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:   1 and 16? 16
    
2.   Add:   -9 and 18? 9
    
3.   Divide:   -4 and -2? 2
    
4.   Substract:   -18 and -4? -14
    
5.   Calculate: |-13 · 15 + 1 · -7| 202
    
6.   Simplify the following expressions:
  • -10x + 15x – 8 -8+5x
        
  • 14x – -14x – 11x + -4x 13x
        
  • -4y – -6y + -7y + 11y – 20z 6y-20z
        
  • x-12 × y16 × y-19 × y-13 x-12 × y-16
        
  • x13
    x-18
    x31
        
  • (2x5)2 4x10
        
7.   Which of the following expressions show the associative property?
  • ( -6 + 10 ) × -2 = -2 × ( -6 + 10 )
  • ( 3 + 9 ) + 6 = 3 + ( 9 + 6 )
  • r × ( s + 5 ) = rs + 5s
  • 6( 4 + 4 ) = 6×4 + 6×4
B
    
8.   Which properties are illustrated by the following three expressions?
  • (2 + z) × 8 = 8 × (2 + z)
  • 1 × (u + v) = u + v
  • 16 + 15 × -5 = 15 × -5 + 16
  • Identity property of addition, Identity property of multiplication and Associative property of multiplication
  • Associative property of multiplication, Identity property of multiplication and Associative property of addition
  • Commutative property of multiplication, Identity property of multiplication and Commutative property of addition
  • Distributive property, Associative property of addition and Identity property of multiplication
C
    
9.   Solve the following equations for x:
  • -52 = -6 + -x x = 46
        
  • 16
    7
    = -
    8
    7
    x x = -2
        
  • -75 = 74 + 149x x = -1
        
  • fx = -cx – g x = (-g)/(f+c)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 11x – -20 > 31 x > 1
        
  • x ≠ 277
  • 16 ≤ x < 85
  • 33
    11
    x ≤
    30
    10
    x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.000845 8.45 × 10-4
        
  • 48600 4.86 × 104
        
12.   Add the following polynomials:
  • 15z7 + -6z6 + -9z2 + -8z2 + 10  and  -2z10 + -11z7 + -12z4 + 12z2 + 7z1
    -2z10 + 4z7 + -6z6 + -12z4 + -5z2 + 7z1 + 10
        
  • -15z20 + -14z18 + 7z11 + -13  and  11z11 + 10z8 + 6z6 + 11 -15z20 + -14z18 + 18z11 + 10z8 + 6z6 + -2
        
13.   Multiply the following polynomials and simplify:
  • (4x + 10)(1x3 + 9)
    4x4 + 10x3 + 36x + 90
        
  • (6x2 + 4x - 6)(7x4 - 9)
    42x6 + 28x5 - 42x4 - 54x2 - 36x + 54
        
14.   Divide:
  • 2x3 - 3x2 - 10x + 15 / 2x - 3
    x2 - 5
        
15.   Find the greatest common factor of the following terms:
  • 42, 90
    6
        
  • 18x5y9, 54x6y10
    18x5y9
        
16.   Factor the following polynomials:
  • x4 + 27x3 + 72x2
    x2(x + 3)(x + 24)
        
  • x2 + 18x + 80
    (x + 10)(x + 8)
        
  • x7 - 21x6 + 98x5
    x5(x - 14)(x - 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -10
    and
    -8


        
  • x =
    0
    ,
    14

    and
    7
        
18.   How many ways can 6 people wait in line?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 1, 25, 38, 35, 18, 39, 13, 11
        
20.   A bag contains 7 blue balls, 3 red balls, and 7 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    41.18%
        
  • A blue ball or red ball?
    58.82%
        
  • Two red balls?
    3.11%
        
  • A blue ball and a white ball?
    16.96%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 1
    x - y = -18
    A(-8.5,9.5)
        
  • 2x - 8y = 18
    6x + 10y = 10

    B(3.82,-1.29)
        
22.   Write the following fractions in simplest form:
  • 20x4y4
    60x7y4
    1
    3x3
        
  • x8 + 7x7 - 30x6
    x5(x + 10)
    x(x - 3)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 37x = 78
    x1 = 39,   x2 = -2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.2759
    2732
    9900
        
25.   Solve the following equation:
  • 14
    x
    = 5
    x =
    196
    25
        
26.   Rationalize the denominator of each fraction below:
  • 4
    28
    15
    12
    4
    21
    45
        
27.   Use a trigonometric ratio to find x:
x = 35.36 cm
    
28.   The sum of two consecutive even integers is 14. What are the integers? (Hint: use 2x as the first even integer)
a=6, b=8
    
29.   After you leave your house, you walk 8 blocks east and 15 blocks south. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   Each side of a square is decreased by 9 m. The area of the newly created square is 121m2. What was the original length of one side of the square?
  • 20 m
        


