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:   8 and -17? -136
    
2.   Add:   -12 and 5? -7
    
3.   Divide:   -3 and -3? 1
    
4.   Substract:   8 and 4? 4
    
5.   Calculate: |4 · -4 + 8| 8
    
6.   Simplify the following expressions:
  • -8x – -15 + 5 20-8x
        
  • 19 + -10y – -11y – -12x 19+12x+1y
        
  • 2 + 10z – 14 – 9x + -2z -12-9x+8z
        
  • y-16 × x5 × x12 x17 × y-16
        
  • x15
    x5
    x10
        
  • (6x5)10 60466176x50
        
7.   Which of the following expressions show the associative property?
  • 0 + 10x = 10x
  • a + b = b + a
  • e × ( f + 7 ) = ef + 7f
  • ( m × n ) × 2 = m × ( n × 2 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • g × ( h + i ) = g × h + g × i
  • e + f + 6 = 6 + e + f
  • 5 + ( -12 + 19 ) = ( 5 + -12 ) + 19
  • Distributive property, Commutative property of addition and Associative property of addition
  • Commutative property of addition, Commutative property of multiplication and Associative property of addition
  • Commutative property of multiplication, Identity property of addition and Distributive property
  • Commutative property of multiplication, Distributive property and Associative property of multiplication
A
    
9.   Solve the following equations for x:
  • 60 = -49 + x x = 109
        
  • -
    10
    13
    =
    1
    13
    x x = -10
        
  • 4x + 55 = 47 x = -2
        
  • f + ax = -e x = (-f-e)/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – -18 ≤ -20 x ≥ 38
        
  • x ≠ 250
  • 1 ≥ x ≤ 21
  • 33
    11
    x >
    36
    3
    x > 4
        
11.   Convert the following numbers into scientific notation:
  • 0.00000366 3.66 × 10-6
        
  • 40500 4.05 × 104
        
12.   Add the following polynomials:
  • -9z10 + -6z7 + -6z4 + 13z1  and  9z10 + 13z7 + -7z4
    7z7 + -13z4 + 13z1
        
  • 11z12 + 4z11 + 10z4  and  -5z12 + 13z11 + 12z4 6z12 + 17z11 + 22z4
        
13.   Multiply the following polynomials and simplify:
  • 7x3(10x4 + 8x - 9)
    70x7 + 56x4 - 63x3
        
  • (10x2 + 10x + 8)(8x3 + 6x2 + x)
    80x5 + 140x4 + 134x3 + 58x2 + 8x
        
14.   Divide:
  • 4x3 - 24x2 + x + 4 / x - 6
    (4x2 + 1) with a remainder of 10
        
15.   Find the greatest common factor of the following terms:
  • 72, 42, 45
    3
        
  • 55x6y8, 100x8
    5x6
        
16.   Factor the following polynomials:
  • 16x3 + 32x2 + 14x
    16x(x -
    -4 +
    2
    4
    )(x -
    -4 -
    2
    4
    )
        
  • x2 - 8x + 7
    (x - 1)(x - 7)
        
  • x5 + 2x4 - 195x3
    x3(x + 15)(x - 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    1
    and
    7


        
  • x =
    0
    ,
    -15

    and
    13
        
18.   You have 2 pants, 4 shirts, and 2 shoes. How many different ways can you dress?
  • 16
        
19.   Use the following data to construct a box and whiskers plot:
  • 18, 11, 9, 40, 27, 21, 23, 39
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 6
  • What is the probability of getting tails and 5?
    8.33%
        
  • What is the probability of getting heads and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 2?
    25%
        
  • What is the probability of getting heads and a prime number?
    25%
        
  • What is the probability of not heads and not 4?
    41.67%
        
  • 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 = 9
    x - y = 18
    A(13.5,-4.5)
        
  • 3x - 2y = 10
    4x + 3y = -1

    B(1.65,-2.53)
        
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.
  • x2 - 12 = x
    x1 = 4,   x2 = -3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.43
    39
    90
        
25.   Solve the following equation:
  • 14
    x
    = 12
    x =
    196
    144
        
26.   Rationalize the denominator of each fraction below:
  • 35
    30
    9
    12
    35
    10
    18
        
27.   Use a trigonometric ratio to find x:
x = 28.28 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 12 blocks north and 9 blocks west. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has a width that is 7 ft less than its length. The area of the rectangle is 8ft2. What are the dimensions of the rectangle?
  • width = 1,  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:   -20 and 8? -160
    
