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:   -11 and -5? 55
    
2.   Add:   -13 and -20? -33
    
3.   Divide:   18 and 3? 6
    
4.   Substract:   -8 and 13? -21
    
5.   Calculate: |-9 + -6 · -16 + -4| 83
    
6.   Simplify the following expressions:
  • 10x + 4 + -13 -9+10x
        
  • 9 – 2y + -18y – -16 25-20y
        
  • 8x + -9z + -17 – -2y – 14z – -12 -5+8x+2y-23z
        
  • x4 × y8 × y1 × y-1 x4 × y8
        
  • x-19
    x16
    x-35
        
  • (4x3)2 16x6
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × 7 = m × ( n × 7 )
  • j × ( k + 7 ) = jk + 7k
  • 10 × 1 = 10
  • 10 + 6c + 5
A
    
8.   Which properties are illustrated by the following three expressions?
  • ( -5 × -20 ) × -10 = -5 × ( -20 × -10 )
  • (i + 6) × 1 = i + 6
  • y × ( z + 1 ) = y × z + y × 1
  • Identity property of multiplication, Identity property of addition and Associative property of multiplication
  • Associative property of multiplication, Identity property of multiplication and Distributive property
  • Commutative property of addition, Associative property of addition and Commutative property of multiplication
  • Distributive property, Identity property of addition and Associative property of addition
B
    
9.   Solve the following equations for x:
  • 93 · x = -93 x = -1
        
  • 19
    17
    = -
    19
    17
    x x = -1
        
  • -41 = -71 + -30x x = -1
        
  • g = fx x = g/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 2x – -32 < -24 x < -28
        
  • x ≠ -683
  • 61 < x ≤ 91
  • 24
    12
    x < -
    36
    9
    x < -2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000198 1.98 × 10-5
        
  • 97600 9.76 × 104
        
12.   Add the following polynomials:
  • 2z8 + 11z3 + -3z2  and  -5z10 + -14z8 + 2z4 + -14z3 + -5z2
    -5z10 + -12z8 + 2z4 + -3z3 + -8z2
        
  • -8z13 + 9z10 + 13z3 + 9  and  -8z15 + 4z13 + 4z9 + -10z3 + 13z3 -8z15 + -4z13 + 9z10 + 4z9 + 16z3 + 9
        
13.   Multiply the following polynomials and simplify:
  • (4x3 + 3x)(4x5 + 8x)
    16x8 + 12x6 + 32x4 + 24x2
        
  • (8x4 + 10x3 + x2)(5x4 + 9x2)
    40x8 + 50x7 + 77x6 + 90x5 + 9x4
        
14.   Divide:
  • 9x2 + 33x + 28 / 3x + 7
    3x + 4
        
15.   Find the greatest common factor of the following terms:
  • 65, 60
    5
        
  • 45x10y5, 55x4y5
    5x4y5
        
16.   Factor the following polynomials:
  • 4x5 - 38x4 + 88x3
    4x3(x -
    11
    2
    )(x - 4)
        
  • x2 - 16x + 63
    (x - 9)(x - 7)
        
  • x4 + 19x3 + 70x2
    x2(x + 5)(x + 14)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    9
    and
    7


        
  • x =
    0
    ,
    -5

    and
    -14
        
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, strawberry or peach. How many choices do you have?
  • 32
        
19.   Use the following data to construct a box and whiskers plot:
  • 25, 23, 7, 16, 29, 26, 27
        
20.   A bag contains 5 blue balls, 4 red balls, and 6 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    40.00%
        
  • A blue ball or red ball?
    60.00%
        
  • Two red balls?
    5.71%
        
  • A blue ball and a white ball?
    14.29%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -1
    x - y = 4
    A(1.5,-2.5)
        
  • 9x - 4y = -18
    10x + 6y = 2

    B(-1.06,2.11)
        
22.   Write the following fractions in simplest form:
  • 12x2y3
    36x9y8
    1
    3x7y5
        
  • (x + 2)3
    (x + 2)4
    1
    x + 2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -x2 = -5x + 4
    x1 = 4,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.286
    258
    900
        
25.   Solve the following equation:
  • -15
    x
    + 6 = -5
    x
    - 4
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 35
    25
    7
        
27.   Use a trigonometric ratio to find x:
x = 13.50 cm
    
28.   The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=17, b=19
    
29.   After you leave your house, you walk 5 blocks north 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 6 more than twice its width. The area of the rectangle is 260m2. What is the length and width of the rectangle?
  • width = 10,  length = 26
        


