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:   -3 and -4? 12
    
2.   Add:   6 and 3? 9
    
3.   Divide:   -9 and -3? 3
    
4.   Substract:   -15 and -3? -12
    
5.   Calculate: |16 · 17 + -15 · 20| 28
    
6.   Simplify the following expressions:
  • 3x + 20x + 1x 24x
        
  • 5x + 9x – -17x + 15y 31x+15y
        
  • -12x + -7y + 13x – 6z – -15x 16x-7y-6z
        
  • x-12 × y0 x-12 × y0
        
  • x-20
    x11
    x-31
        
  • (9x4)5 59049x20
        
7.   Which of the following expressions show the associative property?
  • -10 + -5 = -5 + -10
  • 2 × 1 = 2
  • ( m × n ) + 6 = 6 + ( m × n )
  • ( m + n ) + 8 = m + ( n + 8 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 5 × 4 + y = y + 5 × 4
  • x + ( y + z ) = ( x + y ) + z
  • ( d × 1 ) × c = d × ( 1 × c )
  • Associative property of addition, Identity property of addition and Associative property of multiplication
  • Commutative property of multiplication, Associative property of multiplication and Identity property of multiplication
  • Commutative property of addition, Associative property of addition and Associative property of multiplication
  • Associative property of multiplication, Commutative property of addition and Identity property of multiplication
C
    
9.   Solve the following equations for x:
  • -x + 59 = 83 x = -24
        
  • -
    2
    7
    x = -
    30
    7
    x = 15
        
  • 16 = 44x – 28 x = 1
        
  • fx = b x = b/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -10x – 26 ≤ 14 x ≥ -4
        
  • x ≠ -93
  • -49 ≥ x < 95
  • 25
    5
    x > -40 x > -8
        
11.   Convert the following numbers into scientific notation:
  • 0.0000811 8.11 × 10-5
        
  • 50500000 5.05 × 107
        
12.   Add the following polynomials:
  • 6z6 + -11z4 + 10z2 + 11z1 + -9  and  12z10 + -9z4 + -13
    12z10 + 6z6 + -20z4 + 10z2 + 11z1 + -22
        
  • -11z20 + 4z18 + 1z12 + 13z5  and  15z20 + -15z18 + -11z13 + 9z10 4z20 + -11z18 + -11z13 + 1z12 + 9z10 + 13z5
        
13.   Multiply the following polynomials and simplify:
  • 5x4(3x4 + 5x3 + 7)
    15x8 + 25x7 + 35x4
        
  • (3x5 + 7x4 + 9x)(2x5 + x - 8)
    6x10 + 14x9 + 21x6 - 17x5 - 56x4 + 9x2 - 72x
        
14.   Divide:
  • 5x3 - 30x2 - 2x + 12 / x - 6
    5x2 - 2
        
15.   Find the greatest common factor of the following terms:
  • 42, 45
    3
        
  • 10x10y6, 90x10y8
    10x10y6
        
16.   Factor the following polynomials:
  • 48x4 - 28x3 - 48x2
    48x2(x -
    4
    3
    )(x +
    3
    4
    )
        
  • x2 + x - 90
    (x + 10)(x - 9)
        
  • x5 - 7x4 - 78x3
    x3(x + 6)(x - 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -10
    and
    9


        
  • x =
    0
    ,
    -6

    and
    13
        
18.   How many ways can 3 people wait in line?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 38, 27, 9, 6, 36, 34, 10, 37
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 10
  • What is the probability of getting heads and 2?
    5.00%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 3?
    15%
        
  • What is the probability of getting heads and a prime number?
    20%
        
  • What is the probability of not tails and not 6?
    45%
        
  • What is the probability of getting not heads 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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 15
    x - y = -9
    A(3,12)
        
  • 8x - 10y = 19
    x + 2y = -11

    B(-2.77,-4.12)
        
22.   Write the following fractions in simplest form:
  • 50x9y3
    25xy5
    2x8
    y2
        
  • x8 + 11x7 + 18x6
    x4(x + 2)
    x2(x + 9)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 33 = 34x
    x1 = 33,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.98
    98
    99
        
25.   Solve the following equation:
  • 15
    x
    - 5 = 20
    x
    - 10
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 6
    5 -
    21
    15 + 3
    21
    2
        
27.   Use a trigonometric ratio to find x:
x = 8.66 cm
    
28.   The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
    
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.   Each side of a square is decreased by 10 m. The area of the newly created square is 196m2. What was the original length of one side of the square?
  • 24 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:   -6 and 3? -18
    
