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:   -64 and -94? 6016
    
2.   Add:   -74 and -16? -90
    
3.   Divide:   -57 and 19? -3
    
4.   Substract:   22 and -51? 73
    
5.   Calculate: |-82 + -55 · -99| 5363
    
6.   Simplify the following expressions:
  • 17 – 92x + -84 -67-92x
        
  • -91x + 64 + 3x – 34x 64-122x
        
  • 82x + -8x – 23x + -67z – 70z – 99x -48x-137z
        
  • x51 × y-35 x51 × y-35
        
  • x-24
    x29
    x-53
        
  • (6x2)2 36x4
        
7.   Which of the following expressions show the associative property?
  • ( m + n ) + 5 = m + ( n + 5 )
  • ( 7 + -5 ) × 4 = 4 × ( 7 + -5 )
  • 0 + -5x = -5x
  • -8 × 9 = 9 × -8
A
    
8.   Which properties are illustrated by the following three expressions?
  • x × ( y + 1 ) = x × y + x × 1
  • -42 × 1 = -42
  • 0 + 58 = 58
  • Distributive property, Identity property of multiplication and Identity property of addition
  • Identity property of addition, Associative property of multiplication and Associative property of addition
  • Identity property of multiplication, Associative property of addition and Commutative property of addition
  • Identity property of multiplication, Identity property of addition and Associative property of addition
A
    
9.   Solve the following equations for x:
  • -64 = 75 + -x x = 139
        
  • -
    19
    10
    = -
    19
    10
    x x = 1
        
  • 27 = 67 – -8x x = -5
        
  • a = dx x = a/d
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -2x + -2 ≥ -10 x ≤ 4
        
  • x ≠ 155
  • 57 > x > -47
  • -
    24
    12
    x < -
    12
    3
    x > 2
        
11.   Convert the following numbers into scientific notation:
  • 0.00000424 4.24 × 10-6
        
  • 252000000 2.52 × 108
        
12.   Add the following polynomials:
  • 20z9 + -13z7 + -13z6 + -20z3  and  11z9 + -20z7
    31z9 + -33z7 + -13z6 + -20z3
        
  • -39z19 + 37z18 + 6z16 + 28z3  and  44z19 + 30z16 + 9z3 5z19 + 37z18 + 36z16 + 37z3
        
13.   Multiply the following polynomials and simplify:
  • (10x5 + 2x2)(7x4 + 4x3 + 10x)
    70x9 + 40x8 + 114x6 + 8x5 + 20x3
        
  • (8x4 + 7x3 + 3x2)(4x5 + 10x4 + 1)
    32x9 + 108x8 + 82x7 + 30x6 + 8x4 + 7x3 + 3x2
        
14.   Divide:
  • 6x3 + 10x2 + 9x + 15 / 3x + 5
    2x2 + 3
        
15.   Find the greatest common factor of the following terms:
  • 450, 260
    10
        
  • 351y9, 126x9y4
    9y4
        
16.   Factor the following polynomials:
  • 18x5 - 15x4 - 18x3
    18x3(x +
    2
    3
    )(x -
    3
    2
    )
        
  • x2 - 13x + 42
    (x - 7)(x - 6)
        
  • x6 + 27x5 + 180x4
    x4(x + 15)(x + 12)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    7
    and
    6


        
  • x =
    0
    ,
    -15

    and
    -12
        
18.   How many ways can 3 people wait in line?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 33, 28, 36, 39, 34, 27, 6, 25
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 6
  • What is the probability of getting tails and 4?
    8.33%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting tails and a multiple of 3?
    16.67%
        
  • What is the probability of getting tails and a prime number?
    25%
        
  • What is the probability of not heads and not 1?
    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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 20
    x - y = 7
    A(13.5,6.5)
        
  • x - 9y = -18
    5x + 9y = -18

    B(-6,1.33)
        
22.   Write the following fractions in simplest form:
  • 18x4y6
    36x10y6
    1
    2x6
        
  • (x - 6)4
    (x - 6)
    (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.
  • -x2 = 14x + 45
    x1 = -5,   x2 = -9
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.30
    30
    99
        
25.   Solve the following equation:
  • 7
    x
    = 7
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 14
    9 -
    7
    63 + 7
    7
    37
        
27.   Use a trigonometric ratio to find x:
x = 22.52 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 3 blocks east and 4 blocks south. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   Each side of a square is lengthened by 2 m. This makes the area of the square 289m2. What is the original length of a side of the square?
  • 15 m
        


