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:   -7 and -4? 28
    
2.   Add:   -12 and 18? 6
    
3.   Divide:   -16 and -4? 4
    
4.   Substract:   3 and 3? 0
    
5.   Calculate: |10 + -13 · -10| 140
    
6.   Simplify the following expressions:
  • -15 + -4x – 13x -15-17x
        
  • 2x + 12x + 3y + 6x 20x+3y
        
  • -9x + -20z + -3 – 11y + -18x – -15 12-27x-11y-20z
        
  • x-14 × x19 × y-10 × y14 x5 × y4
        
  • x11
    x13
    x-2
        
  • (4x)5 1024x5
        
7.   Which of the following expressions show the associative property?
  • ( 5 + 7 ) + 8 = 5 + ( 7 + 8 )
  • ( 8 × -7 ) + 3 = 3 + ( 8 × -7 )
  • 2( 8 + 3 ) = 2×8 + 2×3
  • ( x + y ) × 6 = 6 × ( y + x )
A
    
8.   Which properties are illustrated by the following three expressions?
  • (p + q) × 1 = p + q
  • 6 × (-9 + y) = (-9 + y) × 6
  • -5 × 3 + x = x + -5 × 3
  • Identity property of multiplication, Commutative property of multiplication and Distributive property
  • Identity property of multiplication, Commutative property of multiplication and Identity property of addition
  • Identity property of multiplication, Commutative property of multiplication and Commutative property of addition
  • Identity property of multiplication, Associative property of multiplication and Commutative property of addition
C
    
9.   Solve the following equations for x:
  • 88 – -x = 19 x = -69
        
  • 23
    5
    x = -
    23
    5
    x = -1
        
  • 92 – 13x = -64 x = 12
        
  • cx = -b x = -b/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + 22 > -4 x < 26
        
  • x ≠ 387
  • 67 > x ≥ -58
  • 8
    2
    x ≤
    24
    6
    x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000853 8.53 × 10-11
        
  • 59200000 5.92 × 107
        
12.   Add the following polynomials:
  • 6z9 + -2z4 + 3z2 + 12z1  and  7z9 + 4z1
    13z9 + -2z4 + 3z2 + 16z1
        
  • -13z17 + -14z10 + -15z6  and  -15z17 + 3z15 + -9z10 + -14z3 + 3z2 -28z17 + 3z15 + -23z10 + -15z6 + -14z3 + 3z2
        
13.   Multiply the following polynomials and simplify:
  • (2x5 + 9x4)(9x - 1)
    18x6 + 79x5 - 9x4
        
  • (7x4 + 7x2)(8x5 + 2x4 - 4)
    56x9 + 14x8 + 56x7 + 14x6 - 28x4 - 28x2
        
14.   Divide:
  • 25x2 - 65x + 42 / 5x - 7
    5x - 6
        
15.   Find the greatest common factor of the following terms:
  • 48, 45, 36
    3
        
  • 84x5y10, 26x6y6
    2x5y6
        
16.   Factor the following polynomials:
  • 28x4 - 76x3 + 50x2
    28x2(x -
    19 +
    11
    14
    )(x -
    19 -
    11
    14
    )
        
  • x2 - 7x + 10
    (x - 5)(x - 2)
        
  • x7 + 28x6 + 195x5
    x5(x + 15)(x + 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    2


        
  • x =
    0
    ,
    -15

    and
    -13
        
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:
  • 24, 6, 21, 19, 26, 15, 10, 8, 11
        
20.   A bag contains 7 blue balls, 5 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    20.00%
        
  • A blue ball or red ball?
    80.00%
        
  • Two red balls?
    11.11%
        
  • A blue ball and a white ball?
    9.33%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 17
    x - y = 12
    A(14.5,2.5)
        
  • 3x - 8y = -11
    2x + y = 5

    B(1.53,1.95)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 - 8x + 16)
    (x - 4)
    x - 4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 23x = -42
    x1 = 2,   x2 = 21
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.110
    109
    990
        
25.   Solve the following equation:
  • 19
    x
    + 14 = 20
    x
    - 3
    x = 289
        
26.   Rationalize the denominator of each fraction below:
  • 6
    6
    + 5
    -
    6
    6
    - 30
    19
        
27.   Use a trigonometric ratio to find x:
x = 15.00 cm
    
28.   The sum of two consecutive even integers is 34. What are the integers? (Hint: use 2x as the first even integer)
a=16, b=18
    
29.   After you leave your house, you walk 16 blocks east and 12 blocks south. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   A rectangle has a length 8 m greater than its width. The area of the rectangle is 65m2. What are the length and width of the rectangle?
  • width = 5,  length = 13
        


