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:   18 and -5? -90
    
2.   Add:   14 and 18? 32
    
3.   Divide:   13 and -1? -13
    
4.   Substract:   12 and -5? 17
    
5.   Calculate: |-7 · -16 + -9| 103
    
6.   Simplify the following expressions:
  • 17 – 15x + -13x 17-28x
        
  • -3y + -3 + 2x – 2y -3+2x-5y
        
  • -17z + -14z + 9z – 11z – -9x 9x-33z
        
  • y-7 × y-8 × x-2 × y6 x-2 × y-9
        
  • x-19
    x-5
    x-14
        
  • (10x)5 100000x5
        
7.   Which of the following expressions show the associative property?
  • ( 10 + 2 ) × -3 = -3 × ( 10 + 2 )
  • ( m × n ) × 9 = m × ( n × 9 )
  • ( m + n ) × 8 = 8 × ( m + n )
  • 8 + 2j + 5
B
    
8.   Which properties are illustrated by the following three expressions?
  • ( y + 0 ) × x = y × x + 0 × x
  • -16 + 16 × -10 = 16 × -10 + -16
  • (c + 4) × 1 = c + 4
  • Distributive property, Commutative property of addition and Identity property of multiplication
  • Associative property of addition, Commutative property of multiplication and Associative property of multiplication
  • Identity property of addition, Distributive property and Associative property of addition
  • Commutative property of addition, Identity property of multiplication and Identity property of addition
A
    
9.   Solve the following equations for x:
  • -86 = x – 49 x = -37
        
  • 1
    15
    x =
    20
    15
    x = 20
        
  • -50 = 56 + 2x x = -53
        
  • -f + g = ax x = (-f+g)/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -29x – -30 > -28 x < 2
        
  • x ≠ 471
  • -24 < x < -91
  • 24
    8
    x < 9 x < 3
        
11.   Convert the following numbers into scientific notation:
  • 0.000000414 4.14 × 10-7
        
  • 5570000 5.57 × 106
        
12.   Add the following polynomials:
  • -8z10 + 13z1  and  -11z10 + -2z7 + 10z6 + 9z2 + -15z1
    -19z10 + -2z7 + 10z6 + 9z2 + -2z1
        
  • -8z17 + 10z15 + -12z14 + -13z4 + 2  and  10z17 + -12z4 + 8 2z17 + 10z15 + -12z14 + -25z4 + 10
        
13.   Multiply the following polynomials and simplify:
  • (9x2 + 3)(1x3 + x2 - 9)
    9x5 + 9x4 + 3x3 - 78x2 - 27
        
  • (7x4 + 10x2 - 7)(4x4 + 4x3)
    28x8 + 28x7 + 40x6 + 40x5 - 28x4 - 28x3
        
14.   Divide:
  • 15x2 + 4x + 21 / 3x + 2
    (5x - 2) with a remainder of 25
        
15.   Find the greatest common factor of the following terms:
  • 60, 30
    30
        
  • 45x6y2, 10x4y, 90x7y10
    5x4y
        
16.   Factor the following polynomials:
  • 3x4 + 8x3 - 3x2
    3x2(x + 3)(x -
    1
    3
    )
        
  • x2 - x - 6
    (x + 2)(x - 3)
        
  • x4 - 13x3 - 14x2
    x2(x - 14)(x + 1)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    3


        
  • x =
    0
    ,
    14

    and
    -1
        
18.   You have 8 books to read. How many different ways can you read your books?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 19, 13, 35, 24, 7, 18, 4, 25
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 10
  • What is the probability of getting tails and 7?
    5.00%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting heads and a multiple of 2?
    25%
        
  • What is the probability of getting tails and a prime number?
    20%
        
  • What is the probability of not heads and not 2?
    45%
        
  • What is the probability of getting not heads 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 = -11
    x - y = 4
    A(-3.5,-7.5)
        
  • x - 4y = 4
    2x + 4y = -16

    B(-4,-2)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 + 14x + 49)
    (x + 7)
    x + 7
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 7x = -12
    x1 = 3,   x2 = 4
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.54
    49
    90
        
