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 -13? 234
    
2.   Add:   3 and 14? 17
    
3.   Divide:   -17 and -1? 17
    
4.   Substract:   14 and 1? 13
    
5.   Calculate: |5 · 6 + -20| 10
    
6.   Simplify the following expressions:
  • -4x + 9 + 8 17-4x
        
  • -15x + 12x + 6y + 18y -3x+24y
        
  • 4x – 17x + -14x – 17 + 16y + 15y -17-27x+31y
        
  • y-4 × x-16 × x6 x-10 × y-4
        
  • x-3
    x-2
    x-1
        
  • (9x4)10 3486784401x40
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × p = m × ( n × p )
  • ( -10 + -9 ) × -2 = -2 × ( -10 + -9 )
  • o × ( p + 9 ) = op + 9p
  • -6 × ( y + 4 + 4 ) = -6×y + -6×4 + -6×4
A
    
8.   Which properties are illustrated by the following three expressions?
  • 10 + 89 = 10 + 89
  • m + n + 0 = m + n
  • ( d + 0 ) + c = d + ( 0 + c )
  • Commutative property of addition, Identity property of addition and Associative property of addition
  • Commutative property of addition, Associative property of addition and Identity property of multiplication
  • Associative property of addition, Identity property of addition and Distributive property
  • Identity property of multiplication, Identity property of addition and Commutative property of addition
A
    
9.   Solve the following equations for x:
  • 58 = 2 · x x = 29
        
  • -
    1
    2
    x = -
    15
    10
    x = 3
        
  • 92 – 10x = -68 x = 16
        
  • ax = b x = b/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 29x – -6 > 35 x > 1
        
  • x ≠ -556
  • 11 ≤ x ≥ 12
  • -
    18
    9
    x < -
    30
    5
    x > 3
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000875 8.75 × 10-9
        
  • 8400000000 8.4 × 109
        
12.   Add the following polynomials:
  • -13z5 + -15z3 + -11z1  and  -14z6 + 9z5 + -4z3 + 8z1 + 8
    -14z6 + -4z5 + -19z3 + -3z1 + 8
        
  • 3z18 + 14z16 + -8z6 + 4z6  and  -6z17 + -2z12 + 5z6 3z18 + -6z17 + 14z16 + -2z12 + 1z6
        
13.   Multiply the following polynomials and simplify:
  • (6x3 - 4)(6x5 + 8x)
    36x8 - 24x5 + 48x4 - 32x
        
  • (5x4 + 10x3)(6x5 + 4x4)
    30x9 + 80x8 + 40x7
        
14.   Divide:
  • 2x2 - 19x + 45 / x - 5
    2x - 9
        
15.   Find the greatest common factor of the following terms:
  • 84, 12, 45
    3
        
  • 16xy8, 48x10y3
    16xy3
        
16.   Factor the following polynomials:
  • 2x5 + 14x4 + 18x3
    2x3(x -
    -7 +
    13
    2
    )(x -
    -7 -
    13
    2
    )
        
  • x2 + 10x + 16
    (x + 8)(x + 2)
        
  • x6 + 29x5 + 210x4
    x4(x + 15)(x + 14)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -8
    and
    -2


        
  • x =
    0
    ,
    -15

    and
    -14
        
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, vanilla, strawberry or peach. How many choices do you have?
  • 32
        
19.   Use the following data to construct a box and whiskers plot:
  • 16, 10, 29, 19, 26, 28, 24
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 14
  • What is the probability of getting heads and 4?
    3.57%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting heads and a multiple of 7?
    7.14%
        
  • What is the probability of getting tails and a prime number?
    21.43%
        
  • What is the probability of not tails and not 8?
    46.43%
        
  • 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 = -2
    x - y = 3
    A(0.5,-2.5)
        
  • 4x - 8y = -15
    4x + 3y = -17

    B(-4.11,-0.18)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 6)3
    (x - 6)6
    1
    (x - 6)3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 20x = x2 - 21
    x1 = -1,   x2 = 21
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.1270
    1269
    9990
        
25.   Solve the following equation:
  • -10
    x
    - 13 = -11
    x
    - 7
    x = 36
        
26.   Rationalize the denominator of each fraction below:
  • 25
    2
    - 9
    -
    25
    2
    + 225
    79
        
27.   Use a trigonometric ratio to find x:
x = 17.32 cm
    
28.   The sum of two consecutive even integers is 30. What are the integers? (Hint: use 2x as the first even integer)
a=14, b=16
    
29.   After you leave your house, you walk 12 blocks east and 9 blocks south. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has a length 2 ft greater than its width. The area of the rectangle is 360ft2. What are the length and width of the rectangle?
  • width = 18,  length = 20
        


