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:   -18 and 15? -270
    
2.   Add:   -19 and -7? -26
    
3.   Divide:   4 and -4? -1
    
4.   Substract:   -7 and -5? -2
    
5.   Calculate: |-4 + -9 – -10 · 17| 157
    
6.   Simplify the following expressions:
  • -3x + 15x – 7x 5x
        
  • 19 + -17y + -2y – -14 33-19y
        
  • 1y + -9y – 5x – 3x – 19x + 11y -27x+3y
        
  • x17 × x7 × y-13 × y-1 x24 × y-14
        
  • x8
    x-2
    x10
        
  • (6x3)5 7776x15
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × 5 = m × ( n × 5 )
  • -5x + -1 = -1 + -5x
  • ( x × y ) + 2 = 2 + ( y × x )
  • ( -2 × 7 ) + 1 = 1 + ( -2 × 7 )
A
    
8.   Which properties are illustrated by the following three expressions?
  • ( 1 + 11 ) + 20 = 1 + ( 11 + 20 )
  • (e + 6) × 1 = e + 6
  • p × (n + o) = (n + o) × p
  • Identity property of multiplication, Commutative property of addition and Commutative property of multiplication
  • Identity property of addition, Distributive property and Identity property of multiplication
  • Commutative property of multiplication, Identity property of multiplication and Associative property of multiplication
  • Associative property of addition, Identity property of multiplication and Commutative property of multiplication
D
    
9.   Solve the following equations for x:
  • x · 7 = 77 x = 11
        
  • 28
    5
    =
    1
    5
    x x = 28
        
  • -64 – 11x = -86 x = 2
        
  • c = -d – ax x = (-c-d)/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – -28 > 18 x > -10
        
  • x ≠ 280
  • -30 ≤ x > -65
  • -
    24
    12
    x ≥ -
    40
    10
    x ≤ 2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000193 1.93 × 10-5
        
  • 594000000 5.94 × 108
        
12.   Add the following polynomials:
  • 7z10 + -1z8 + 13z5 + 3z4  and  12z5 + 15z4
    7z10 + -1z8 + 25z5 + 18z4
        
  • -7z19 + 5z14 + -8z11 + 9z5 + -1z1  and  6z19 + -10z14 + -2z5 -1z19 + -5z14 + -8z11 + 7z5 + -1z1
        
13.   Multiply the following polynomials and simplify:
  • (8x5 + 3)(10x4 + 9x3 + 7x)
    80x9 + 72x8 + 56x6 + 30x4 + 27x3 + 21x
        
  • (5x3 + 8x)(10x - 6)
    50x4 - 30x3 + 80x2 - 48x
        
14.   Divide:
  • 10x2 - 34x + 12 / 5x - 2
    2x - 6
        
15.   Find the greatest common factor of the following terms:
  • 90, 66
    6
        
  • 50x4y7, 75x5
    25x4
        
16.   Factor the following polynomials:
  • x5 + 9x4 - 10x3
    x3(x + 10)(x - 1)
        
  • x2 + 0x - 36
    (x + 6)(x - 6)
        
  • x8 + 17x7 + 60x6
    x6(x + 12)(x + 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    6


        
  • x =
    0
    ,
    -12

    and
    -5
        
18.   You have 4 CDs. How many different ways can you listen to them?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 35, 1, 16, 13, 2, 18, 26, 38, 40, 23
        
20.   A bag contains 5 blue balls, 4 red balls, and 5 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    35.71%
        
  • A blue ball or red ball?
    64.29%
        
  • Two red balls?
    8.16%
        
  • A blue ball and a white ball?
    12.76%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -9
    x - y = 20
    A(5.5,-14.5)
        
  • 8x - y = 13
    6x + 2y = -12

    B(0.64,-7.91)
        
22.   Write the following fractions in simplest form:
  • 20x7y6
    60x2y3
    x5y3
    3
        
  • x4(x + 8)
    x5 + 16x4 + 64x3
    x
    (x + 8)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 15x = -54
    x1 = -9,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 9.71
    962
    99
        
25.   Solve the following equation:
  • -17
    x
    + 10 = -18
    x
    + 11
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 2
    7
    14
    6
    42
    42
        
27.   Use a trigonometric ratio to find x:
x = 24.04 cm
    
28.   The sum of two consecutive odd integers is 16. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=7, b=9
    
29.   After you leave your house, you walk 6 blocks east and 8 blocks south. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   The length of a rectangle is 4 less than 4 times the width. What are the dimensions of the rectangle if the area is 80m2?
  • width = 5,  length = 16
        


