Algebra test generator



Name _____________________                                        Date:_____________________


Current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   65 and -18? -1170
    
2.   Add:   55 and 75? 130
    
3.   Divide:   -97 and 97? -1
    
4.   Substract:   -98 and 94? -192
    
5.   Calculate: |-52 · 99 + -96| 5244
    
6.   Simplify the following expressions:
  • 26x – 66 – 65x -66-39x
        
  • 32 + 74y – 21y – 45 -13+53y
        
  • 48y – 79 – 37z + 100y – -57y + 60x -79+60x+205y-37z
        
  • y9 × x97 x97 × y9
        
  • x-76
    x84
    x-160
        
  • (7x4)9 40353607x36
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × 3 = m × ( n × 3 )
  • 5 + 2r + 8
  • ( x × y ) + 5 = 5 + ( y × x )
  • 0 + 6x = 6x
A
    
8.   Which properties are illustrated by the following three expressions?
  • (s + 8) × 1 = s + 8
  • z × ( -20 + -13 ) = z × -20 + z × -13
  • 0 + q + r + s = q + r + s
  • Distributive property, Associative property of addition and Associative property of multiplication
  • Identity property of multiplication, Distributive property and Identity property of addition
  • Distributive property, Commutative property of addition and Associative property of multiplication
  • Identity property of multiplication, Commutative property of multiplication and Associative property of addition
B
    
9.   Solve the following equations for x:
  • -80 = -x – -89 x = 169
        
  • -
    2
    19
    x = -
    4
    19
    x = 2
        
  • -5x + -10 = 35 x = -9
        
  • ex – cx = d x = d/(e-c)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 19x + 3 ≥ 22 x ≥ 1
        
  • x ≠ -426
  • 97 < x ≥ 22
  • 30
    6
    x ≤
    20
    2
    x ≤ 2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000344 3.44 × 10-7
        
  • 5480000 5.48 × 106
        
12.   Add the following polynomials:
  • 19z10 + 9z8 + 5z7 + -12z6 + -7z2  and  -15z10 + -4z8 + -8z6 + 20z5 + -2z2
    4z10 + 5z8 + 5z7 + -20z6 + 20z5 + -9z2
        
  • 37z19 + 27z17 + -17z12  and  -2z17 + 24z11 + 49z9 37z19 + 25z17 + -17z12 + 24z11 + 49z9
        
13.   Multiply the following polynomials and simplify:
  • (4x5 + 3x3 + 9x2)6x5
    24x10 + 18x8 + 54x7
        
  • (5x5 - 10)(5x3 + 8)
    25x8 + 40x5 - 50x3 - 80
        
14.   Divide:
  • 12x3 - 40x2 + 30x - 100 / 3x - 10
    4x2 + 10
        
15.   Find the greatest common factor of the following terms:
  • 135, 280
    5
        
  • 396x4, 351x5y9, 126x8y3
    9x4
        
16.   Factor the following polynomials:
  • 35x5 + 54x4 - 72x3
    35x3(x +
    12
    5
    )(x -
    6
    7
    )
        
  • x2 + 4x - 32
    (x + 8)(x - 4)
        
  • x6 + 19x5 + 78x4
    x4(x + 13)(x + 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -8
    and
    4


        
  • x =
    0
    ,
    -13

    and
    -6
        
18.   How many ways can 3 people wait in line?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 18, 23, 6, 26, 38, 8, 7, 9
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 17
  • What is the probability of getting heads and 15?
    2.94%
        
  • What is the probability of getting heads and an even number?
    23.53%
        
  • What is the probability of getting tails and a multiple of 4?
    11.76%
        
  • What is the probability of getting heads and a prime number?
    20.59%
        
  • What is the probability of not heads and not 12?
    47.06%
        
  • 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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -11
    x - y = 4
    A(-3.5,-7.5)
        
  • x - 5y = -13
    x + y = 11

    B(7,4)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 + 2x + 1)
    (x + 1)
    x + 1
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 13x + 42 = -x2
    x1 = -6,   x2 = -7
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.643
    643
    999
        
25.   Solve the following equation:
  • -11
    x
    + 7 = -10
    x
    - 11
    x = 324
        
26.   Rationalize the denominator of each fraction below:
  • 5
    3
    21
    30
    10
    42
        
27.   Use a trigonometric ratio to find x:
x = 9.81 cm
    
28.   The sum of two consecutive odd integers is 44. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=21, b=23
    
29.   After you leave your house, you walk 8 blocks east and 6 blocks north. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   A rectangle has a length 7 m greater than its width. The area of the rectangle is 60m2. What are the length and width of the rectangle?
  • width = 5,  length = 12
        


To print this algebra practice test, click here.



