Algebra test generator



Name _____________________                                        Date:_____________________


Current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   6 and -37? -222
    
2.   Add:   -57 and -15? -72
    
3.   Divide:   -71 and -1? 71
    
4.   Substract:   74 and -53? 127
    
5.   Calculate: |89 · -81 + -52 · -3| 7053
    
6.   Simplify the following expressions:
  • -82x – -29x – 93x -146x
        
  • 23x + 84x – 72 + -7 -79+107x
        
  • 84y – -34 – -69z + -42y – 8 26+42y+69z
        
  • x-58 × y14 × y35 x-58 × y49
        
  • x15
    x13
    x2
        
  • (9x)3 729x3
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) + 9 = 9 + ( y × x )
  • 10 × ( x + 4 + 3 ) = 10×x + 10×4 + 10×3
  • ( x × y ) × z = x × ( y × z )
  • k × ( l + 6 ) = kl + 6l
C
    
8.   Which properties are illustrated by the following three expressions?
  • x + y + z + 0 = x + y + z
  • ( z + 0 ) × y = z × y + 0 × y
  • e + ( f + g ) = ( e + f ) + g
  • Distributive property, Identity property of multiplication and Identity property of addition
  • Commutative property of multiplication, Commutative property of addition and Identity property of multiplication
  • Associative property of addition, Commutative property of addition and Identity property of addition
  • Identity property of addition, Distributive property and Associative property of addition
D
    
9.   Solve the following equations for x:
  • -13 + x = 9 x = 22
        
  • 5
    14
    x = -
    25
    14
    x = -5
        
  • -151x + -53 = 98 x = -1
        
  • e = ax x = e/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 2x – 14 ≥ -22 x ≥ -4
        
  • x ≠ 570
  • 28 ≤ x > -35
  • -5x ≤
    35
    7
    x ≥ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000612 6.12 × 10-8
        
  • 5850000000 5.85 × 109
        
12.   Add the following polynomials:
  • 17z10 + -11z7 + -18z5  and  20z10 + -17z9
    37z10 + -17z9 + -11z7 + -18z5
        
  • -50z12 + -7z8 + -39z5 + -37z3 + -33  and  -26z17 + -50z3 + 48z1 -26z17 + -50z12 + -7z8 + -39z5 + -87z3 + 48z1 + -33
        
13.   Multiply the following polynomials and simplify:
  • (1x5 + 9x3)(5x4 + 2)
    5x9 + 45x7 + 2x5 + 18x3
        
  • (4x4 - 10)(1x - 8)
    4x5 - 32x4 - 10x + 80
        
14.   Divide:
  • 4x3 - 2x2 + 18x - 9 / 2x - 1
    2x2 + 9
        
15.   Find the greatest common factor of the following terms:
  • 234, 390, 264
    6
        
  • 225x4, 210y2, 486x3y4
    3
        
16.   Factor the following polynomials:
  • 12x3 + 5x2 - 3x
    12x(x -
    1
    3
    )(x +
    3
    4
    )
        
  • x2 - 2x - 15
    (x + 3)(x - 5)
        
  • x5 - 20x4 + 99x3
    x3(x - 9)(x - 11)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -3
    and
    5


        
  • x =
    0
    ,
    9

    and
    11
        
18.   You have 6 CDs. How many different ways can you listen to them?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 10, 15, 11, 20, 7, 18, 12
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 20
  • What is the probability of getting tails and 4?
    2.50%
        
  • What is the probability of getting heads and an even number?
    25%
        
  • What is the probability of getting heads and a multiple of 10?
    5%
        
  • What is the probability of getting tails and a prime number?
    20%
        
  • What is the probability of not heads and not 15?
    47.5%
        
  • 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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 7
    x - y = 8
    A(7.5,-0.5)
        
  • 6x - 2y = -9
    3x + 3y = -3

    B(-1.38,0.38)
        
22.   Write the following fractions in simplest form:
  • 6x9y10
    2x6y8
    3x3y2
        
  • (x + 10)
    (x + 10)2
    1
    x + 10
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -16x + 60 = -x2
    x1 = 10,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.783
    783
    999
        
25.   Solve the following equation:
  • 14
    x
    = 9
    x =
    196
    81
        
26.   Rationalize the denominator of each fraction below:
  • 3
    21 +
    14
    63 - 3
    14
    427
        
27.   Use a trigonometric ratio to find x:
x = 31.18 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 9 blocks south and 12 blocks east. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   The length of a rectangle is 8 less than 2 times the width. What are the dimensions of the rectangle if the area is 234m2?
  • width = 13,  length = 18
        


To print this algebra practice test, click here.



Name _____________________                                        Date:_____________________


Current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   -7 and -28? 196
    
2.   Add:   47 and -25? 22
    
3.   Divide:   15 and -1? -15
    
4.   Substract:   53 and 52? 1
    
5.   Calculate: |59 · -19 + 41 · -96| 5057
    
6.   Simplify the following expressions:
  • -5x – 15x + -81x -101x
        
  • -20y – 60y – 32x + -33 -33-32x-80y
        
  • 54y + -83z – 42z – -80z – 11y 43y-45z
        
  • x-19 × y29 x-19 × y29
        
  • x68
    x71
    x-3
        
  • (7x)9 40353607x9
        
7.   Which of the following expressions show the associative property?
  • -1 + 2 = 2 + -1
  • 9 + 4h + 7
  • ( x × y ) + 9 = 9 + ( y × x )
  • ( m × n ) × 9 = m × ( n × 9 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • y × ( z + 1 ) = y × z + y × 1
  • 14 × (6 + x) = (6 + x) × 14
  • 0 + u + 9 = u + 9
  • Distributive property, Commutative property of multiplication and Identity property of addition
  • Associative property of multiplication, Distributive property and Identity property of multiplication
  • Commutative property of multiplication, Associative property of addition and Commutative property of addition
  • Distributive property, Commutative property of multiplication and Associative property of multiplication
A
    
9.   Solve the following equations for x:
  • -48 = -x · -6 x = -8
        
  • -
    1
    2
    x = -
    15
    30
    x = 1
        
  • -27 = -15x – -3 x = 2
        
  • f = -ex x = -f/e
        
10.   Solve the following inequalities. Then graph a) on the number line