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:   2 and -6? -12
    
2.   Add:   3 and 17? 20
    
3.   Divide:   7 and -1? -7
    
4.   Substract:   -3 and -13? 10
    
5.   Calculate: |-12 + -13 · -9| 105
    
6.   Simplify the following expressions:
  • 8x + -11 – 10 -21+8x
        
  • -7 – 7y – 14y + 16y -7-5y
        
  • 16y – -19z + 12x + -20x – 1 – 14z -1-8x+16y+5z
        
  • y17 × y1 y18
        
  • x-20
    x-5
    x-15
        
  • (8x5)8 16777216x40
        
7.   Which of the following expressions show the associative property?
  • ( 7 + 5 ) + 9 = 7 + ( 5 + 9 )
  • 5( 9 + 1 ) = 5×9 + 5×1
  • e × ( f + 9 ) = ef + 9f
  • 3 × ( z + 9 + 5 ) = 3×z + 3×9 + 3×5
A
    
8.   Which properties are illustrated by the following three expressions?
  • (x + -2) × (y + -3) = (y + -3) × (x + -2)
  • 1 × (h + i + j) = h + i + j
  • ( y × z ) × x = y × ( z × x )
  • Associative property of multiplication, Distributive property and Commutative property of multiplication
  • Distributive property, Commutative property of addition and Commutative property of multiplication
  • Associative property of multiplication, Commutative property of addition and Commutative property of multiplication
  • Commutative property of multiplication, Identity property of multiplication and Associative property of multiplication
D
    
9.   Solve the following equations for x:
  • x – -36 = 41 x = 5
        
  • -
    13
    4
    = -
    13
    4
    x x = 1
        
  • -29 = 5x + 41 x = -14
        
  • ex = f x = f/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 29x – -3 ≤ 32 x ≤ 1
        
  • x ≠ 779
  • 67 < x < -20
  • -
    12
    4
    x ≤ 36 x ≥ -12
        
11.   Convert the following numbers into scientific notation:
  • 0.000000717 7.17 × 10-7
        
  • 36100000 3.61 × 107
        
12.   Add the following polynomials:
  • -1z10 + -5z3 + 2  and  15z10 + -3z8 + 12z7 + 9z3
    14z10 + -3z8 + 12z7 + 4z3 + 2
        
  • -14z10 + -6z8 + 9z5 + -8z1 + 10  and  9z10 + -3z8 + 15z5 -5z10 + -9z8 + 24z5 + -8z1 + 10
        
13.   Multiply the following polynomials and simplify:
  • 6x2(9x4 + 4x3 + 9x2)
    54x6 + 24x5 + 54x4
        
  • (6x5 - 4)(2x4 + 5x2 + x)
    12x9 + 30x7 + 6x6 - 8x4 - 20x2 - 4x
        
14.   Divide:
  • 3x3 + 8x2 + 6x + 16 / 3x + 8
    x2 + 2
        
15.   Find the greatest common factor of the following terms:
  • 60, 20
    20
        
  • 56x8y8, 65x9y6, 66x8y6
    x8y6
        
16.   Factor the following polynomials:
  • 50x4 + 95x3 + 30x2
    50x2(x +
    3
    2
    )(x +
    2
    5
    )
        
  • x2 - 13x + 40
    (x - 5)(x - 8)
        
  • x6 - 10x5 - 56x4
    x4(x - 14)(x + 4)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    8


        
  • x =
    0
    ,
    14

    and
    -4
        
18.   You are seating 3 people on 3 chairs. How many different ways can those people sit?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 23, 15, 10, 1, 37, 9, 12, 2
        
20.   A bag contains 6 blue balls, 7 red balls, and 6 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    31.58%
        
  • A blue ball or red ball?
    68.42%
        
  • Two red balls?
    13.57%
        
  • A blue ball and a white ball?
    9.97%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -12
    x - y = -4
    A(-8,-4)
        
  • 3x - 10y = -4
    4x + 5y = -9

    B(-2,-0.2)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 - 4x + 4)
    (x - 2)
    x - 2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x - 2 = -x2
    x1 = 1,   x2 = -2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.483
    479
    990
        
25.   Solve the following equation:
  • 2
    x
    = 11
    x =
    4
    121
        
26.   Rationalize the denominator of each fraction below:
  • 5
    5
    + 25
    -
    5
    - 25
    124
        
27.   Use a trigonometric ratio to find x:
x = 19.05 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 3 blocks east and 4 blocks north. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   A rectangle has a length 4 ft greater than its width. The area of the rectangle is 32ft2. What are the length and width of the rectangle?
  • width = 4,  length = 8
        