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:   -18 and -1? 18
    
2.   Add:   -11 and 6? -5
    
3.   Divide:   19 and -1? -19
    
4.   Substract:   -13 and -9? -4
    
5.   Calculate: |-20 + 20 · -3| 80
    
6.   Simplify the following expressions:
  • 5x – -7x – 13x -1x
        
  • 18y + 10y – -11y + -11y 28y
        
  • -19 – -4x + -2z – -6y + -5 -24+4x+6y-2z
        
  • x-18 × y-9 × x-4 × x-14 x-36 × y-9
        
  • x17
    x-20
    x37
        
  • (9x3)5 59049x15
        
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • n × ( o + 7 ) = no + 7o
  • ( m × n ) × 2 = m × ( n × 2 )
  • 9( 3 + 8 ) = 9×3 + 9×8
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( r × 1 ) × q = r × ( 1 × q )
  • (8 + y) × 8 = 8 × (8 + y)
  • -2 × ( -3 + -11) = -2 × -3 + -2 × -11
  • Associative property of multiplication, Commutative property of multiplication and Distributive property
  • Commutative property of multiplication, Distributive property and Identity property of addition
  • Identity property of addition, Commutative property of addition and Identity property of multiplication
  • Associative property of addition, Commutative property of multiplication and Commutative property of addition
A
    
9.   Solve the following equations for x:
  • -35 + x = 38 x = 73
        
  • 18
    17
    x =
    18
    17
    x = 1
        
  • 21 = -5x – 79 x = -20
        
  • gx = c x = c/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -3x – -34 < 4 x > 10
        
  • x ≠ -987
  • -42 < x ≥ -81
  • -
    24
    8
    x ≤
    27
    9
    x ≥ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.000746 7.46 × 10-4
        
  • 9470000 9.47 × 106
        
12.   Add the following polynomials:
  • -1z6 + 1z5  and  -13z9 + 13z6 + -1z5 + -6z3 + -15z2
    -13z9 + 12z6 + -6z3 + -15z2
        
  • -9z20 + 12z18 + -12z11 + 6  and  -1z20 + 2z18 + -4z11 + -4z9 + 1 -10z20 + 14z18 + -16z11 + -4z9 + 7
        
13.   Multiply the following polynomials and simplify:
  • (7x3 + 7x2)(5x4 + x)
    35x7 + 35x6 + 7x4 + 7x3
        
  • (4x4 + 5)(7x5 + 3x3)
    28x9 + 12x7 + 35x5 + 15x3
        
14.   Divide:
  • 8x2 - 40x + 47 / 2x - 7
    (4x - 6) with a remainder of 5
        
15.   Find the greatest common factor of the following terms:
  • 66, 99, 90
    3
        
  • 42y8, 60x5y2
    6y2
        
16.   Factor the following polynomials:
  • 15x3 + 12x2 - 27x
    15x(x - 1)(x +
    9
    5
    )
        
  • x2 + x - 30
    (x - 5)(x + 6)
        
  • x4 + 7x3 - 98x2
    x2(x + 14)(x - 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    -6


        
  • x =
    0
    ,
    -14

    and
    7
        
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:
  • 15, 32, 28, 9, 20, 36, 26, 11, 7, 10
        
20.   A bag contains 2 blue balls, 6 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    27.27%
        
  • A blue ball or red ball?
    72.73%
        
  • Two red balls?
    29.75%
        
  • A blue ball and a white ball?
    4.96%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -16
    x - y = -19
    A(-17.5,1.5)
        
  • 9x - 12y = 12
    2x + 4y = 16

    B(4,2)
        
22.   Write the following fractions in simplest form:
  • 60x5y3
    20x2y
    3x3y2
        
  • (x + 4)
    (x2 + 8x + 16)
    1
    x + 4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 11x - 42 = -x2
    x1 = 3,   x2 = -14
        
24.   Convert the following repeating decimal into a fraction:
  • x = 5.330
    5277
    990
        
25.   Solve the following equation:
  • 20
    x
    = 2
    x = 5
        
26.   Rationalize the denominator of each fraction below:
  • 10
    5
    7 +
    14
    14
    5
    - 2
    70
    7
        
27.   Use a trigonometric ratio to find x:
x = 15.59 cm
    
28.   The sum of two consecutive even integers is 62. What are the integers? (Hint: use 2x as the first even integer)
a=30, b=32
    
29.   After you leave your house, you walk 5 blocks south and 12 blocks east. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   The length of a rectangle is 2 more than twice its width. The area of the rectangle is 60m2. What is the length and width of the rectangle?
  • width = 5,  length = 12
        


To print this algebra practice test, click here.



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