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:   91 and -17? -1547
    
2.   Add:   -96 and 53? -43
    
3.   Divide:   -17 and 1? -17
    
4.   Substract:   -37 and -46? 9
    
5.   Calculate: |-71 + 46 · -87 + 89| 3984
    
6.   Simplify the following expressions:
  • -57x – 67x + 54x -70x
        
  • -82y + 100x + 2 + -88x 2+12x-82y
        
  • -24x – 12z – 91x + 81z – -33z -115x+102z
        
  • x92 × x13 x105
        
  • x-61
    x77
    x-138
        
  • (4x3)9 262144x27
        
7.   Which of the following expressions show the associative property?
  • ( m + n ) + p = m + ( n + p )
  • -6 × ( x + 2 + 8 ) = -6×x + -6×2 + -6×8
  • m × ( n + 6 ) = mn + 6n
  • -8x + 4 = 4 + -8x
A
    
8.   Which properties are illustrated by the following three expressions?
  • (y + 7) × (x + -3) = (x + -3) × (y + 7)
  • -19 + -13 × -7 = -13 × -7 + -19
  • ( 16 + -18 ) + 8 = 16 + ( -18 + 8 )
  • Commutative property of multiplication, Commutative property of addition and Associative property of addition
  • Identity property of addition, Associative property of multiplication and Commutative property of multiplication
  • Identity property of multiplication, Commutative property of addition and Distributive property
  • Identity property of addition, Commutative property of multiplication and Commutative property of addition
A
    
9.   Solve the following equations for x:
  • -58 – -x = -26 x = 32
        
  • 4
    26
    x =
    20
    26
    x = 5
        
  • 60 = 15 – 15x x = -3
        
  • cx = d x = d/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -15x + -40 ≥ 35 x ≤ -5
        
  • x ≠ -904
  • -76 < x > -11
  • 20
    5
    x < 12 x < 3
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000394 3.94 × 10-11
        
  • 691000000000 6.91 × 1011
        
12.   Add the following polynomials:
  • 12z10 + -8z6 + -15z4 + -18z3 + 8  and  6z6 + 20
    12z10 + -2z6 + -15z4 + -18z3 + 28
        
  • 3z13 + -39z7 + 25z1  and  25z13 + -1z7 + -2z6 28z13 + -40z7 + -2z6 + 25z1
        
13.   Multiply the following polynomials and simplify:
  • 4x4(8x2 - 6)
    32x6 - 24x4
        
  • (10x3 + 9x2 + 5x)(1x4 + 10x3 + 9)
    10x7 + 109x6 + 95x5 + 50x4 + 90x3 + 81x2 + 45x
        
14.   Divide:
  • 4x2 - 12x - 15 / 2x - 8
    (2x + 2) with a remainder of 1
        
15.   Find the greatest common factor of the following terms:
  • 384, 234
    6
        
  • 168x7, 360x5y2, 165x3y
    3x3
        
16.   Factor the following polynomials:
  • 48x5 + 60x4 + 12x3
    48x3(x +
    1
    4
    )(x + 1)
        
  • x2 - 6x - 16
    (x + 2)(x - 8)
        
  • x5 + x4 - 182x3
    x3(x - 13)(x + 14)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    8


        
  • x =
    0
    ,
    13

    and
    -14
        
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, vanilla, strawberry or peach. How many choices do you have?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 30, 26, 27, 14, 17, 5, 40, 9
        
20.   A bag contains 3 blue balls, 2 red balls, and 7 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    58.33%
        
  • A blue ball or red ball?
    41.67%
        
  • Two red balls?
    1.52%
        
  • A blue ball and a white ball?
    15.91%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 13
    x - y = 8
    A(10.5,2.5)
        
  • 9x - 9y = -14
    4x + 9y = 10

    B(-0.31,1.25)
        
22.   Write the following fractions in simplest form:
  • 10x10y4
    30x4y6
    x6
    3y2
        
  • x7 - 4x6 - 45x5
    x6(x + 5)
    (x - 9)
    x
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 33 = x2 + 32x
    x1 = -33,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 7.62
    755
    99
        
25.   Solve the following equation:
  • -2 -
    x + 2
    = -15
    x = 167
        
26.   Rationalize the denominator of each fraction below:
  • 49
    10
    + 15
    -
    49
    10
    - 735
    215
        
27.   Use a trigonometric ratio to find x:
x = 16.74 cm
    
28.   The sum of two consecutive even integers is 18. What are the integers? (Hint: use 2x as the first even integer)
a=8, b=10
    
29.   After you leave your house, you walk 9 blocks east and 12 blocks south. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   The length of a rectangle is 4 more than twice its width. The area of the rectangle is 336m2. What is the length and width of the rectangle?
  • width = 12,  length = 28
        


To print this algebra practice test, click here.



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