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:   8 and -17? -136
    
2.   Add:   -12 and 5? -7
    
3.   Divide:   -3 and -3? 1
    
4.   Substract:   8 and 4? 4
    
5.   Calculate: |4 · -4 + 8| 8
    
6.   Simplify the following expressions:
  • -8x – -15 + 5 20-8x
        
  • 19 + -10y – -11y – -12x 19+12x+1y
        
  • 2 + 10z – 14 – 9x + -2z -12-9x+8z
        
  • y-16 × x5 × x12 x17 × y-16
        
  • x15
    x5
    x10
        
  • (6x5)10 60466176x50
        
7.   Which of the following expressions show the associative property?
  • 0 + 10x = 10x
  • a + b = b + a
  • e × ( f + 7 ) = ef + 7f
  • ( m × n ) × 2 = m × ( n × 2 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • g × ( h + i ) = g × h + g × i
  • e + f + 6 = 6 + e + f
  • 5 + ( -12 + 19 ) = ( 5 + -12 ) + 19
  • Distributive property, Commutative property of addition and Associative property of addition
  • Commutative property of addition, Commutative property of multiplication and Associative property of addition
  • Commutative property of multiplication, Identity property of addition and Distributive property
  • Commutative property of multiplication, Distributive property and Associative property of multiplication
A
    
9.   Solve the following equations for x:
  • 60 = -49 + x x = 109
        
  • -
    10
    13
    =
    1
    13
    x x = -10
        
  • 4x + 55 = 47 x = -2
        
  • f + ax = -e x = (-f-e)/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – -18 ≤ -20 x ≥ 38
        
  • x ≠ 250
  • 1 ≥ x ≤ 21
  • 33
    11
    x >
    36
    3
    x > 4
        
11.   Convert the following numbers into scientific notation:
  • 0.00000366 3.66 × 10-6
        
  • 40500 4.05 × 104
        
12.   Add the following polynomials:
  • -9z10 + -6z7 + -6z4 + 13z1  and  9z10 + 13z7 + -7z4
    7z7 + -13z4 + 13z1
        
  • 11z12 + 4z11 + 10z4  and  -5z12 + 13z11 + 12z4 6z12 + 17z11 + 22z4
        
13.   Multiply the following polynomials and simplify:
  • 7x3(10x4 + 8x - 9)
    70x7 + 56x4 - 63x3
        
  • (10x2 + 10x + 8)(8x3 + 6x2 + x)
    80x5 + 140x4 + 134x3 + 58x2 + 8x
        
14.   Divide:
  • 4x3 - 24x2 + x + 4 / x - 6
    (4x2 + 1) with a remainder of 10
        
15.   Find the greatest common factor of the following terms:
  • 72, 42, 45
    3
        
  • 55x6y8, 100x8
    5x6
        
16.   Factor the following polynomials:
  • 16x3 + 32x2 + 14x
    16x(x -
    -4 +
    2
    4
    )(x -
    -4 -
    2
    4
    )
        
  • x2 - 8x + 7
    (x - 1)(x - 7)
        
  • x5 + 2x4 - 195x3
    x3(x + 15)(x - 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    1
    and
    7


        
  • x =
    0
    ,
    -15

    and
    13
        
18.   You have 2 pants, 4 shirts, and 2 shoes. How many different ways can you dress?
  • 16
        
19.   Use the following data to construct a box and whiskers plot:
  • 18, 11, 9, 40, 27, 21, 23, 39
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 6
  • What is the probability of getting tails and 5?
    8.33%
        
  • What is the probability of getting heads and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 2?
    25%
        
  • What is the probability of getting heads and a prime number?
    25%
        
  • What is the probability of not heads and not 4?
    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 = 9
    x - y = 18
    A(13.5,-4.5)
        
  • 3x - 2y = 10
    4x + 3y = -1

    B(1.65,-2.53)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 + 2x + 1)
    (x + 1)
    x + 1
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 12 = x
    x1 = 4,   x2 = -3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.43
    39
    90
        
25.   Solve the following equation:
  • 14
    x
    = 12
    x =
    196
    144
        
26.   Rationalize the denominator of each fraction below:
  • 35
    30
    9
    12
    35
    10
    18
        
27.   Use a trigonometric ratio to find x:
x = 28.28 cm
    
28.   The sum of two consecutive odd integers is 16. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=7, b=9
    
29.   After you leave your house, you walk 12 blocks north and 9 blocks west. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has a width that is 7 ft less than its length. The area of the rectangle is 8ft2. What are the dimensions of the rectangle?
  • width = 1,  length = 8
        