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:   12 and 15? 180
    
2.   Add:   -3 and 4? 1
    
3.   Divide:   4 and -1? -4
    
4.   Substract:   13 and -3? 16
    
5.   Calculate: |17 + -2 · 15| 13
    
6.   Simplify the following expressions:
  • -6x – 1 + 9 8-6x
        
  • 10x + -20x + -19x + -18x -47x
        
  • 12x – -5z + -5x – 20x + 20y -13x+20y+5z
        
  • y-13 × x4 × y3 × y-8 x4 × y-18
        
  • x-15
    x-11
    x-4
        
  • (5x2)9 1953125x18
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × 6 = m × ( n × 6 )
  • ( x × y ) + 6 = 6 + ( y × x )
  • a + b = b + a
  • ( 2 × 10 ) + -3 = -3 + ( 2 × 10 )
A
    
8.   Which properties are illustrated by the following three expressions?
  • j + k + 18 = 18 + j + k
  • (k + l) × 1 = k + l
  • ( z + 0 ) × y = z × y + 0 × y
  • Commutative property of addition, Identity property of multiplication and Distributive property
  • Associative property of multiplication, Associative property of addition and Commutative property of addition
  • Identity property of multiplication, Commutative property of multiplication and Commutative property of addition
  • Associative property of multiplication, Associative property of addition and Commutative property of multiplication
A
    
9.   Solve the following equations for x:
  • -62 = -82 + -x x = -20
        
  • -
    11
    19
    x =
    11
    19
    x = -1
        
  • 20 + 37x = -91 x = -3
        
  • -g – dx = a x = (g+a)/(-d)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – -28 ≤ -9 x ≥ 37
        
  • x ≠ 778
  • 17 ≤ x > -94
  • -
    22
    11
    x > -
    40
    10
    x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.000434 4.34 × 10-4
        
  • 498000000000 4.98 × 1011
        
12.   Add the following polynomials:
  • -10z2 + -10z1  and  -11z9 + -6z4 + -11z2 + 8z1
    -11z9 + -6z4 + -21z2 + -2z1
        
  • -8z20 + -7z12 + -15z10 + -2z4 + 3z2  and  8z20 + -3z17 + -1z12 + -11z10 + -13z2 -3z17 + -8z12 + -26z10 + -2z4 + -10z2
        
13.   Multiply the following polynomials and simplify:
  • 6x5(6x5 + 4x4 + 1)
    36x10 + 24x9 + 6x5
        
  • (5x5 + x2 + 10x)(6x5 + 10x4 + x3)
    30x10 + 50x9 + 5x8 + 6x7 + 70x6 + 101x5 + 10x4
        
14.   Divide:
  • 5x2 - 8x - 4 / 5x + 2
    x - 2
        
15.   Find the greatest common factor of the following terms:
  • 78, 45, 60
    3
        
  • 72x9y4, 12x3, 30x9y9
    6x3
        
16.   Factor the following polynomials:
  • 6x4 + 22x3 + 16x2
    6x2(x +
    8
    3
    )(x + 1)
        
  • x2 - 4x + 3
    (x - 1)(x - 3)
        
  • x8 - 6x7 - 7x6
    x6(x - 7)(x + 1)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    1
    and
    3


        
  • x =
    0
    ,
    7

    and
    -1
        
18.   You have 5 pants, 3 shirts, and 5 shoes. How many different ways can you dress?
  • 75
        
19.   Use the following data to construct a box and whiskers plot:
  • 24, 21, 34, 15, 6, 26, 22, 14
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 9
  • What is the probability of getting tails and 5?
    5.56%
        
  • What is the probability of getting heads and an odd number?
    22.22%
        
  • What is the probability of getting tails and a multiple of 2?
    22.22%
        
  • What is the probability of getting heads and a prime number?
    22.22%
        
  • What is the probability of not heads and not 3?
    44.44%
        
  • 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 = 11
    x - y = 18
    A(14.5,-3.5)
        
  • x - y = -2
    6x + y = -19

    B(-3,-1)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 - 16x + 64)
    (x - 8)
    x - 8
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -7x - 44 = -x2
    x1 = 11,   x2 = -4
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.761
    761
    999
        
25.   Solve the following equation:
  • -9
    x
    + 10 = -8
    x
    - 3
    x = 169
        
26.   Rationalize the denominator of each fraction below:
  • 9
    15
    3
    15
    5
        
27.   Use a trigonometric ratio to find x:
x = 18.48 cm
    
28.   The sum of two consecutive odd integers is 24. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=11, b=13
    
29.   After you leave your house, you walk 4 blocks south and 3 blocks east. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   Each side of a square is lengthened by 10 ft. This makes the area of the square 225ft2. What is the original length of a side of the square?
  • 5 ft
        


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.