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:   19 and -12? -228
    
2.   Add:   12 and -6? 6
    
3.   Divide:   2 and 1? 2
    
4.   Substract:   4 and -16? 20
    
5.   Calculate: |7 – 10 – 5 · -15| 72
    
6.   Simplify the following expressions:
  • 20x + -1 – 3 -4+20x
        
  • 5x – 3 + -14y – -20 17+5x-14y
        
  • 10y – -15 + 13z – -9x + -12x 15-3x+10y+13z
        
  • y-16 × x-1 x-1 × y-16
        
  • x-15
    x12
    x-27
        
  • (10x2)4 10000x8
        
7.   Which of the following expressions show the associative property?
  • 7 + 3c + 2
  • 6 × 1 = 6
  • ( x × y ) × z = x × ( y × z )
  • 1( 8 + 5 ) = 1×8 + 1×5
C
    
8.   Which properties are illustrated by the following three expressions?
  • (h + i + j) × 1 = h + i + j
  • q × ( r + s ) = q × r + q × s
  • ( x + 0 ) + w = x + ( 0 + w )
  • Identity property of multiplication, Associative property of multiplication and Commutative property of addition
  • Associative property of multiplication, Distributive property and Commutative property of addition
  • Identity property of multiplication, Distributive property and Associative property of addition
  • Identity property of addition, Commutative property of addition and Associative property of addition
C
    
9.   Solve the following equations for x:
  • -3 – x = 80 x = -83
        
  • 3
    14
    x =
    6
    28
    x = 1
        
  • -27 = -49 + 2x x = 11
        
  • -ex = c x = -c/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -4x – -11 ≤ -5 x ≥ 4
        
  • x ≠ -461
  • 96 > x < -88
  • -
    33
    11
    x <
    30
    10
    x > -1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000283 2.83 × 10-8
        
  • 7240000 7.24 × 106
        
12.   Add the following polynomials:
  • 9z8 + 1z3  and  -12z9 + -4z8 + -2z6 + -9z4 + 10z3
    -12z9 + 5z8 + -2z6 + -9z4 + 11z3
        
  • -15z16 + -1z13 + 6z9 + 9z7 + -9z5  and  -7z16 + -15z9 + 9z5 + -10z1 -22z16 + -1z13 + -9z9 + 9z7 + -10z1
        
13.   Multiply the following polynomials and simplify:
  • (4x4 - 5)(10x5 + 9x3 + 3x2)
    40x9 + 36x7 + 12x6 - 50x5 - 45x3 - 15x2
        
  • (2x5 + x4)(8x4 + 8x2)
    16x9 + 8x8 + 16x7 + 8x6
        
14.   Divide:
  • 5x3 + 30x2 + x + 6 / x + 6
    5x2 + 1
        
15.   Find the greatest common factor of the following terms:
  • 75, 24
    3
        
  • 45x9y9, 60x7y9, 36y7
    3y7
        
16.   Factor the following polynomials:
  • 45x3 - 47x2 + 2x
    45x(x - 1)(x -
    2
    45
    )
        
  • x2 + 16x + 63
    (x + 9)(x + 7)
        
  • x9 - x8 - 42x7
    x7(x + 6)(x - 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -9
    and
    -7


        
  • x =
    0
    ,
    -6

    and
    7
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, or three scoops. Flavors can be chocolate, vanilla or strawberry. How many choices do you have?
  • 18
        
19.   Use the following data to construct a box and whiskers plot:
  • 3, 26, 12, 14, 31, 37, 40, 29, 38
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 10
  • What is the probability of getting tails and 3?
    5.00%
        
  • What is the probability of getting heads and an even number?
    25%
        
  • What is the probability of getting heads and a multiple of 4?
    10%
        
  • What is the probability of getting tails and a prime number?
    20%
        
  • What is the probability of not tails and not 10?
    45%
        
  • 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 = -19
    x - y = 7
    A(-6,-13)
        
  • 9x - 6y = -17
    8x + 2y = -8

    B(-1.24,0.97)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x2(x - 2)
    x8 - 7x7 + 10x6
    1
    x4(x - 5)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -x2 = 24x - 52
    x1 = -26,   x2 = 2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.173
    172
    990
        
25.   Solve the following equation:
  • -
    10
    x
    = -7
    x =
    100
    49
        
26.   Rationalize the denominator of each fraction below:
  • 1
    15 -
    7
    15 +
    7
    218
        
27.   Use a trigonometric ratio to find x:
x = 33.77 cm
    
28.   The sum of two consecutive even integers is 42. What are the integers? (Hint: use 2x as the first even integer)
a=20, b=22
    
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 a width that is 4 m less than its length. The area of the rectangle is 117m2. What are the dimensions of the rectangle?
  • width = 9,  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.