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 -20? -300
    
2.   Add:   17 and 7? 24
    
3.   Divide:   -4 and -4? 1
    
4.   Substract:   4 and -3? 7
    
5.   Calculate: |-2 · -16 + -1| 31
    
6.   Simplify the following expressions:
  • -14 + 6 – -12x -8+12x
        
  • -3y + 14y – 13x – 8 -8-13x+11y
        
  • 13y – -6z – 13x + 3z – -7 7-13x+13y+9z
        
  • x-9 × y14 × x-13 x-22 × y14
        
  • x10
    x-4
    x14
        
  • (6x2)9 10077696x18
        
7.   Which of the following expressions show the associative property?
  • 9 + 5d + 7
  • ( m + n ) + p = m + ( n + p )
  • 10 × ( z + 8 + 7 ) = 10×z + 10×8 + 10×7
  • 1( 8 + 8 ) = 1×8 + 1×8
B
    
8.   Which properties are illustrated by the following three expressions?
  • 16 × ( -7 × 8 ) = ( 16 × -7 ) × 8
  • 14 × (1 + x) = (1 + x) × 14
  • 1 × 8 = 8
  • Associative property of multiplication, Commutative property of addition and Identity property of multiplication
  • Associative property of multiplication, Commutative property of multiplication and Identity property of multiplication
  • Associative property of addition, Identity property of multiplication and Associative property of multiplication
  • Distributive property, Commutative property of multiplication and Identity property of multiplication
B
    
9.   Solve the following equations for x:
  • -41 + x = -16 x = 25
        
  • -
    10
    8
    = -
    5
    4
    x x = 1
        
  • 85 = 5x – 95 x = 36
        
  • -c = gx – b x = (-c+b)/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 36 ≤ -35 x ≥ -1
        
  • x ≠ 726
  • -4 < x ≤ 75
  • 16
    8
    x > 18 x > 9
        
11.   Convert the following numbers into scientific notation:
  • 0.00000385 3.85 × 10-6
        
  • 694000000 6.94 × 108
        
12.   Add the following polynomials:
  • 4z9 + -15z8 + -15z4 + -9z3  and  -11z9 + -9z8 + 13z4 + -12z3 + 14
    -7z9 + -24z8 + -2z4 + -21z3 + 14
        
  • 7z17 + -10z10 + -10z4 + 12z1  and  11z17 + -2z4 + -15z3 + -12z1 18z17 + -10z10 + -12z4 + -15z3
        
13.   Multiply the following polynomials and simplify:
  • (8x5 + 9)7x4
    56x9 + 63x4
        
  • (5x4 + 6x2 + 2x)(7x5 + 3x2 + 2)
    35x9 + 42x7 + 29x6 + 28x4 + 6x3 + 12x2 + 4x
        
14.   Divide:
  • 10x3 + 20x2 - 45x - 90 / 5x + 10
    2x2 - 9
        
15.   Find the greatest common factor of the following terms:
  • 44, 84, 36
    4
        
  • 36y9, 72xy10, 55x9y5
    y5
        
16.   Factor the following polynomials:
  • 44x4 - 64x3 + 23x2
    44x2(x -
    16 +
    3
    22
    )(x -
    16 -
    3
    22
    )
        
  • x2 - 11x + 18
    (x - 9)(x - 2)
        
  • x5 - 5x4 + 6x3
    x3(x - 2)(x - 3)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    9
    and
    2


        
  • x =
    0
    ,
    2

    and
    3
        
18.   You have 4 books to read. How many different ways can you read your books?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 2, 30, 1, 10, 15, 11, 26, 34
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 9
  • What is the probability of getting heads and 4?
    5.56%
        
  • What is the probability of getting heads and an odd number?
    22.22%
        
  • What is the probability of getting tails and a multiple of 2?
    22.22%
        
  • What is the probability of getting heads and a prime number?
    22.22%
        
  • What is the probability of not tails and not 7?
    44.44%
        
  • 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 = -7
    x - y = -16
    A(-11.5,4.5)
        
  • 6x - 5y = -18
    10x + 6y = -7

    B(-1.66,1.6)
        
22.   Write the following fractions in simplest form:
  • 18x6y9
    54x10y8
    y
    3x4
        
  • (x2 - 2x + 1)
    (x - 1)
    x - 1
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -5x = x2 - 6
    x1 = 1,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.4745
    4698
    9900
        
25.   Solve the following equation:
  • 12
    x
    = 2
    x = 3
        
26.   Rationalize the denominator of each fraction below:
  • 10
    35
    - 2
    10
    35
    + 20
    31
        
27.   Use a trigonometric ratio to find x:
x = 22.00 cm
    
28.   The sum of two consecutive even integers is 50. What are the integers? (Hint: use 2x as the first even integer)
a=24, b=26
    
29.   After you leave your house, you walk 5 blocks west and 12 blocks south. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   A rectangle has a width that is 10 m less than its length. The area of the rectangle is 24m2. What are the dimensions of the rectangle?
  • width = 2,  length = 12
        


To print this algebra practice test, click here.



