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:   17 and -13? -221
    
2.   Add:   7 and 12? 19
    
3.   Divide:   -14 and -14? 1
    
4.   Substract:   -6 and -5? -1
    
5.   Calculate: |11 + 18 · -19 + 6| 325
    
6.   Simplify the following expressions:
  • 5x + -9x – -13 13-4x
        
  • -3x + -13y + -9 + -20x -9-23x-13y
        
  • -5z + -5z – 18 – -10z – 12y + 17z -18-12y+17z
        
  • x17 × x6 × x-10 × y-16 x13 × y-16
        
  • x-8
    x-7
    x-1
        
  • (5x2)8 390625x16
        
7.   Which of the following expressions show the associative property?
  • 8 × 1 = 8
  • ( 5 × 8 ) × 7 = 5 × ( 8 × 7 )
  • 7 × ( y + 9 + 6 ) = 7×y + 7×9 + 7×6
  • 0 + -7x = -7x
B
    
8.   Which properties are illustrated by the following three expressions?
  • y × ( 7 + -1 ) = y × 7 + y × -1
  • (y + 7) × (x + -1) = (x + -1) × (y + 7)
  • 13 + 5x = 5x + 13
  • Distributive property, Associative property of multiplication and Commutative property of addition
  • Identity property of addition, Distributive property and Associative property of multiplication
  • Associative property of addition, Commutative property of addition and Identity property of addition
  • Distributive property, Commutative property of multiplication and Commutative property of addition
D
    
9.   Solve the following equations for x:
  • 30 = 87 – -x x = -57
        
  • 2
    17
    x = -
    26
    17
    x = -13
        
  • 98 = -8 + -106x x = -1
        
  • b = fx x = b/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -34x + -30 ≤ 4 x ≥ -1
        
  • x ≠ 365
  • -30 > x ≤ -83
  • 40
    8
    x ≥ -
    20
    2
    x ≥ -2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000697 6.97 × 10-5
        
  • 9620000000 9.62 × 109
        
12.   Add the following polynomials:
  • -7z9 + -4z8 + -15z7 + 9z3 + 14z1  and  8z8 + 12z7 + 15z3
    -7z9 + 4z8 + -3z7 + 24z3 + 14z1
        
  • -14z8 + 5z4 + 7  and  -3z10 + 7z7 + 1z4 + 14z3 -3z10 + -14z8 + 7z7 + 6z4 + 14z3 + 7
        
13.   Multiply the following polynomials and simplify:
  • (3x3 - 9)2
    6x3 - 18
        
  • (8x5 + 9x4 + 8x2)(5x4 + 8x2 + 9x)
    40x9 + 45x8 + 64x7 + 184x6 + 81x5 + 64x4 + 72x3
        
14.   Divide:
  • 5x2 + 18x + 16 / x + 2
    5x + 8
        
15.   Find the greatest common factor of the following terms:
  • 75, 54, 63
    3
        
  • 75x8y5, 66x9y9
    3x8y5
        
16.   Factor the following polynomials:
  • x3 + 11x2 + 24x
    x(x + 8)(x + 3)
        
  • x2 + 3x - 40
    (x - 5)(x + 8)
        
  • x9 + 0x8 - 49x7
    x7(x - 7)(x + 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    -8


        
  • x =
    0
    ,
    7

    and
    -7
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one or two scoops. Flavors can be chocolate or vanilla. How many choices do you have?
  • 8
        
19.   Use the following data to construct a box and whiskers plot:
  • 38, 8, 36, 32, 25, 17, 34, 37
        
20.   A bag contains 5 blue balls, 6 red balls, and 6 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    35.29%
        
  • A blue ball or red ball?
    64.71%
        
  • Two red balls?
    12.46%
        
  • A blue ball and a white ball?
    10.38%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 7
    x - y = -18
    A(-5.5,12.5)
        
  • 2x - 8y = -12
    x + 2y = -18

    B(-14,-2)
        
22.   Write the following fractions in simplest form:
  • 25x3y8
    100x10y7
    y
    4x7
        
  • x6(x + 1)
    x4 - 3x3 - 4x2
    x4
    (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 - 45 = -4x
    x1 = -9,   x2 = 5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 2.932
    2930
    999
        
25.   Solve the following equation:
  • -12
    x
    - 4 = -10
    x
    - 8
    x = 4
        
26.   Rationalize the denominator of each fraction below:
  • 10
    14 -
    15
    140 + 10
    15
    181
        
27.   Use a trigonometric ratio to find x:
x = 9.24 cm
    
28.   The sum of two consecutive odd integers is 40. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=19, b=21
    
29.   After you leave your house, you walk 12 blocks north and 16 blocks east. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   Each side of a square is decreased by 9 ft. The area of the newly created square is 121ft2. What was the original length of one side of the square?
  • 20 ft
        