Name _____________________                                        Date:_____________________


Current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   -53 and 34? -1802
    
2.   Add:   -63 and -9? -72
    
3.   Divide:   -80 and 1? -80
    
4.   Substract:   -81 and 56? -137
    
5.   Calculate: |-78 + 78 · 79| 6084
    
6.   Simplify the following expressions:
  • -57x – 68 + 66 -2-57x
        
  • -10x + -11 + 3x + -80 -91-7x
        
  • 71y + 21x – -15x – 39x + 99x + -26z 96x+71y-26z
        
  • x-28 × x73 × x-75 x-30
        
  • x-92
    x-34
    x-58
        
  • (9x)6 531441x6
        
7.   Which of the following expressions show the associative property?
  • 6x + -2 = -2 + 6x
  • ( m × n ) × p = m × ( n × p )
  • ( x + y ) × 4 = 4 × ( y + x )
  • 7 + 2n + 6
B
    
8.   Which properties are illustrated by the following three expressions?
  • ( f × 1 ) × e = f × ( 1 × e )
  • l × ( m + n ) = l × m + l × n
  • (x + -10) × (y + 9) = (y + 9) × (x + -10)
  • Distributive property, Commutative property of addition and Associative property of addition
  • Distributive property, Identity property of addition and Commutative property of multiplication
  • Associative property of multiplication, Distributive property and Commutative property of multiplication
  • Associative property of multiplication, Commutative property of addition and Identity property of addition
C
    
9.   Solve the following equations for x:
  • -39 = -x – -77 x = 116
        
  • 1
    19
    x = -
    13
    19
    x = -13
        
  • 157x + -84 = 73 x = 1
        
  • dx – ax = b x = b/(d-a)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 29x + 37 > 8 x > -1
        
  • x ≠ 785
  • 52 < x > 70
  • 30
    10
    x > -21 x > -7
        
11.   Convert the following numbers into scientific notation:
  • 0.000664 6.64 × 10-4
        
  • 8800000000 8.8 × 109
        
12.   Add the following polynomials:
  • 11z9 + -10z8 + -17z6 + -19z3 + 20z1  and  18z9 + 1z6 + -8z5 + -2z1 + -10z1
    29z9 + -10z8 + -16z6 + -8z5 + -19z3 + 8z1
        
  • -11z11 + -45z10 + -43z7 + 1  and  17z11 + 28z7 + 47 6z11 + -45z10 + -15z7 + 48
        
13.   Multiply the following polynomials and simplify:
  • (1x5 + 3x - 2)(9x5 + 4x2 + x)
    9x10 + 4x7 + 28x6 - 18x5 + 12x3 - 5x2 - 2x
        
  • (9x3 + 5x + 1)(9x3 - 2)
    81x6 + 45x4 - 9x3 - 10x - 2
        
14.   Divide:
  • 16x2 - 4x / 4x - 6
    (4x + 5) with a remainder of 30
        
15.   Find the greatest common factor of the following terms:
  • 468, 90, 252
    18
        
  • 364x9y2, 300x10y5, 330y6
    2y2
        
16.   Factor the following polynomials:
  • 42x4 - 6x3 - 36x2
    42x2(x - 1)(x +
    6
    7
    )
        
  • x2 - 19x + 90
    (x - 9)(x - 10)
        
  • x7 + 3x6 - 10x5
    x5(x - 2)(x + 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    9
    and
    10


        
  • x =
    0
    ,
    2

    and
    -5
        
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:
  • 31, 10, 30, 17, 13, 37, 27
        
20.   A bag contains 6 blue balls, 2 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?
    46.67%
        
  • A blue ball or red ball?
    53.33%
        
  • Two red balls?
    1.78%
        
  • A blue ball and a white ball?
    18.67%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 1
    x - y = -20
    A(-9.5,10.5)
        
  • 3x - y = -10
    3x + 8y = 13

    B(-2.48,2.56)
        
22.   Write the following fractions in simplest form:
  • 6x8y
    18x2y7
    x6
    3y6
        
  • (x + 4)6
    (x + 4)7
    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.
  • -8x + 12 = -x2
    x1 = 6,   x2 = 2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.86
    86
    99
        
25.   Solve the following equation:
  • 32
    x
    = 2
    x = 8
        
26.   Rationalize the denominator of each fraction below:
  • 14
    4
    7
        
27.   Use a trigonometric ratio to find x:
x = 24.25 cm
    
28.   The sum of two consecutive even integers is 38. What are the integers? (Hint: use 2x as the first even integer)
a=18, b=20
    
29.   After you leave your house, you walk 8 blocks west 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 lengthened by 3 m. This makes the area of the square 169m2. What is the original length of a side of the square?
  • 10 m
        


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.