2.   Add:   12 and 3? 15
    
3.   Divide:   -20 and 10? -2
    
4.   Substract:   -8 and -15? 7
    
5.   Calculate: |-11 + 8 · 1| 3
    
6.   Simplify the following expressions:
  • 19 + 2x + -9x 19-7x
        
  • -18 + 2y + 14 – -3x -4+3x+2y
        
  • -4x + 13 – 8x + -5z – -2z 13-12x-3z
        
  • x-7 × x-3 × x-8 × x-9 x-27
        
  • x5
    x3
    x2
        
  • (3x3)7 2187x21
        
7.   Which of the following expressions show the associative property?
  • ( 2 × -1 ) + 7 = 7 + ( 2 × -1 )
  • ( m + n ) + 5 = m + ( n + 5 )
  • a + b = b + a
  • 0 + -10x = -10x
B
    
8.   Which properties are illustrated by the following three expressions?
  • -15 + 0 = -15
  • r × ( s × t ) = ( r × s ) × t
  • -4 × 19 + 8 = 8 + -4 × 19
  • Identity property of addition, Associative property of multiplication and Commutative property of addition
  • Distributive property, Commutative property of addition and Identity property of addition
  • Commutative property of multiplication, Distributive property and Identity property of addition
  • Distributive property, Commutative property of addition and Commutative property of multiplication
A
    
9.   Solve the following equations for x:
  • x · -2 = -76 x = 38
        
  • 3
    12
    x = -
    6
    24
    x = -1
        
  • 99 + -73x = 26 x = 1
        
  • e = fx x = e/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – -25 ≤ 27 x ≤ 2
        
  • x ≠ -611
  • -35 > x < -23
  • 38
    19
    x ≤ -18 x ≤ -9
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000442 4.42 × 10-9
        
  • 828000000 8.28 × 108
        
12.   Add the following polynomials:
  • 4z6 + 3z1 + -14  and  -12z6 + 1z5 + 1z3 + 3z1 + 13
    -8z6 + 1z5 + 1z3 + 6z1 + -1
        
  • 4z18 + -13z17 + 5z4 + -15z1 + -6  and  14z18 + 11z17 + 6z3 + -2 18z18 + -2z17 + 5z4 + 6z3 + -15z1 + -8
        
13.   Multiply the following polynomials and simplify:
  • (2x4 + 5x3)(8x5 + 10x - 7)
    16x9 + 40x8 + 20x5 + 36x4 - 35x3
        
  • (10x5 + 10x3)(10x4 + 5x2 + 10x)
    100x9 + 150x7 + 100x6 + 50x5 + 100x4
        
14.   Divide:
  • 10x2 - 49x + 18 / 2x - 9
    5x - 2
        
15.   Find the greatest common factor of the following terms:
  • 50, 60, 45
    5
        
  • 44x10y, 84x9y10
    4x9y
        
16.   Factor the following polynomials:
  • 16x4 + 68x3 + 69x2
    16x2(x -
    -17 +
    13
    8
    )(x -
    -17 -
    13
    8
    )
        
  • x2 + 10x + 9
    (x + 1)(x + 9)
        
  • x4 + 9x3 + 20x2
    x2(x + 4)(x + 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -1
    and
    -9


        
  • x =
    0
    ,
    -4

    and
    -5
        
18.   You have 7 books to read. How many different ways can you read your books?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 28, 21, 29, 40, 30, 16, 11, 32
        
20.   A bag contains 4 blue balls, 7 red balls, and 2 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    15.38%
        
  • A blue ball or red ball?
    84.62%
        
  • Two red balls?
    26.92%
        
  • A blue ball and a white ball?
    5.13%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 11
    x - y = 16
    A(13.5,-2.5)
        
  • x - 3y = 2
    9x + 5y = 6

    B(0.88,-0.38)
        
22.   Write the following fractions in simplest form:
  • 16x9y3
    32x10y4
    1
    2xy
        
  • x7 + 2x6 - 3x5
    x(x - 1)
    x4(x + 3)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 7x = x2 + 6
    x1 = 1,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.13
    12
    90
        
25.   Solve the following equation:
  • -13
    x
    + 2 = -20
    x
    + 9
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 5
    15 +
    21
    75 - 5
    21
    204
        
27.   Use a trigonometric ratio to find x:
x = 15.56 cm
    
28.   The sum of two consecutive even integers is 14. What are the integers? (Hint: use 2x as the first even integer)
a=6, b=8
    
29.   After you leave your house, you walk 9 blocks west and 12 blocks south. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   Each side of a square is decreased by 7 ft. The area of the newly created square is 9ft2. What was the original length of one side of the square?
  • 10 ft
        


To print this algebra practice test, click here.



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.