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:   4 and 15? 60
    
2.   Add:   -14 and -7? -21
    
3.   Divide:   11 and 1? 11
    
4.   Substract:   -13 and -20? 7
    
5.   Calculate: |17 · -8 + -6 · 8| 184
    
6.   Simplify the following expressions:
  • -12x – 4x – 20x -36x
        
  • 4y + 10y + 5y – 16x -16x+19y
        
  • -10 + -13y + 3y + -7 + 8x -17+8x-10y
        
  • x14 × x9 x23
        
  • x19
    x5
    x14
        
  • (4x)10 1048576x10
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) × z = x × ( y × z )
  • 3 + 8j + 9
  • ( x × y ) + 6 = 6 + ( y × x )
  • -3 × ( z + 3 + 2 ) = -3×z + -3×3 + -3×2
A
    
8.   Which properties are illustrated by the following three expressions?
  • (v + 13) × 1 = v + 13
  • 81 + 16 = 81 + 16
  • ( o + 0 ) + n = o + ( 0 + n )
  • Associative property of addition, Commutative property of addition and Distributive property
  • Identity property of multiplication, Commutative property of addition and Associative property of addition
  • Associative property of addition, Identity property of multiplication and Distributive property
  • Commutative property of addition, Distributive property and Identity property of multiplication
B
    
9.   Solve the following equations for x:
  • 82 = x + 11 x = 71
        
  • 6
    16
    =
    1
    16
    x x = 6
        
  • -77x – -90 = -64 x = 2
        
  • a = -fx x = -a/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 4x + 12 > 16 x > 1
        
  • x ≠ 573
  • -17 ≤ x ≤ -98
  • -
    26
    13
    x ≤ -
    4
    2
    x ≥ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000561 5.61 × 10-9
        
  • 63400000000 6.34 × 1010
        
12.   Add the following polynomials:
  • -13z1 + -9  and  -6z1 + 2
    -19z1 + -7
        
  • 4z14 + 15z11 + 7z8 + 10z6  and  5z14 + 12z8 + -4z6 9z14 + 15z11 + 19z8 + 6z6
        
13.   Multiply the following polynomials and simplify:
  • (1x5 + 7x2)(7x3 + 3x2 + 5)
    7x8 + 3x7 + 54x5 + 21x4 + 35x2
        
  • (5x4 + 4x2)(10x5 + 3x2 + x)
    50x9 + 40x7 + 15x6 + 5x5 + 12x4 + 4x3
        
14.   Divide:
  • 3x2 - 24x - 27 / 3x + 3
    x - 9
        
15.   Find the greatest common factor of the following terms:
  • 63, 35, 33
    1
        
  • 66x7y10, 24xy3, 70y
    2y
        
16.   Factor the following polynomials:
  • 33x3 - 95x2 - 12x
    33x(x - 3)(x +
    4
    33
    )
        
  • x2 + 14x + 45
    (x + 9)(x + 5)
        
  • x8 - 23x7 + 126x6
    x6(x - 14)(x - 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -9
    and
    -5


        
  • x =
    0
    ,
    14

    and
    9
        
18.   You have 5 books to read. How many different ways can you read your books?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 28, 10, 35, 9, 15, 27, 5, 39, 13, 24
        
20.   A bag contains 5 blue balls, 2 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?
    22.22%
        
  • A blue ball or red ball?
    77.78%
        
  • Two red balls?
    2.78%
        
  • A blue ball and a white ball?
    13.89%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -3
    x - y = 17
    A(7,-10)
        
  • 11x - 6y = -18
    13x + y = 3

    B(0,3)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x5(x - 8)
    x6 - 15x5 + 56x4
    x
    (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.
  • x = x2 - 2
    x1 = -1,   x2 = 2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.9
    9
    9
        
25.   Solve the following equation:
  • -
    12
    x
    = -15
    x =
    144
    225
        
26.   Rationalize the denominator of each fraction below:
  • 2
    15 +
    15
    15 -
    15
    105
        
27.   Use a trigonometric ratio to find x:
x = 35.36 cm
    
28.   The sum of two consecutive odd integers is 28. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=13, b=15
    
29.   After you leave your house, you walk 12 blocks east and 5 blocks south. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   The length of a rectangle is 6 less than 6 times the width. What are the dimensions of the rectangle if the area is 180m2?
  • width = 6,  length = 30
        


