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:   20 and -11? -220
    
2.   Add:   -8 and 1? -7
    
3.   Divide:   16 and 1? 16
    
4.   Substract:   -18 and 5? -23
    
5.   Calculate: |3 + 2 · 1 + -12| 7
    
6.   Simplify the following expressions:
  • -13x + -4x + -17x -34x
        
  • -1 – -9y – 17 + -20x -18-20x+9y
        
  • 20y – 7x + 11 + -4y – -3x 11-4x+16y
        
  • x14 × y10 × y12 × y3 x14 × y25
        
  • x10
    x15
    x-5
        
  • (9x)2 81x2
        
7.   Which of the following expressions show the associative property?
  • 6( 5 + 9 ) = 6×5 + 6×9
  • -3 × 1 = -3
  • a + b = b + a
  • ( 8 × 9 ) × 5 = 8 × ( 9 × 5 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • i + ( j + 0 ) = ( i + j ) + 0
  • 1 × 10 = 1 × 10
  • -13 + -12 × -9 = -12 × -9 + -13
  • Associative property of addition, Commutative property of multiplication and Commutative property of addition
  • Commutative property of multiplication, Distributive property and Associative property of multiplication
  • Associative property of addition, Distributive property and Commutative property of multiplication
  • Commutative property of addition, Identity property of addition and Commutative property of multiplication
A
    
9.   Solve the following equations for x:
  • -18 · x = 72 x = -4
        
  • 14
    19
    x =
    14
    19
    x = 1
        
  • 15 = 6x – -9 x = 1
        
  • f = -bx x = -f/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x + 28 ≤ -17 x ≤ -45
        
  • x ≠ 654
  • -19 ≤ x < -5
  • -
    20
    10
    x < -26 x > 13
        
11.   Convert the following numbers into scientific notation:
  • 0.000000885 8.85 × 10-7
        
  • 54300000000 5.43 × 1010
        
12.   Add the following polynomials:
  • -12z8 + -12z6 + -15z4  and  14z6 + -7z4
    -12z8 + 2z6 + -22z4
        
  • 4z19 + 13z12 + -12z1  and  3z19 + -8z12 + -7z1 7z19 + 5z12 + -19z1
        
13.   Multiply the following polynomials and simplify:
  • (9x4 + 6x3)5x3
    45x7 + 30x6
        
  • (6x5 + 7x2)(7x4 + 9x3)
    42x9 + 54x8 + 49x6 + 63x5
        
14.   Divide:
  • 16x2 - 36x + 14 / 4x - 7
    4x - 2
        
15.   Find the greatest common factor of the following terms:
  • 13, 60
    1
        
  • 90x10y, 60x6y4, 18x9y7
    6x6y
        
16.   Factor the following polynomials:
  • 9x3 - 6x2 - 3x
    9x(x +
    1
    3
    )(x - 1)
        
  • x2 - 4x - 45
    (x + 5)(x - 9)
        
  • x7 - 18x6 + 45x5
    x5(x - 15)(x - 3)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -5
    and
    9


        
  • x =
    0
    ,
    15

    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:
  • 21, 18, 16, 13, 19, 3, 32, 5, 24
        
20.   A bag contains 6 blue balls, 7 red balls, and 7 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    35.00%
        
  • A blue ball or red ball?
    65.00%
        
  • Two red balls?
    11.05%
        
  • A blue ball and a white ball?
    11.05%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 6
    x - y = -15
    A(-4.5,10.5)
        
  • 5x - y = -9
    4x + 9y = -8

    B(-1.82,-0.08)
        
22.   Write the following fractions in simplest form:
  • 80x6y2
    20x10y6
    4
    x4y4
        
  • x6 - 11x5 + 18x4
    x6(x - 2)
    (x - 9)
    x2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -12x + 20 = -x2
    x1 = 10,   x2 = 2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.165
    149
    900
        
25.   Solve the following equation:
  • -
    x + 7
    + 16 = -20
    x = 1289
        
26.   Rationalize the denominator of each fraction below:
  • 21
    7 +
    3
    147 - 21
    3
    46
        
27.   Use a trigonometric ratio to find x:
x = 31.11 cm
    
28.   The sum of two consecutive even integers is 34. What are the integers? (Hint: use 2x as the first even integer)
a=16, b=18
    
29.   After you leave your house, you walk 12 blocks south and 9 blocks east. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   The length of a rectangle is 6 less than 3 times the width. What are the dimensions of the rectangle if the area is 144ft2?
  • width = 8,  length = 18
        