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:   -17 and 18? -306
    
2.   Add:   -15 and 6? -9
    
3.   Divide:   -17 and -17? 1
    
4.   Substract:   8 and -9? 17
    
5.   Calculate: |-9 + 6 · 1| 3
    
6.   Simplify the following expressions:
  • 20x – 17x + -6 -6+3x
        
  • -13x – 18x – 2x – 16 -16-33x
        
  • -16y + 11y + 10x – 11y – -6z 10x-16y+6z
        
  • y10 × y-6 × y0 y4
        
  • x16
    x11
    x5
        
  • (4x3)9 262144x27
        
7.   Which of the following expressions show the associative property?
  • -4 × -10 = -10 × -4
  • 5 × ( z + 6 + 9 ) = 5×z + 5×6 + 5×9
  • 3 + 5g + 7
  • ( x × y ) × z = x × ( y × z )
D
    
8.   Which properties are illustrated by the following three expressions?
  • -16 × ( 6 + -3) = -16 × 6 + -16 × -3
  • 10 × 1 = 10
  • ( x + 0 ) + w = x + ( 0 + w )
  • Associative property of multiplication, Identity property of addition and Commutative property of multiplication
  • Identity property of multiplication, Distributive property and Commutative property of addition
  • Identity property of addition, Commutative property of multiplication and Commutative property of addition
  • Distributive property, Identity property of multiplication and Associative property of addition
D
    
9.   Solve the following equations for x:
  • -x · 30 = -90 x = 3
        
  • -
    1
    9
    x =
    5
    9
    x = -5
        
  • -69 + 5x = 36 x = 21
        
  • -cx = g – bx x = g/(-c+b)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – -26 ≤ -21 x ≥ 47
        
  • x ≠ 593
  • -96 > x < 32
  • -
    10
    2
    x ≥ 25 x ≤ -5
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000235 2.35 × 10-8
        
  • 945000000000 9.45 × 1011
        
12.   Add the following polynomials:
  • 10z9 + -10z7 + 14z6 + 11z3  and  8z9 + -2z7 + -15z6 + -10z3
    18z9 + -12z7 + -1z6 + 1z3
        
  • -3z8 + 14z7 + 12z4  and  -8z17 + -12z15 + -3z8 -8z17 + -12z15 + -6z8 + 14z7 + 12z4
        
13.   Multiply the following polynomials and simplify:
  • (4x5 + 2x4)(5x5 + 6x4 - 7)
    20x10 + 34x9 + 12x8 - 28x5 - 14x4
        
  • (2x5 + 8x4 + 1)(9x4 + 7x)
    18x9 + 72x8 + 14x6 + 56x5 + 9x4 + 7x
        
14.   Divide:
  • 3x2 - 21x + 18 / x - 6
    3x - 3
        
15.   Find the greatest common factor of the following terms:
  • 75, 52
    1
        
  • 99xy10, 66x8y5
    33xy5
        
16.   Factor the following polynomials:
  • 52x3 + 56x2 + 4x
    52x(x +
    1
    13
    )(x + 1)
        
  • x2 + 12x + 35
    (x + 7)(x + 5)
        
  • x4 - 9x3 - 70x2
    x2(x - 14)(x + 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -7
    and
    -5


        
  • x =
    0
    ,
    14

    and
    -5
        
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, vanilla, strawberry or peach. How many choices do you have?
  • 32
        
19.   Use the following data to construct a box and whiskers plot:
  • 11, 14, 17, 32, 24, 12, 20
        
20.   A bag contains 7 blue balls, 6 red balls, and 5 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    27.78%
        
  • A blue ball or red ball?
    72.22%
        
  • Two red balls?
    9.80%
        
  • A blue ball and a white ball?
    11.44%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -5
    x - y = -8
    A(-6.5,1.5)
        
  • 2x - 6y = -8
    3x + 3y = -12

    B(-4,0)
        
22.   Write the following fractions in simplest form:
  • 14x10y8
    28x10y10
    1
    2y2
        
  • (x - 5)
    (x2 - 10x + 25)
    1
    x - 5
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 75 = 20x
    x1 = 5,   x2 = 15
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.1912
    1911
    9990
        
25.   Solve the following equation:
  • -
    8
    x
    = -6
    x =
    64
    36
        
26.   Rationalize the denominator of each fraction below:
  • 3
    15
    15
    5
        
27.   Use a trigonometric ratio to find x:
x = 29.70 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 16 blocks east and 12 blocks south. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   Each side of a square is decreased by 9 m. The area of the newly created square is 1m2. What was the original length of one 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.