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:   10 and 9? 90
    
2.   Add:   15 and -12? 3
    
3.   Divide:   -2 and -1? 2
    
4.   Substract:   -4 and 6? -10
    
5.   Calculate: |17 + 4 · -12| 31
    
6.   Simplify the following expressions:
  • -4x – 12 + 4x -12
        
  • 6x + -2y + 14y + 8x 14x+12y
        
  • -20y – -7 – -4x + 1y + 7y + -5y 7+4x-17y
        
  • x14 × y-8 × y14 x14 × y6
        
  • x3
    x-20
    x23
        
  • (4x3)3 64x9
        
7.   Which of the following expressions show the associative property?
  • ( -7 + 2 ) × 3 = 3 × ( -7 + 2 )
  • i × ( j + 6 ) = ij + 6j
  • 1( 9 + 3 ) = 1×9 + 1×3
  • ( 5 × 7 ) × 4 = 5 × ( 7 × 4 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • k × ( l × 1 ) = ( k × l ) × 1
  • v + 3 + 0 = v + 3
  • y × ( -12 + 3 ) = y × -12 + y × 3
  • Distributive property, Commutative property of addition and Associative property of addition
  • Associative property of multiplication, Identity property of addition and Distributive property
  • Identity property of multiplication, Identity property of addition and Commutative property of multiplication
  • Commutative property of addition, Distributive property and Identity property of multiplication
B
    
9.   Solve the following equations for x:
  • -78 = x + -83 x = 5
        
  • 18
    19
    = -
    9
    19
    x x = -2
        
  • -62 = -2x + 20 x = 41
        
  • -cx + f = ax x = f/(c+a)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 24 < -27 x > 3
        
  • x ≠ -706
  • 79 ≥ x ≤ 38
  • 10
    2
    x ≥ -
    40
    2
    x ≥ -4
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000908 9.08 × 10-8
        
  • 23500 2.35 × 104
        
12.   Add the following polynomials:
  • -3z6 + 4z5 + 8z4 + -2z2 + 15z1  and  10z10 + -13z8 + -9z6 + -15z5 + 7z1
    10z10 + -13z8 + -12z6 + -11z5 + 8z4 + -2z2 + 22z1
        
  • -11z15 + -5z12 + -5z11 + -1  and  -13z15 + -13z12 + -3 -24z15 + -18z12 + -5z11 + -4
        
13.   Multiply the following polynomials and simplify:
  • (1x4 + 4x2 + 8x)(3x5 + 9x4 + 3)
    3x9 + 9x8 + 12x7 + 60x6 + 72x5 + 3x4 + 12x2 + 24x
        
  • (8x5 + 3x + 3)(1x4 + 6x3 + 4x2)
    8x9 + 48x8 + 32x7 + 3x5 + 21x4 + 30x3 + 12x2
        
14.   Divide:
  • 6x2 - 20x + 6 / 2x - 6
    3x - 1
        
15.   Find the greatest common factor of the following terms:
  • 90, 12, 36
    6
        
  • 25x3y5, 54x4y3
    x3y3
        
16.   Factor the following polynomials:
  • 54x3 - 66x2 + 18x
    54x(x -
    11 +
    13
    18
    )(x -
    11 -
    13
    18
    )
        
  • x2 + 0x - 1
    (x - 1)(x + 1)
        
  • x7 + 17x6 + 30x5
    x5(x + 15)(x + 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    1
    and
    -1


        
  • x =
    0
    ,
    -15

    and
    -2
        
18.   You have 6 CDs. How many different ways can you listen to them?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 34, 16, 2, 19, 35, 11, 30
        
20.   A bag contains 4 blue balls, 5 red balls, and 4 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    30.77%
        
  • A blue ball or red ball?
    69.23%
        
  • Two red balls?
    14.79%
        
  • A blue ball and a white ball?
    9.47%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 11
    x - y = -14
    A(-1.5,12.5)
        
  • 6x - 2y = -9
    7x + 9y = 2

    B(-1.13,1.1)
        
22.   Write the following fractions in simplest form:
  • 25x6y6
    50x2y10
    x4
    2y4
        
  • (x - 4)
    (x2 - 8x + 16)
    1
    x - 4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 34x = x2 + 33
    x1 = 1,   x2 = 33
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.483
    479
    990
        
25.   Solve the following equation:
  • 2 +
    x + 6
    = 7
    x = 19
        
26.   Rationalize the denominator of each fraction below:
  • 6
    21
    4
    2
    3
    42
    4
        
27.   Use a trigonometric ratio to find x:
x = 22.00 cm
    
28.   The sum of two consecutive odd integers is 28. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=13, b=15
    
29.   After you leave your house, you walk 12 blocks east and 9 blocks south. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has an area of 322m2. Its width is 9 m less than its length. What are the dimensions of the rectangle?
  • width = 14,  length = 23
        


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.