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:   -17 and 18? -306
    
2.   Add:   -11 and -5? -16
    
3.   Divide:   7 and 1? 7
    
4.   Substract:   3 and -20? 23
    
5.   Calculate: |-17 · 5 + 19 · 16| 219
    
6.   Simplify the following expressions:
  • -4x – -3x + -6x -7x
        
  • 3y – -16x + -1 – 3 -4+16x+3y
        
  • 5 + -15y + -6x – 12x + -12x 5-30x-15y
        
  • y10 × y2 × x4 x4 × y12
        
  • x17
    x-1
    x18
        
  • (9x2)9 387420489x18
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) + 3 = 3 + ( m × n )
  • ( m + n ) + 5 = m + ( n + 5 )
  • a + b = b + a
  • -4x + 2 = 2 + -4x
B
    
8.   Which properties are illustrated by the following three expressions?
  • z + -5 × -1 = -5 × -1 + z
  • o × ( p × q ) = ( o × p ) × q
  • 18 × -16 = 18 × -16
  • Commutative property of addition, Associative property of multiplication and Commutative property of multiplication
  • Commutative property of multiplication, Commutative property of addition and Identity property of addition
  • Identity property of addition, Identity property of multiplication and Commutative property of addition
  • Commutative property of multiplication, Associative property of multiplication and Identity property of addition
A
    
9.   Solve the following equations for x:
  • 50 = 47 + x x = 3
        
  • 3
    10
    = -
    3
    10
    x x = -1
        
  • 27 = -19x – -46 x = 1
        
  • -gx = b x = -b/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -8x – -16 < -16 x > 4
        
  • x ≠ -652
  • -67 > x ≤ -58
  • -
    6
    2
    x < -
    24
    4
    x > 2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000511 5.11 × 10-7
        
  • 70900 7.09 × 104
        
12.   Add the following polynomials:
  • -4z8 + -15z7 + 5z6 + -2z5 + -1z4  and  -9z7 + -11
    -4z8 + -24z7 + 5z6 + -2z5 + -1z4 + -11
        
  • 6z16 + -8z12 + -6z6 + 11z5 + 2z1  and  8z16 + 4z12 + -13z7 + 13z3 + -9z1 14z16 + -4z12 + -13z7 + -6z6 + 11z5 + 13z3 + -7z1
        
13.   Multiply the following polynomials and simplify:
  • -2(2x - 8)
    -4x + 16
        
  • (3x3 + 7x)(4x4 + 10x2 + 9x)
    12x7 + 58x5 + 27x4 + 70x3 + 63x2
        
14.   Divide:
  • 15x2 + 50x + 63 / 5x + 5
    (3x + 7) with a remainder of 28
        
15.   Find the greatest common factor of the following terms:
  • 15, 66, 45
    3
        
  • 75x8y5, 65x6y2
    5x6y2
        
16.   Factor the following polynomials:
  • 33x4 + 11x3 - 22x2
    33x2(x + 1)(x -
    2
    3
    )
        
  • x2 + 12x + 36
    (x + 6)(x + 6)
        
  • x4 - 22x3 + 112x2
    x2(x - 14)(x - 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    -6


        
  • x =
    0
    ,
    14

    and
    8
        
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:
  • 13, 4, 25, 23, 1, 9, 8, 33
        
20.   A bag contains 5 blue balls, 4 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?
    43.75%
        
  • A blue ball or red ball?
    56.25%
        
  • Two red balls?
    6.25%
        
  • A blue ball and a white ball?
    13.67%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -11
    x - y = -1
    A(-6,-5)
        
  • x - 3y = 5
    8x + 8y = 3

    B(1.53,-1.16)
        
22.   Write the following fractions in simplest form:
  • 52x8y3
    13xy9
    4x7
    y6
        
  • (x - 1)7
    (x - 1)3
    (x - 1)4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 3x - 18 = -x2
    x1 = -6,   x2 = 3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 5.57
    502
    90
        
25.   Solve the following equation:
  • 24
    x
    = 2
    x = 6
        
26.   Rationalize the denominator of each fraction below:
  • 35
    14
    + 15
    -
    35
    14
    - 525
    211
        
27.   Use a trigonometric ratio to find x:
x = 44.00 cm
    
28.   The sum of two consecutive even integers is 34. What are the integers? (Hint: use 2x as the first even integer)
a=16, b=18
    
29.   After you leave your house, you walk 4 blocks east and 3 blocks south. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   A rectangle has an area of 143m2. Its width is 2 m less than its length. What are the dimensions of the rectangle?
  • width = 11,  length = 13
        


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.