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:   -10 and -3? 30
    
2.   Add:   -12 and 3? -9
    
3.   Divide:   -3 and 1? -3
    
4.   Substract:   16 and -16? 32
    
5.   Calculate: |-19 · -2 + 1 · 10| 48
    
6.   Simplify the following expressions:
  • 19 – -7x – -17 36+7x
        
  • 17x – -19x + 16 – -3y 16+36x+3y
        
  • 6z – 9y – 13x – -2y – 15z -13x-7y-9z
        
  • x-4 × x-7 × x-20 × x-1 x-32
        
  • x16
    x-4
    x20
        
  • (8x5)7 2097152x35
        
7.   Which of the following expressions show the associative property?
  • ( m + n ) + p = m + ( n + p )
  • 0 + 7x = 7x
  • 9 + 10r + 6
  • ( x + y ) × 6 = 6 × ( y + x )
A
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + i + 5 = i + 5
  • ( z + 0 ) × y = z × y + 0 × y
  • 11 + ( 5 + 4 ) = ( 11 + 5 ) + 4
  • Commutative property of multiplication, Identity property of multiplication and Commutative property of addition
  • Distributive property, Associative property of addition and Identity property of multiplication
  • Commutative property of multiplication, Identity property of multiplication and Distributive property
  • Identity property of addition, Distributive property and Associative property of addition
D
    
9.   Solve the following equations for x:
  • -69 = -x · -3 x = -23
        
  • 22
    6
    =
    11
    3
    x x = 1
        
  • 93 = 7x – -2 x = 13
        
  • g = fx x = g/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – 30 > 22 x > 52
        
  • x ≠ 183
  • 17 ≤ x < -4
  • -
    12
    4
    x ≥ -21 x ≤ 7
        
11.   Convert the following numbers into scientific notation:
  • 0.00000417 4.17 × 10-6
        
  • 10800000000 1.08 × 1010
        
12.   Add the following polynomials:
  • -6z9 + 13z7 + -2z3 + -2z2 + 12z1  and  4z9 + 8z2 + -6z1
    -2z9 + 13z7 + -2z3 + 6z2 + 6z1
        
  • 13z20 + -3z14 + -7z2 + -1  and  -15z20 + 1z14 + -15z2 -2z20 + -2z14 + -22z2 + -1
        
13.   Multiply the following polynomials and simplify:
  • 7x2(4x + 8)
    28x3 + 56x2
        
  • (4x5 + 8x4 + 7x3)(9x4 + 5x + 9)
    36x9 + 72x8 + 63x7 + 20x6 + 76x5 + 107x4 + 63x3
        
14.   Divide:
  • 8x3 + 16x2 + 24x + 48 / 4x + 8
    2x2 + 6
        
15.   Find the greatest common factor of the following terms:
  • 12, 84
    12
        
  • 52y5, 25y
    y
        
16.   Factor the following polynomials:
  • 60x3 + 28x2 + 2x
    60x(x -
    -7 +
    19
    30
    )(x -
    -7 -
    19
    30
    )
        
  • x2 - 3x - 10
    (x + 2)(x - 5)
        
  • x8 - 2x7 - 99x6
    x6(x - 11)(x + 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    5


        
  • x =
    0
    ,
    11

    and
    -9
        
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, strawberry, peach or kiwi. How many choices do you have?
  • 40
        
19.   Use the following data to construct a box and whiskers plot:
  • 13, 38, 24, 19, 33, 28, 4, 5
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 8
  • What is the probability of getting tails and 2?
    6.25%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting heads and a multiple of 3?
    12.5%
        
  • What is the probability of getting heads and a prime number?
    25%
        
  • What is the probability of not tails and not 3?
    43.75%
        
  • 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 = -19
    A(-3.5,15.5)
        
  • x - 6y = -15
    2x + 8y = 14

    B(-1.8,2.2)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 + 16x + 64)
    (x + 8)
    x + 8
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 16x + 39 = -x2
    x1 = -3,   x2 = -13
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.39
    39
    99
        
25.   Solve the following equation:
  • 2 +
    3x - 2
    = 6
    x = 6
        
26.   Rationalize the denominator of each fraction below:
  • 49
    6
    49
    6
    6
        
27.   Use a trigonometric ratio to find x:
x = 15.50 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 6 blocks east and 8 blocks north. 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 144ft2. What is the length and width of the rectangle?
  • width = 8,  length = 18
        


To print this algebra practice test, click here.



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