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:   -12 and 7? -84
    
2.   Add:   -5 and -12? -17
    
3.   Divide:   4 and -4? -1
    
4.   Substract:   1 and 9? -8
    
5.   Calculate: |-10 + -15 · 10 + -10| 170
    
6.   Simplify the following expressions:
  • -20x – 2x + 17x -5x
        
  • 6y – -9y – -12x – 3y 12x+12y
        
  • -9y + 16z – -8 – 16x – 6x – -7x 8-15x-9y+16z
        
  • x-4 × x-16 × y-19 x-20 × y-19
        
  • x1
    x18
    x-17
        
  • (3x4)3 27x12
        
7.   Which of the following expressions show the associative property?
  • 8 + 2w + 4
  • 0 + 1x = 1x
  • 5( 6 + 8 ) = 5×6 + 5×8
  • ( m + n ) + 5 = m + ( n + 5 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + e + f + g = e + f + g
  • (x + -10) × (y + 3) = (y + 3) × (x + -10)
  • 9 + -5z = -5z + 9
  • Identity property of multiplication, Identity property of addition and Associative property of addition
  • Commutative property of addition, Associative property of addition and Distributive property
  • Identity property of addition, Commutative property of multiplication and Commutative property of addition
  • Associative property of multiplication, Identity property of multiplication and Commutative property of multiplication
C
    
9.   Solve the following equations for x:
  • -x · -30 = -60 x = -2
        
  • -
    1
    16
    x =
    6
    16
    x = -6
        
  • -51 = -68x – -17 x = 1
        
  • gx = -a x = -a/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 30x + -32 ≥ 28 x ≥ 2
        
  • x ≠ 292
  • 84 ≥ x ≥ 17
  • -
    26
    13
    x > 4 x < -2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000622 6.22 × 10-10
        
  • 407000000000 4.07 × 1011
        
12.   Add the following polynomials:
  • 2z10 + -15z5 + -5z3  and  11z5 + -9z3
    2z10 + -4z5 + -14z3
        
  • 4z18 + 1z16 + 13z14 + -11z2 + -14z1  and  14z18 + -6z16 + 15z14 + -9z5 + -11z2 18z18 + -5z16 + 28z14 + -9z5 + -22z2 + -14z1
        
13.   Multiply the following polynomials and simplify:
  • (10x4 + 7x3)(4x5 + x4 - 5)
    40x9 + 38x8 + 7x7 - 50x4 - 35x3
        
  • (6x5 + 8x4)(4x4 + 2)
    24x9 + 32x8 + 12x5 + 16x4
        
14.   Divide:
  • 15x3 + 21x2 - 20x - 28 / 5x + 7
    3x2 - 4
        
15.   Find the greatest common factor of the following terms:
  • 78, 77, 36
    1
        
  • 72x10y10, 84y5, 99x6y3
    3y3
        
16.   Factor the following polynomials:
  • 28x3 + 92x2 + 24x
    28x(x +
    2
    7
    )(x + 3)
        
  • x2 + 2x - 80
    (x + 10)(x - 8)
        
  • x5 - 10x4 + 21x3
    x3(x - 3)(x - 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -10
    and
    8


        
  • x =
    0
    ,
    3

    and
    7
        
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 or strawberry. How many choices do you have?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 39, 7, 4, 6, 29, 40, 38, 11, 22
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 9
  • What is the probability of getting tails and 7?
    5.56%
        
  • What is the probability of getting tails and an even 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 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 = 1
    x - y = 20
    A(10.5,-9.5)
        
  • 3x - 9y = 7
    10x + 4y = 9

    B(1.07,-0.42)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x6(x + 1)
    x4 + 7x3 + 6x2
    x4
    (x + 6)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 10x = -9
    x1 = 9,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.158
    143
    900
        
25.   Solve the following equation:
  • 5
    x
    - 8 = 2
    x
    + 4
    x = 16
        
26.   Rationalize the denominator of each fraction below:
  • 7
    15 +
    5
    105 - 7
    5
    220
        
27.   Use a trigonometric ratio to find x:
x = 24.25 cm
    
28.   The sum of two consecutive odd integers is 48. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=23, b=25
    
29.   After you leave your house, you walk 9 blocks south and 12 blocks west. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has a length 7 m greater than its width. The area of the rectangle is 78m2. What are the length and width of the rectangle?
  • width = 6,  length = 13
        


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.


Page copy protected against web site content infringement by Copyscape








Bookmark and Share