Algebra test generator. Unlimited practices. Sharpen your algebra skills! Answers and solutions.
Time
02 : 30 : 00

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:   13 and -6? -78
    
2.   Add:   1 and -17? -16
    
3.   Divide:   12 and 3? 4
    
4.   Substract:   7 and 12? -5
    
5.   Calculate: |-9 + -18 · -18| 315
    
6.   Simplify the following expressions:
  • -14x + -4x + 8x -10x
        
  • -14y – 15 – -2x + -7x -15-5x-14y
        
  • 10 – -7z + 13 + -16y + -17y 23-33y+7z
        
  • x10 × y16 × y-14 × y6 x10 × y8
        
  • x-14
    x-18
    x4
        
  • (3x5)9 19683x45
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) + 2 = 2 + ( m × n )
  • ( m × n ) × p = m × ( n × p )
  • 0 + 9x = 9x
  • 2x + -10 = -10 + 2x
B
    
8.   Which properties are illustrated by the following three expressions?
  • 7 × ( -12 × 11 ) = ( 7 × -12 ) × 11
  • 1 × (d + e + f) = d + e + f
  • -17 × 1 = -17 × 1
  • Commutative property of multiplication, Identity property of addition and Associative property of multiplication
  • Commutative property of addition, Distributive property and Associative property of multiplication
  • Identity property of addition, Commutative property of addition and Commutative property of multiplication
  • Associative property of multiplication, Identity property of multiplication and Commutative property of multiplication
D
    
9.   Solve the following equations for x:
  • 98 = -1 + -x x = -99
        
  • -
    19
    2
    =
    19
    2
    x x = -1
        
  • -37 + -43x = -80 x = 1
        
  • bx = a x = a/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x + -30 ≤ 23 x ≤ 53
        
  • x ≠ 110
  • -39 ≥ x < 87
  • 30
    10
    x ≤
    6
    2
    x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000233 2.33 × 10-10
        
  • 16100000000 1.61 × 1010
        
12.   Add the following polynomials:
  • -5z8 + 10z4 + 13z2 + -9z1  and  -4z5 + -8z1
    -5z8 + -4z5 + 10z4 + 13z2 + -17z1
        
  • 14z20 + 7z16 + -9z1  and  -15z20 + 4z16 + -13z13 + -9z1 -1z20 + 11z16 + -13z13 + -18z1
        
13.   Multiply the following polynomials and simplify:
  • (9x - 5)(2x3 + x - 6)
    18x4 - 10x3 + 9x2 - 59x + 30
        
  • (1x4 + 2x3)(8x5 + 3x2)
    8x9 + 16x8 + 3x6 + 6x5
        
14.   Divide:
  • x3 + 7x2 + 10x + 70 / x + 7
    x2 + 10
        
15.   Find the greatest common factor of the following terms:
  • 81, 100, 52
    1
        
  • 90x2y3, 40x8y8
    10x2y3
        
16.   Factor the following polynomials:
  • 43x3 - 86x2 + 43x
    43x(x - 1)(x - 1)
        
  • x2 + 7x - 8
    (x + 8)(x - 1)
        
  • x6 - 8x5 - 33x4
    x4(x + 3)(x - 11)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -8
    and
    1


        
  • x =
    0
    ,
    -3

    and
    11
        
18.   You have 3 pants, 4 shirts, and 2 shoes. How many different ways can you dress?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 17, 2, 4, 33, 19, 10, 29
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 5
  • What is the probability of getting tails and 2?
    10.00%
        
  • What is the probability of getting tails and an odd number?
    20%
        
  • What is the probability of getting heads and a multiple of 2?
    20%
        
  • What is the probability of getting heads and a prime number?
    30%
        
  • What is the probability of not tails and not 4?
    40%
        
  • 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 = 2
    x - y = 7
    A(4.5,-2.5)
        
  • 5x - 4y = 1
    9x + y = 10

    B(1,1)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 + 10x + 25)
    (x + 5)
    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.
  • -10 = x2 - 11x
    x1 = 10,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 1.94
    193
    99
        
25.   Solve the following equation:
  • 2 +
    x + 6
    = 17
    x = 219
        
26.   Rationalize the denominator of each fraction below:
  • 5
    10
    7 +
    6
    35
    10
    - 10
    15
    43
        
27.   Use a trigonometric ratio to find x:
x = 12.00 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 3 blocks west and 4 blocks south. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   A rectangle has a length 7 m greater than its width. The area of the rectangle is 170m2. What are the length and width of the rectangle?
  • width = 10,  length = 17
        


To print this algebra practice test, click here.







New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

Follow me on Pinterest