥ x ≥ -33
  • 18
    3
    x < 12 x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000341 3.41 × 10-8
        
  • 674000 6.74 × 105
        
12.   Add the following polynomials:
  • 2z7 + -12z6 + 2z3 + 8z2 + -3  and  -9z7 + -7z6 + 7z3 + -9z2 + -11
    -7z7 + -19z6 + 9z3 + -1z2 + -14
        
  • -12z9 + -4z4 + 9z1 + 5  and  11z9 + 1z4 + 10z1 + -8 -1z9 + -3z4 + 19z1 + -3
        
13.   Multiply the following polynomials and simplify:
  • (9x5 + 6x3 + 7)(9x4 + 9x3 + 9x)
    81x9 + 81x8 + 54x7 + 135x6 + 117x4 + 63x3 + 63x
        
  • (2x5 + 4x4)(6x3 + 2x)
    12x8 + 24x7 + 4x6 + 8x5
        
14.   Divide:
  • 2x2 - 10x + 8 / 2x - 8
    x - 1
        
15.   Find the greatest common factor of the following terms:
  • 90, 65, 36
    1
        
  • 91x6y, 78x8y9
    13x6y
        
16.   Factor the following polynomials:
  • 20x4 - 50x3 + 31x2
    20x2(x -
    25 +
    5
    20
    )(x -
    25 -
    5
    20
    )
        
  • x2 + 13x + 42
    (x + 6)(x + 7)
        
  • x8 + x7 - 2x6
    x6(x - 1)(x + 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    -7


        
  • x =
    0
    ,
    1

    and
    -2
        
18.   You are seating 8 people on 8 chairs. How many different ways can those people sit?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 33, 8, 30, 5, 36, 39, 24
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 13
  • What is the probability of getting heads and 10?
    3.85%
        
  • What is the probability of getting tails and an odd number?
    23.08%
        
  • What is the probability of getting tails and a multiple of 2?
    23.08%
        
  • What is the probability of getting heads and a prime number?
    23.08%
        
  • What is the probability of not tails and not 2?
    46.15%
        
  • 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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 15
    x - y = -20
    A(-2.5,17.5)
        
  • 3x - 2y = 8
    2x + 7y = -19

    B(0.72,-2.92)
        
22.   Write the following fractions in simplest form:
  • 9xy7
    27x3y9
    1
    3x2y2
        
  • (x + 5)2
    (x + 5)6
    1
    (x + 5)4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -24x = x2 - 52
    x1 = 2,   x2 = -26
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.406
    406
    999
        
25.   Solve the following equation:
  • -6
    x
    + 7 = -4
    x
    + 5
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 3
    10
    10 +
    7
    10
    10
    -
    70
    31
        
27.   Use a trigonometric ratio to find x:
x = 24.04 cm
    
28.   The sum of two consecutive even integers is 58. What are the integers? (Hint: use 2x as the first even integer)
a=28, b=30
    
29.   After you leave your house, you walk 9 blocks west and 12 blocks south. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   The length of a rectangle is 2 more than twice its width. The area of the rectangle is 312ft2. What is the length and width of the rectangle?
  • width = 12,  length = 26
        


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