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:   -1 and 13? -13
    
2.   Add:   4 and -9? -5
    
3.   Divide:   2 and 2? 1
    
4.   Substract:   11 and -11? 22
    
5.   Calculate: |18 · -7 + 15 · -18| 396
    
6.   Simplify the following expressions:
  • -9x – 20x + 20x -9x
        
  • 17y + 5y + -12x – -7x -5x+22y
        
  • -1 + 2z – -16x + -5z – -3 2+16x-3z
        
  • x-17 × y3 × x-1 x-18 × y3
        
  • x-5
    x-10
    x5
        
  • (7x2)7 823543x14
        
7.   Which of the following expressions show the associative property?
  • 6x + -8 = -8 + 6x
  • 0 + 1x = 1x
  • ( m + n ) + 3 = m + ( n + 3 )
  • -3 × ( y + 9 + 8 ) = -3×y + -3×9 + -3×8
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( t + u ) + s = t + ( u + s )
  • 0 + 46 = 46
  • (g + 15) × 1 = g + 15
  • Commutative property of multiplication, Identity property of addition and Commutative property of addition
  • Associative property of addition, Identity property of addition and Identity property of multiplication
  • Commutative property of multiplication, Identity property of multiplication and Associative property of addition
  • Identity property of multiplication, Associative property of multiplication and Associative property of addition
B
    
9.   Solve the following equations for x:
  • 30 = -x + 47 x = 17
        
  • 3
    9
    x = -
    6
    9
    x = -2
        
  • -27 – 23x = -4 x = -1
        
  • fx = -c x = -c/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – 22 ≥ -27 x ≥ -5
        
  • x ≠ 977
  • 97 ≥ x ≥ -34
  • 16
    8
    x ≤
    24
    12
    x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000539 5.39 × 10-8
        
  • 510000000 5.1 × 108
        
12.   Add the following polynomials:
  • 12z10 + 8z9 + -1z8 + 10z1  and  10z10 + -9z9
    22z10 + -1z9 + -1z8 + 10z1
        
  • -8z19 + 6z12 + -12z10 + -15z8  and  -1z16 + -14z12 + 6z9 -8z19 + -1z16 + -8z12 + -12z10 + 6z9 + -15z8
        
13.   Multiply the following polynomials and simplify:
  • (2x3 + 3x2 + x)(9x5 + 4x + 8)
    18x8 + 27x7 + 9x6 + 8x4 + 28x3 + 28x2 + 8x
        
  • (9x5 + 4x3 + x)(6x4 + x2)
    54x9 + 33x7 + 10x5 + x3
        
14.   Divide:
  • 16x3 + 8x2 - 36x + 4 / 4x + 2
    (4x2 - 9) with a remainder of 22
        
15.   Find the greatest common factor of the following terms:
  • 63, 39
    3
        
  • 60x2y5, 54x8y8, 72x7
    6x2
        
16.   Factor the following polynomials:
  • 8x5 - 32x4 + 6x3
    8x3(x -
    4 +
    13
    2
    )(x -
    4 -
    13
    2
    )
        
  • x2 - x - 42
    (x + 6)(x - 7)
        
  • x6 + 2x5 - 24x4
    x4(x + 6)(x - 4)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    7


        
  • x =
    0
    ,
    -6

    and
    4
        
18.   How many ways can 5 people wait in line?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 22, 29, 14, 20, 23, 1, 3, 16, 32, 8
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 6
  • What is the probability of getting tails and 1?
    8.33%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting heads and a multiple of 3?
    16.67%
        
  • What is the probability of getting heads and a prime number?
    25%
        
  • What is the probability of not tails and not 3?
    41.67%
        
  • 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 = -13
    x - y = -12
    A(-12.5,-0.5)
        
  • 6x - y = 2
    7x + 5y = -10

    B(0,-2)
        
22.   Write the following fractions in simplest form:
  • 48x7y6
    16x4y7
    3x3
    y
        
  • (x - 2)3
    (x - 2)6
    1
    (x - 2)3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 24x = -63
    x1 = -3,   x2 = -21
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.73
    660
    900
        
25.   Solve the following equation:
  • 40
    x
    = 2
    x = 10
        
26.   Rationalize the denominator of each fraction below:
  • 3
    10
    4
    2
    3
    5
    4
        
27.   Use a trigonometric ratio to find x:
x = 15.00 cm
    
28.   The sum of two consecutive odd integers is 56. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=27, b=29
    
29.   After you leave your house, you walk 6 blocks west and 8 blocks south. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   The length of a rectangle is 2 more than twice its width. The area of the rectangle is 84m2. What is the length and width of the rectangle?
  • width = 6,  length = 14
        


