Time
03 : 00 : 00

Algebra test generator



Name _____________________                                        Date:_____________________


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

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   -9 and 43? -387
    
2.   Add:   62 and -53? 9
    
3.   Divide:   -92 and 23? -4
    
4.   Substract:   -8 and 82? -90
    
5.   Calculate: |-38 · -80 + 43| 3083
    
6.   Simplify the following expressions:
  • -7 – -48x – -64 57+48x
        
  • -31y – 12x + 92y – -55y -12x+116y
        
  • -93z – -49y + -60y + -72y + 73z -83y-20z
        
  • x56 × x-51 × y93 x5 × y93
        
  • x-78
    x-56
    x-22
        
  • (2x)3 8x3
        
7.   Which of the following expressions show the associative property?
  • ( m + n ) + 2 = m + ( n + 2 )
  • t × ( u + 3 ) = tu + 3u
  • 2 + 6h + 8
  • -4x + -10 = -10 + -4x
A
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (p + q) = p + q
  • 4 × ( 7 × -15 ) = ( 4 × 7 ) × -15
  • 0 + -30 = -30
  • Identity property of multiplication, Associative property of addition and Associative property of multiplication
  • Identity property of multiplication, Identity property of addition and Commutative property of multiplication
  • Identity property of multiplication, Associative property of multiplication and Identity property of addition
  • Commutative property of addition, Identity property of addition and Associative property of multiplication
C
    
9.   Solve the following equations for x:
  • 17 · x = 68 x = 4
        
  • 1
    30
    x =
    29
    30
    x = 29
        
  • -3x + 20 = 23 x = -1
        
  • -b – gx = -d x = (-b+d)/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -20x + 18 < 38 x > -1
        
  • x ≠ 778
  • 11 > x ≤ 86
  • 40
    20
    x < 4 x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000157 1.57 × 10-10
        
  • 47900000000 4.79 × 1010
        
12.   Add the following polynomials:
  • 2z9 + 19z5 + 14z4 + -10z3 + 16  and  -8z9 + 18z4 + 20
    -6z9 + 19z5 + 32z4 + -10z3 + 36
        
  • 13z20 + 18z15 + 11z5  and  -32z20 + -10z15 + -47z10 + -32z3 -19z20 + 8z15 + -47z10 + 11z5 + -32z3
        
13.   Multiply the following polynomials and simplify:
  • (3x5 + x4 + 6x3)9x4
    27x9 + 9x8 + 54x7
        
  • (2x5 + x2)(6x4 + 4x3 + 10x)
    12x9 + 8x8 + 26x6 + 4x5 + 10x3
        
14.   Divide:
  • 15x3 + 45x2 + 21x + 63 / 3x + 9
    5x2 + 7
        
15.   Find the greatest common factor of the following terms:
  • 324, 315
    9
        
  • 120x9y7, 396xy8
    12xy7
        
16.   Factor the following polynomials:
  • 10x5 + 40x4 + 30x3
    10x3(x + 3)(x + 1)
        
  • x2 - 8x + 15
    (x - 3)(x - 5)
        
  • x8 + x7 - 90x6
    x6(x + 10)(x - 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    5


        
  • x =
    0
    ,
    -10

    and
    9
        
18.   How many ways can 4 people wait in line?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 20, 9, 4, 7, 37, 1, 28, 29
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 4
  • What is the probability of getting heads and 2?
    12.50%
        
  • What is the probability of getting heads and an even number?
    25%
        
  • What is the probability of getting tails and a multiple of 2?
    25%
        
  • What is the probability of getting tails and a prime number?
    25%
        
  • What is the probability of not heads and not 2?
    37.5%
        
  • What is the probability of getting not heads 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 = -14
    x - y = 5
    A(-4.5,-9.5)
        
  • 7x - 7y = 4
    8x + 3y = -2

    B(-0.03,-0.6)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 8)5
    (x - 8)3
    (x - 8)2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -10x - 56 = -x2
    x1 = -4,   x2 = 14
        
24.   Convert the following repeating decimal into a fraction:
  • x = 5.35
    482
    90
        
25.   Solve the following equation:
  • 28
    x
    = 2
    x = 7
        
26.   Rationalize the denominator of each fraction below:
  • 35
    2
    + 35
    -
    35
    2
    - 1225
    1223
        
27.   Use a trigonometric ratio to find x:
x = 15.56 cm
    
28.   The sum of two consecutive even integers is 46. What are the integers? (Hint: use 2x as the first even integer)
a=22, b=24
    
29.   After you leave your house, you walk 3 blocks north and 4 blocks east. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   Each side of a square is decreased by 10 ft. The area of the newly created square is 49ft2. What was the original length of one side of the square?
  • 3 ft
        


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