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:   -7 and -12? 84
    
2.   Add:   13 and 10? 23
    
3.   Divide:   14 and 14? 1
    
4.   Substract:   -17 and 7? -24
    
5.   Calculate: |9 · 6 + 5 · -3| 39
    
6.   Simplify the following expressions:
  • -1 + -1 – 4x -2-4x
        
  • -12x – 13 + 11x – 11 -24-1x
        
  • -4x – -6x + -2y – 18z + -10 -10+2x-2y-18z
        
  • x-1 × y-12 × y-20 x-1 × y-32
        
  • x-14
    x-6
    x-8
        
  • (4x)3 64x3
        
7.   Which of the following expressions show the associative property?
  • 8( 3 + 5 ) = 8×3 + 8×5
  • ( m + n ) + 6 = m + ( n + 6 )
  • 4 + 10f + 2
  • ( x + y ) × 2 = 2 × ( y + x )
B
    
8.   Which properties are illustrated by the following three expressions?
  • 4 × -4 + x = x + 4 × -4
  • ( -14 + -8) × 1 = -14 × 1 + -8 × 1
  • ( i + 0 ) + h = i + ( 0 + h )
  • Identity property of multiplication, Distributive property and Commutative property of addition
  • Distributive property, Identity property of addition and Associative property of addition
  • Identity property of addition, Identity property of multiplication and Commutative property of multiplication
  • Commutative property of addition, Distributive property and Associative property of addition
D
    
9.   Solve the following equations for x:
  • 37 = -x – -20 x = -17
        
  • -
    1
    6
    =
    1
    6
    x x = -1
        
  • 68 = -123x – 55 x = -1
        
  • -f = ex x = -f/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -23x + -29 < 40 x > -3
        
  • x ≠ 984
  • -78 > x > -57
  • 21
    7
    x < -
    18
    2
    x < -3
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000187 1.87 × 10-10
        
  • 34500000000 3.45 × 1010
        
12.   Add the following polynomials:
  • 11z10 + -14z5 + -6z1 + -3  and  13z5 + -7z1 + -8z1 + -15
    11z10 + -1z5 + -21z1 + -18
        
  • -6z10 + -14z4 + -4  and  -6z20 + 9z4 + -2 -6z20 + -6z10 + -5z4 + -6
        
13.   Multiply the following polynomials and simplify:
  • (9x5 + 7x4 + 3x)(8x5 + 6x2)
    72x10 + 56x9 + 54x7 + 66x6 + 18x3
        
  • (1x3 + 7x)(6x4 + 5x3 - 9)
    6x7 + 5x6 + 42x5 + 35x4 - 9x3 - 63x
        
14.   Divide:
  • 4x2 - 18x + 31 / 2x - 8
    (2x - 1) with a remainder of 23
        
15.   Find the greatest common factor of the following terms:
  • 48, 54, 55
    1
        
  • 90x2y9, 52x2y9, 39x
    x
        
16.   Factor the following polynomials:
  • 12x3 - 6x2 - 60x
    12x(x + 2)(x -
    5
    2
    )
        
  • x2 - 6x - 7
    (x + 1)(x - 7)
        
  • x4 - 9x3 - 90x2
    x2(x + 6)(x - 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -1
    and
    7


        
  • x =
    0
    ,
    -6

    and
    15
        
18.   You have 5 CDs. How many different ways can you listen to them?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 21, 11, 36, 8, 10, 25, 14, 18, 32
        
20.   A bag contains 4 blue balls, 4 red balls, and 6 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    42.86%
        
  • A blue ball or red ball?
    57.14%
        
  • Two red balls?
    6.59%
        
  • A blue ball and a white ball?
    13.19%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 6
    x - y = 11
    A(8.5,-2.5)
        
  • 10x - 12y = 18
    2x + 3y = -18

    B(-3,-4)
        
22.   Write the following fractions in simplest form:
  • 16x5y10
    32x4y6
    xy4
    2
        
  • x(x - 4)
    x8 - 14x7 + 40x6
    1
    x5(x - 10)
        
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 + 63
    x1 = 3,   x2 = 21
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.4
    4
    9
        
25.   Solve the following equation:
  • -
    x - 10
    + 18 = 10
    x = 74
        
26.   Rationalize the denominator of each fraction below:
  • 6
    2
    - 25
    -
    6
    2
    + 150
    623
        
27.   Use a trigonometric ratio to find x:
x = 29.00 cm
    
28.   The sum of two consecutive odd integers is 24. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=11, b=13
    
29.   After you leave your house, you walk 15 blocks east and 8 blocks north. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   The sides of a square are increased by 4 m. The area of the newly created square is 49m2. What was the original length of one side of the square?
  • 3 m
        


To print this algebra practice test, click here.



Check out some of our top basic mathematics lessons.

Formula for percentage

Types of angles

Area of ​​irregular shapes

Math problem solver

Math skills assessment

Compatible numbers

Surface area of ​​a cube

Share this page:
Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.