2.   Add:   19 and -17? 2
    
3.   Divide:   9 and 1? 9
    
4.   Substract:   12 and 8? 4
    
5.   Calculate: |-9 · 13 + -7 · 5| 152
    
6.   Simplify the following expressions:
  • -5x – -14x – -9x 18x
        
  • 5y – -6y – -8y + 7x 7x+19y
        
  • -12z + 11y + 6 – -3 – 14x 9-14x+11y-12z
        
  • y8 × x-3 x-3 × y8
        
  • x2
    x-3
    x5
        
  • (3x)5 243x5
        
7.   Which of the following expressions show the associative property?
  • ( 4 + 2 ) + 6 = 4 + ( 2 + 6 )
  • 3 × -2 = -2 × 3
  • 6 × 1 = 6
  • ( -1 + -5 ) × 10 = 10 × ( -1 + -5 )
A
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (s + t) = s + t
  • x × ( -2 + 5 ) = x × -2 + x × 5
  • 11 × (4 + y) = (4 + y) × 11
  • Identity property of addition, Identity property of multiplication and Associative property of multiplication
  • Identity property of multiplication, Distributive property and Commutative property of multiplication
  • Distributive property, Associative property of multiplication and Identity property of multiplication
  • Commutative property of multiplication, Distributive property and Commutative property of addition
B
    
9.   Solve the following equations for x:
  • -62 = 31 · x x = -2
        
  • 30
    23
    x =
    30
    23
    x = 1
        
  • -45 = -56x + 67 x = 2
        
  • bx = ex + d x = d/(b-e)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -14x + 16 ≥ 30 x ≤ -1
        
  • x ≠ 218
  • -22 < x ≥ -83
  • -
    40
    20
    x > -20 x < 10
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000155 1.55 × 10-11
        
  • 996000 9.96 × 105
        
12.   Add the following polynomials:
  • 3z8 + -12z3 + 9z1  and  -15z9 + -3z6 + -3z5 + 2z3 + -2
    -15z9 + 3z8 + -3z6 + -3z5 + -10z3 + 9z1 + -2
        
  • 15z7 + -11z2 + 3z1  and  13z7 + 6z2 + 7z1 28z7 + -5z2 + 10z1
        
13.   Multiply the following polynomials and simplify:
  • 1x5(5x5 + 5x + 9)
    5x10 + 5x6 + 9x5
        
  • (7x5 + 6x2 + 6x)(6x5 + 10x2 + 1)
    42x10 + 106x7 + 36x6 + 7x5 + 60x4 + 60x3 + 6x2 + 6x
        
14.   Divide:
  • 8x2 - 16x - 10 / 4x + 2
    2x - 5
        
15.   Find the greatest common factor of the following terms:
  • 36, 72
    36
        
  • 45x7y3, 84x6y5
    3x6y3
        
16.   Factor the following polynomials:
  • 28x3 + 99x2 + 81x
    28x(x +
    9
    7
    )(x +
    9
    4
    )
        
  • x2 + 4x - 45
    (x - 5)(x + 9)
        
  • x4 - 2x3 - 48x2
    x2(x + 6)(x - 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    -9


        
  • x =
    0
    ,
    -6

    and
    8
        
18.   You are seating 4 people on 4 chairs. How many different ways can those people sit?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 23, 27, 12, 18, 6, 14, 3
        
20.   A bag contains 3 blue balls, 4 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    30.00%
        
  • A blue ball or red ball?
    70.00%
        
  • Two red balls?
    16.00%
        
  • A blue ball and a white ball?
    9.00%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -7
    x - y = 7
    A(0,-7)
        
  • 3x - 6y = 8
    5x + 5y = -15

    B(-1.11,-1.89)
        
22.   Write the following fractions in simplest form:
  • 40x5y4
    20xy2
    2x4y2
        
  • (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 - 90 = -9x
    x1 = -15,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.428
    386
    900
        
25.   Solve the following equation:
  • -13 +
    3x - 3
    = -4
    x = 28
        
26.   Rationalize the denominator of each fraction below:
  • 10
    2
    - 35
    -
    10
    2
    + 350
    1223
        
27.   Use a trigonometric ratio to find x:
x = 24.25 cm
    
28.   The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=17, b=19
    
29.   After you leave your house, you walk 6 blocks south and 8 blocks east. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   The length of a rectangle is 6 more than thrice its width. The area of the rectangle is 45m2. What is the length and width of the rectangle?
  • width = 3,  length = 15
        


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.