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:   8 and 12? 96
    
2.   Add:   -8 and 15? 7
    
3.   Divide:   19 and -19? -1
    
4.   Substract:   -11 and -18? 7
    
5.   Calculate: |9 + -11 · -1| 20
    
6.   Simplify the following expressions:
  • -9x + -15x + -18x -42x
        
  • 11x + 15x – -3y – 15 -15+26x+3y
        
  • -12y – 13 – -7y – -14y – -2 + -18 -29+9y
        
  • x2 × y10 x2 × y10
        
  • x11
    x-15
    x26
        
  • (2x5)5 32x25
        
7.   Which of the following expressions show the associative property?
  • 0 + -6x = -6x
  • a + b = b + a
  • ( 7 + 2 ) + 8 = 7 + ( 2 + 8 )
  • p × ( q + 4 ) = pq + 4q
C
    
8.   Which properties are illustrated by the following three expressions?
  • 9 × -11 = 9 × -11
  • k + ( l + 0 ) = ( k + l ) + 0
  • ( 6 + 11 ) × x = 6 × x + 11 × x
  • Distributive property, Identity property of multiplication and Commutative property of addition
  • Commutative property of multiplication, Associative property of addition and Distributive property
  • Identity property of addition, Distributive property and Associative property of multiplication
  • Associative property of addition, Commutative property of multiplication and Identity property of multiplication
B
    
9.   Solve the following equations for x:
  • -x · -2 = -32 x = -16
        
  • -
    16
    6
    = -
    4
    6
    x x = 4
        
  • 57 – 92x = -35 x = 1
        
  • ax + d = gx x = (-d)/(a-g)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -2x + 22 ≥ -26 x ≤ 24
        
  • x ≠ 88
  • -7 ≥ x ≥ 16
  • -
    40
    2
    x ≥ 20 x ≤ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.000984 9.84 × 10-4
        
  • 981000000000 9.81 × 1011
        
12.   Add the following polynomials:
  • -10z9 + -10z1  and  -2z9 + 8z3 + 11z2 + 10z1
    -12z9 + 8z3 + 11z2
        
  • -15z17 + -1z15 + -5z12 + -9z7 + 7z4  and  6z19 + 12z17 + -1z12 + -15z7 + 7z4 6z19 + -3z17 + -1z15 + -6z12 + -24z7 + 14z4
        
13.   Multiply the following polynomials and simplify:
  • (10x5 + 4x2 + 10x)(7x4 + 7x - 3)
    70x9 + 98x6 + 40x5 + 28x3 + 58x2 - 30x
        
  • (9x4 + 5x3 + 10)(5x3 + 7)
    45x7 + 25x6 + 63x4 + 85x3 + 70
        
14.   Divide:
  • 9x2 + 18x - 16 / 3x - 2
    3x + 8
        
15.   Find the greatest common factor of the following terms:
  • 60, 90, 11
    1
        
  • 96x5y5, 36xy9, 65x6y8
    xy5
        
16.   Factor the following polynomials:
  • 56x4 + 0x3 - 14x2
    56x2(x +
    1
    2
    )(x -
    1
    2
    )
        
  • x2 - 14x + 40
    (x - 10)(x - 4)
        
  • x8 + 18x7 + 45x6
    x6(x + 15)(x + 3)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    10
    and
    4


        
  • x =
    0
    ,
    -15

    and
    -3
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one or two scoops. Flavors can be chocolate or vanilla. How many choices do you have?
  • 8
        
19.   Use the following data to construct a box and whiskers plot:
  • 8, 26, 15, 24, 2, 29, 11, 7, 5, 23
        
20.   A bag contains 5 blue balls, 2 red balls, and 5 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    41.67%
        
  • A blue ball or red ball?
    58.33%
        
  • Two red balls?
    1.52%
        
  • A blue ball and a white ball?
    18.94%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 7
    x - y = -10
    A(-1.5,8.5)
        
  • 3x - 8y = -1
    4x + 3y = -20

    B(-3.98,-1.37)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 + 14x + 49)
    (x + 7)
    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.
  • x2 + x = 12
    x1 = 3,   x2 = -4
        
24.   Convert the following repeating decimal into a fraction:
  • x = 9.131
    9040
    990
        
25.   Solve the following equation:
  • -16 +
    5x - 6
    = 1
    x = 59
        
26.   Rationalize the denominator of each fraction below:
  • 7
    21 -
    6
    147 + 7
    6
    435
        
27.   Use a trigonometric ratio to find x:
x = 21.00 cm
    
28.   The sum of two consecutive even integers is 62. What are the integers? (Hint: use 2x as the first even integer)
a=30, b=32
    
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 an area of 20m2. Its width is 8 m less than its length. What are the dimensions of the rectangle?
  • width = 2,  length = 10
        


To print this algebra practice test, click here.



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.