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:   -4 and -1? 4
    
2.   Add:   9 and 4? 13
    
3.   Divide:   -10 and 1? -10
    
4.   Substract:   1 and 11? -10
    
5.   Calculate: |-10 + 8 · 13 + 2| 96
    
6.   Simplify the following expressions:
  • 9 – 3 – -13x 6+13x
        
  • -1x + -12x + 3x – -16 16-10x
        
  • 5z + -12x + -4z + 14x + -9y 2x-9y+1z
        
  • x-9 × y-1 × y10 x-9 × y9
        
  • x8
    x-7
    x15
        
  • (4x5)8 65536x40
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) × z = x × ( y × z )
  • 8x + 8 = 8 + 8x
  • 0 + 1x = 1x
  • 9 + -6 = -6 + 9
A
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + p + 19 = p + 19
  • (x + 10) × (y + -3) = (y + -3) × (x + 10)
  • 94 + 87 = 94 + 87
  • Distributive property, Associative property of multiplication and Identity property of multiplication
  • Identity property of addition, Commutative property of multiplication and Associative property of multiplication
  • Identity property of addition, Commutative property of multiplication and Commutative property of addition
  • Associative property of addition, Identity property of addition and Commutative property of addition
C
    
9.   Solve the following equations for x:
  • 34 = -90 – x x = -124
        
  • 24
    17
    =
    2
    17
    x x = 12
        
  • 2x + 43 = 67 x = 12
        
  • d = -ex x = -d/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + -11 ≤ 2 x ≥ -13
        
  • x ≠ -802
  • 10 ≥ x > -29
  • 39
    13
    x >
    9
    3
    x > 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000638 6.38 × 10-5
        
  • 372000000 3.72 × 108
        
12.   Add the following polynomials:
  • -2z1 + 4  and  4z8 + 3z7 + -5z2 + 15z1 + 11
    4z8 + 3z7 + -5z2 + 13z1 + 15
        
  • 8z17 + 10z15 + 3z11 + 7z8 + 9z4  and  -13z15 + -12z11 + 10z4 8z17 + -3z15 + -9z11 + 7z8 + 19z4
        
13.   Multiply the following polynomials and simplify:
  • (8x4 + 4x2 + x)(7x5 + 4x3 + 6)
    56x9 + 60x7 + 7x6 + 16x5 + 52x4 + 24x2 + 6x
        
  • (10x3 + 2)(5x5 + 5x4 + 10x2)
    50x8 + 50x7 + 110x5 + 10x4 + 20x2
        
14.   Divide:
  • 10x2 + x - 2 / 5x - 2
    2x + 1
        
15.   Find the greatest common factor of the following terms:
  • 70, 54, 30
    2
        
  • 24x8y6, 72y, 60x4y2
    12y
        
16.   Factor the following polynomials:
  • 25x5 - 100x4 + 51x3
    25x3(x -
    3
    5
    )(x -
    17
    5
    )
        
  • x2 + 8x - 9
    (x - 1)(x + 9)
        
  • x5 + x4 - 72x3
    x3(x + 9)(x - 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    1
    and
    -9


        
  • x =
    0
    ,
    -9

    and
    8
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, or three scoops. Flavors can be chocolate or vanilla. How many choices do you have?
  • 12
        
19.   Use the following data to construct a box and whiskers plot:
  • 30, 3, 38, 21, 39, 9, 24
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 17
  • What is the probability of getting tails and 10?
    2.94%
        
  • What is the probability of getting tails and an odd number?
    23.53%
        
  • What is the probability of getting tails and a multiple of 5?
    8.82%
        
  • What is the probability of getting tails and a prime number?
    20.59%
        
  • What is the probability of not heads and not 13?
    47.06%
        
  • 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 = -12
    x - y = -11
    A(-11.5,-0.5)
        
  • x - 7y = -1
    2x + 8y = -20

    B(-6.73,-0.82)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x4(x + 6)
    x7 + 9x6 + 18x5
    1
    x(x + 3)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 90 = 9x
    x1 = 15,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.32
    290
    900
        
25.   Solve the following equation:
  • 4 -
    2x - 7
    = -7
    x = 64
        
26.   Rationalize the denominator of each fraction below:
  • 2
    10
    2
    6
    15
    3
        
27.   Use a trigonometric ratio to find x:
x = 20.78 cm
    
28.   The sum of two consecutive odd integers is 52. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=25, b=27
    
29.   After you leave your house, you walk 6 blocks east and 8 blocks north. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   A rectangle has a length 10 ft greater than its width. The area of the rectangle is 375ft2. What are the length and width of the rectangle?
  • width = 15,  length = 25
        


To print this algebra practice test, click here.



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