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 -13? 52
    
2.   Add:   -4 and 19? 15
    
3.   Divide:   12 and 6? 2
    
4.   Substract:   4 and -18? 22
    
5.   Calculate: |17 + 19 · 12 + 15| 260
    
6.   Simplify the following expressions:
  • 10x + 7 + 20x 7+30x
        
  • -1x – -5 + -17y + 9 14-1x-17y
        
  • 13z – -19z + 5y + 20x + -12y + -5x 15x-7y+32z
        
  • x8 × y2 x8 × y2
        
  • x-12
    x7
    x-19
        
  • (9x3)5 59049x15
        
7.   Which of the following expressions show the associative property?
  • j × ( k + 5 ) = jk + 5k
  • ( x × y ) × z = x × ( y × z )
  • a + b = b + a
  • 1 × 1 = 1
B
    
8.   Which properties are illustrated by the following three expressions?
  • (v + w + x) × 1 = v + w + x
  • 0 + j + k + l = j + k + l
  • ( n × 1 ) × m = n × ( 1 × m )
  • Identity property of multiplication, Distributive property and Commutative property of multiplication
  • Identity property of addition, Commutative property of addition and Distributive property
  • Identity property of multiplication, Identity property of addition and Associative property of multiplication
  • Associative property of multiplication, Associative property of addition and Distributive property
C
    
9.   Solve the following equations for x:
  • -26 = x – -100 x = -126
        
  • 23
    14
    = -
    1
    14
    x x = -23
        
  • 7 = -82 + -89x x = -1
        
  • d = gx + c x = (d-c)/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + 32 ≥ 19 x ≤ 13
        
  • x ≠ -211
  • 42 < x ≤ -79
  • 39x ≥ -39 x ≥ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000804 8.04 × 10-9
        
  • 707000000000 7.07 × 1011
        
12.   Add the following polynomials:
  • -4z10 + 13z6 + -2z5 + 11z2  and  -10z10 + 6z6 + -6z5 + -10z2
    -14z10 + 19z6 + -8z5 + 1z2
        
  • 8z9 + 2z8 + -6z1  and  -13z9 + 14z8 + -7z7 + 7z1 -5z9 + 16z8 + -7z7 + 1z1
        
13.   Multiply the following polynomials and simplify:
  • (8x5 + 2x3 + 2x2)8x4
    64x9 + 16x7 + 16x6
        
  • (3x3 - 9)(8x4 + 4x3 + 10)
    24x7 + 12x6 - 72x4 - 6x3 - 90
        
14.   Divide:
  • 12x2 - 54x + 60 / 4x - 10
    3x - 6
        
15.   Find the greatest common factor of the following terms:
  • 27, 88
    1
        
  • 10x10, 24x6y10, 42x7y
    2x6
        
16.   Factor the following polynomials:
  • 36x5 - 54x4 + 16x3
    36x3(x -
    9 +
    17
    12
    )(x -
    9 -
    17
    12
    )
        
  • x2 - x - 56
    (x - 8)(x + 7)
        
  • x6 + 11x5 - 26x4
    x4(x - 2)(x + 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    8
    and
    -7


        
  • x =
    0
    ,
    2

    and
    -13
        
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 or strawberry. How many choices do you have?
  • 18
        
19.   Use the following data to construct a box and whiskers plot:
  • 24, 25, 39, 15, 23, 6, 19, 28, 29, 37
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 7
  • What is the probability of getting tails and 4?
    7.14%
        
  • What is the probability of getting heads and an odd number?
    21.43%
        
  • What is the probability of getting heads and a multiple of 2?
    21.43%
        
  • What is the probability of getting tails and a prime number?
    28.57%
        
  • What is the probability of not tails and not 5?
    42.86%
        
  • 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 = -1
    x - y = 8
    A(3.5,-4.5)
        
  • 6x - y = 19
    6x + 2y = 12

    B(2.78,-2.33)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x2(x - 3)
    x6 - 8x5 + 15x4
    1
    x2(x - 5)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 9x = -18
    x1 = -3,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.52
    52
    99
        
25.   Solve the following equation:
  • 20
    x
    = 2
    x = 5
        
26.   Rationalize the denominator of each fraction below:
  • 5
    3
    + 35
    -
    5
    3
    - 175
    1222
        
27.   Use a trigonometric ratio to find x:
x = 15.50 cm
    
28.   The sum of two consecutive odd integers is 24. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=11, b=13
    
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 decreased by 10 ft. The area of the newly created square is 81ft2. What was the original length of one side of the square?
  • 19 ft
        


To print this algebra practice test, click here.



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