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:   -20 and 8? -160
    
2.   Add:   12 and 3? 15
    
3.   Divide:   -20 and 10? -2
    
4.   Substract:   -8 and -15? 7
    
5.   Calculate: |-11 + 8 · 1| 3
    
6.   Simplify the following expressions:
  • 19 + 2x + -9x 19-7x
        
  • -18 + 2y + 14 – -3x -4+3x+2y
        
  • -4x + 13 – 8x + -5z – -2z 13-12x-3z
        
  • x-7 × x-3 × x-8 × x-9 x-27
        
  • x5
    x3
    x2
        
  • (3x3)7 2187x21
        
7.   Which of the following expressions show the associative property?
  • ( 2 × -1 ) + 7 = 7 + ( 2 × -1 )
  • ( m + n ) + 5 = m + ( n + 5 )
  • a + b = b + a
  • 0 + -10x = -10x
B
    
8.   Which properties are illustrated by the following three expressions?
  • -15 + 0 = -15
  • r × ( s × t ) = ( r × s ) × t
  • -4 × 19 + 8 = 8 + -4 × 19
  • Identity property of addition, Associative property of multiplication and Commutative property of addition
  • Distributive property, Commutative property of addition and Identity property of addition
  • Commutative property of multiplication, Distributive property and Identity property of addition
  • Distributive property, Commutative property of addition and Commutative property of multiplication
A
    
9.   Solve the following equations for x:
  • x · -2 = -76 x = 38
        
  • 3
    12
    x = -
    6
    24
    x = -1
        
  • 99 + -73x = 26 x = 1
        
  • e = fx x = e/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – -25 ≤ 27 x ≤ 2
        
  • x ≠ -611
  • -35 > x < -23
  • 38
    19
    x ≤ -18 x ≤ -9
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000442 4.42 × 10-9
        
  • 828000000 8.28 × 108
        
12.   Add the following polynomials:
  • 4z6 + 3z1 + -14  and  -12z6 + 1z5 + 1z3 + 3z1 + 13
    -8z6 + 1z5 + 1z3 + 6z1 + -1
        
  • 4z18 + -13z17 + 5z4 + -15z1 + -6  and  14z18 + 11z17 + 6z3 + -2 18z18 + -2z17 + 5z4 + 6z3 + -15z1 + -8
        
13.   Multiply the following polynomials and simplify:
  • (2x4 + 5x3)(8x5 + 10x - 7)
    16x9 + 40x8 + 20x5 + 36x4 - 35x3
        
  • (10x5 + 10x3)(10x4 + 5x2 + 10x)
    100x9 + 150x7 + 100x6 + 50x5 + 100x4
        
14.   Divide:
  • 10x2 - 49x + 18 / 2x - 9
    5x - 2
        
15.   Find the greatest common factor of the following terms:
  • 50, 60, 45
    5
        
  • 44x10y, 84x9y10
    4x9y
        
16.   Factor the following polynomials:
  • 16x4 + 68x3 + 69x2
    16x2(x -
    -17 +
    13
    8
    )(x -
    -17 -
    13
    8
    )
        
  • x2 + 10x + 9
    (x + 1)(x + 9)
        
  • x4 + 9x3 + 20x2
    x2(x + 4)(x + 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -1
    and
    -9


        
  • x =
    0
    ,
    -4

    and
    -5
        
18.   You have 7 books to read. How many different ways can you read your books?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 28, 21, 29, 40, 30, 16, 11, 32
        
20.   A bag contains 4 blue balls, 7 red balls, and 2 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    15.38%
        
  • A blue ball or red ball?
    84.62%
        
  • Two red balls?
    26.92%
        
  • A blue ball and a white ball?
    5.13%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 11
    x - y = 16
    A(13.5,-2.5)
        
  • x - 3y = 2
    9x + 5y = 6

    B(0.88,-0.38)
        
22.   Write the following fractions in simplest form:
  • 16x9y3
    32x10y4
    1
    2xy
        
  • x7 + 2x6 - 3x5
    x(x - 1)
    x4(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.
  • 7x = x2 + 6
    x1 = 1,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.13
    12
    90
        
25.   Solve the following equation:
  • -13
    x
    + 2 = -20
    x
    + 9
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 5
    15 +
    21
    75 - 5
    21
    204
        
27.   Use a trigonometric ratio to find x:
x = 15.56 cm
    
28.   The sum of two consecutive even integers is 14. What are the integers? (Hint: use 2x as the first even integer)
a=6, b=8
    
29.   After you leave your house, you walk 9 blocks west and 12 blocks south. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   Each side of a square is decreased by 7 ft. The area of the newly created square is 9ft2. What was the original length of one side of the square?
  • 10 ft
        


To print this algebra practice test, click here.



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