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:   11 and -13? -143
    
2.   Add:   15 and 14? 29
    
3.   Divide:   5 and 1? 5
    
4.   Substract:   16 and 13? 3
    
5.   Calculate: |17 + -20 · 6 + 13| 90
    
6.   Simplify the following expressions:
  • 3x – 16x + 4x -9x
        
  • 19 + 11x + -4y – -6x 19+17x-4y
        
  • -15 – -16 – -1x – 2z – -3z 1+1x+1z
        
  • y-4 × x14 × x-19 × y2 x-5 × y-2
        
  • x-13
    x-13
    x0
        
  • (8x)10 1073741824x10
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) × z = x × ( y × z )
  • a + b = b + a
  • a × ( b + 3 ) = ab + 3b
  • -8 + 4 = 4 + -8
A
    
8.   Which properties are illustrated by the following three expressions?
  • y × ( -2 + 11 ) = y × -2 + y × 11
  • (y + 4) × (z + 6) = (z + 6) × (y + 4)
  • ( p × 1 ) × o = p × ( 1 × o )
  • Distributive property, Commutative property of multiplication and Associative property of multiplication
  • Identity property of multiplication, Distributive property and Associative property of addition
  • Associative property of multiplication, Identity property of addition and Commutative property of addition
  • Commutative property of multiplication, Commutative property of addition and Associative property of multiplication
A
    
9.   Solve the following equations for x:
  • -x + 85 = -2 x = 87
        
  • -
    1
    13
    x =
    17
    13
    x = -17
        
  • -3x + 14 = 62 x = -16
        
  • e = -cx x = -e/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -2x – 34 ≤ -40 x ≥ 3
        
  • x ≠ 110
  • 4 ≤ x ≤ -57
  • -
    30
    5
    x > -30 x < 5
        
11.   Convert the following numbers into scientific notation:
  • 0.000000276 2.76 × 10-7
        
  • 5430000000 5.43 × 109
        
12.   Add the following polynomials:
  • -15z8 + -11z7 + 6z4 + 10z2 + -15  and  14z8 + -15z5 + 11z4
    -1z8 + -11z7 + -15z5 + 17z4 + 10z2 + -15
        
  • -14z15 + -2z14 + -11z8 + -4  and  3z15 + 9z10 + 6z5 + -9z4 + 1 -11z15 + -2z14 + 9z10 + -11z8 + 6z5 + -9z4 + -3
        
13.   Multiply the following polynomials and simplify:
  • (1x2 + 6)(1x4 + 5)
    x6 + 6x4 + 5x2 + 30
        
  • (6x4 + 10)(5x3 + 4x)
    30x7 + 24x5 + 50x3 + 40x
        
14.   Divide:
  • 25x2 - 35x + 10 / 5x - 2
    5x - 5
        
15.   Find the greatest common factor of the following terms:
  • 66, 28
    2
        
  • 42x3y10, 30x3y7
    6x3y7
        
16.   Factor the following polynomials:
  • 45x4 + 15x3 - 100x2
    45x2(x -
    4
    3
    )(x +
    5
    3
    )
        
  • x2 - x - 72
    (x - 9)(x + 8)
        
  • x5 + 7x4 - 78x3
    x3(x + 13)(x - 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    9
    and
    -8


        
  • x =
    0
    ,
    -13

    and
    6
        
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:
  • 18, 33, 21, 9, 35, 15, 1, 23
        
20.   A bag contains 3 blue balls, 3 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?
    53.85%
        
  • A blue ball or red ball?
    46.15%
        
  • Two red balls?
    5.33%
        
  • A blue ball and a white ball?
    12.43%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -18
    x - y = -3
    A(-10.5,-7.5)
        
  • 12x - 10y = 4
    2x + 8y = 20

    B(2,2)
        
22.   Write the following fractions in simplest form:
  • 50x4y
    25x6y
    2
    x2
        
  • x4 - 2x3 - 3x2
    x5(x - 3)
    (x + 1)
    x3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -30 = x2 - 11x
    x1 = 5,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.335
    302
    900
        
25.   Solve the following equation:
  • 3
    x
    - 15 = 1
    x
    + 9
    x = 144
        
26.   Rationalize the denominator of each fraction below:
  • 3
    6
    25
    3
    3
    2
    25
        
27.   Use a trigonometric ratio to find x:
x = 24.00 cm
    
28.   The sum of two consecutive even integers is 18. What are the integers? (Hint: use 2x as the first even integer)
a=8, b=10
    
29.   After you leave your house, you walk 12 blocks west and 9 blocks north. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   The sides of a square are increased by 7 ft. The area of the newly created square is 169ft2. What was the original length of one side of the square?
  • 6 ft
        


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 -11? 209
    
2.   Add:   2 and 16? 18
    
3.   Divide:   -19 and 19? -1
    
4.   Substract:   -2 and -17? 15
    
5.   Calculate: |-5 · 19 + 9| 86
    
6.   Simplify the following expressions:
  • -10 + -19x + -11x -10-30x
        
  • -16x + 10x – 11y + 14x 8x-11y
        
  • -2y + -14y – 10 – -13 + -7z 3-16y-7z
        
  • y18 × x-3 x-3 × y18
        
  • x-11
    x10
    x-21
        
  • (8x4)6 262144x24
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × 4 = m × ( n × 4 )
  • 5 + 2 = 2 + 5
  • ( -7 × 7 ) + -10 = -10 + ( -7 × 7 )
  • a + b = b + a
A
    
8.   Which properties are illustrated by the following three expressions?
  • o + p + 0 = o + p
  • -6 + ( -14 + -10 ) = ( -6 + -14 ) + -10
  • 18 + w + x = w + x + 18
  • Identity property of addition, Associative property of addition and Commutative property of addition
  • Identity property of multiplication, Identity property of addition and Associative property of addition
  • Commutative property of multiplication, Identity property of multiplication and Associative property of multiplication
  • Commutative property of multiplication, Associative property of addition and Identity property of multiplication
A
    
9.   Solve the following equations for x:
  • -78 = x + 67 x = -145
        
  • 15
    27
    = -
    1
    9
    x x = -5
        
  • -2x + -14 = 20 x = -17
        
  • cx + d = ex x = (-d)/(c-e)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – -8 > 25 x < -17
        
  • x ≠ -9
  • -79 > x > 48
  • -
    36
    18
    x < -
    24
    2
    x > 6
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000355 3.55 × 10-11
        
  • 61500000 6.15 × 107
        
12.   Add the following polynomials:
  • 12z9 + 1z6 + 2z5 + -7z1 + 15  and  -8z10 + -11z5 + -12z1
    -8z10 + 12z9 + 1z6 + -9z5 + -19z1 + 15
        
  • -4z19 + -15z12 + 12z11 + 10z4  and  9z19 + -13z16 + -7z12 + -1z11 + 15z4 5z19 + -13z16 + -22z12 + 11z11 + 25z4
        
13.   Multiply the following polynomials and simplify:
  • (4x4 + 6x2 + 2x)-8
    -32x4 - 48x2 - 16x
        
  • (9x4 + 6x2 + 10)(8x5 + 8x3)
    72x9 + 120x7 + 128x5 + 80x3
        
14.   Divide:
  • 10x3 - 6x2 + 35x - 21 / 5x - 3
    2x2 + 7
        
15.   Find the greatest common factor of the following terms:
  • 24, 22
    2
        
  • 45x4y6, 54x2y10
    9x2y6
        
16.   Factor the following polynomials:
  • 6x5 + 24x4 + 15x3
    6x3(x -
    -4 +
    6
    2
    )(x -
    -4 -
    6
    2
    )
        
  • x2 - 2x - 63
    (x - 9)(x + 7)
        
  • x6 - 22x5 + 105x4
    x4(x - 7)(x - 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    9
    and
    -7


        
  • x =
    0
    ,
    7

    and
    15
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, three, or four scoops. Flavors can be chocolate or vanilla. How many choices do you have?
  • 16
        
19.   Use the following data to construct a box and whiskers plot:
  • 31, 29, 7, 36, 21, 11, 16, 13, 32
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 9
  • What is the probability of getting tails and 4?
    5.56%
        
  • What is the probability of getting heads and an odd number?
    22.22%
        
  • What is the probability of getting heads 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 tails and not 6?
    44.44%
        
  • 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 heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -6
    x - y = -7
    A(-6.5,0.5)
        
  • 6x - 7y = 17
    5x + 2y = 20

    B(3.7,0.74)
        
22.   Write the following fractions in simplest form:
  • 100x7y9
    25x7y8
    4y
        
  • x4(x + 1)
    x3 - 6x2 - 7x
    x3
    (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 + 5 = -6x
    x1 = -5,   x2 = -1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 8.5
    77
    9
        
25.   Solve the following equation:
  • 17
    x
    + 1 = 15
    x
    + 7
    x = 9
        
26.   Rationalize the denominator of each fraction below:
  • 7
    1 -
    7
    -
    7 + 7
    7
    6
        
27.   Use a trigonometric ratio to find x:
x = 29.44 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 12 blocks north and 5 blocks west. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   The length of a rectangle is 3 more than thrice its width. The area of the rectangle is 36ft2. What is the length and width of the rectangle?
  • width = 3,  length = 12
        


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.