25.   Solve the following equation:
  • 10
    x
    - 3 = 1
    x
    + 6
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 2
    14
    - 21
    -
    2
    14
    + 42
    427
        
27.   Use a trigonometric ratio to find x:
x = 18.48 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 12 blocks east and 5 blocks south. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   The length of a rectangle is 5 less than 5 times the width. What are the dimensions of the rectangle if the area is 280ft2?
  • width = 8,  length = 35
        


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:   16 and 16? 256
    
2.   Add:   -4 and 4? 0
    
3.   Divide:   8 and -4? -2
    
4.   Substract:   13 and -19? 32
    
5.   Calculate: |-10 + 15 · -15 + 4| 231
    
6.   Simplify the following expressions:
  • -14 + -13x + -10x -14-23x
        
  • 4x – -6x – -9x – 17y 19x-17y
        
  • -20z + 18x – 1 – -11x – 16 + 14z -17+29x-6z
        
  • x2 × x14 × y-18 × y-10 x16 × y-28
        
  • x7
    x11
    x-4
        
  • (7x4)3 343x12
        
7.   Which of the following expressions show the associative property?
  • -3 × ( x + 3 + 7 ) = -3×x + -3×3 + -3×7
  • ( m × n ) × p = m × ( n × p )
  • 8x + 10 = 10 + 8x
  • 5( 9 + 2 ) = 5×9 + 5×2
B
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + h + i + j = h + i + j
  • 1 + ( -19 + 15 ) = ( 1 + -19 ) + 15
  • p × ( q × r ) = ( p × q ) × r
  • Identity property of addition, Associative property of addition and Associative property of multiplication
  • Identity property of addition, Associative property of multiplication and Distributive property
  • Identity property of addition, Identity property of multiplication and Associative property of multiplication
  • Identity property of multiplication, Identity property of addition and Distributive property
A
    
9.   Solve the following equations for x:
  • x – -28 = 87 x = 59
        
  • -
    2
    29
    x =
    12
    29
    x = -6
        
  • -42 = 47x – 89 x = 1
        
  • gx = -a x = -a/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 4x + -32 ≥ -40 x ≥ -2
        
  • x ≠ 53
  • -22 > x > -2
  • -
    21
    3
    x ≥ -
    14
    2
    x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000534 5.34 × 10-9
        
  • 190000 1.9 × 105
        
12.   Add the following polynomials:
  • 7z9 + 6z4 + 6z3 + -6  and  4z9 + 6z4 + -5
    11z9 + 12z4 + 6z3 + -11
        
  • -5z20 + 11z5 + 7z2  and  14z20 + -5z5 + -12z2 9z20 + 6z5 + -5z2
        
13.   Multiply the following polynomials and simplify:
  • 7x5(1x5 + 10x4)
    7x10 + 70x9
        
  • (5x5 + x2 + 5x)(5x5 + 6x4)
    25x10 + 30x9 + 5x7 + 31x6 + 30x5
        
14.   Divide:
  • 4x2 + 26x - 48 / x + 8
    4x - 6
        
15.   Find the greatest common factor of the following terms:
  • 36, 84
    12
        
  • 39x2y3, 80x7y2, 52x6y8
    x2y2
        
16.   Factor the following polynomials:
  • 68x5 + 34x4 - 34x3
    68x3(x -
    1
    2
    )(x + 1)
        
  • x2 + 0x - 36
    (x - 6)(x + 6)
        
  • x8 + 0x7 - 36x6
    x6(x - 6)(x + 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    6
    and
    -6


        
  • x =
    0
    ,
    6

    and
    -6
        
18.   You have 6 books to read. How many different ways can you read your books?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 26, 25, 30, 12, 21, 2, 35, 38, 39
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 11
  • What is the probability of getting heads and 4?
    4.55%
        
  • What is the probability of getting tails and an odd number?
    22.73%
        
  • What is the probability of getting heads and a multiple of 5?
    9.09%
        
  • What is the probability of getting heads and a prime number?
    22.73%
        
  • What is the probability of not tails and not 10?
    45.45%
        
  • What is the probability of getting not heads 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 = 6
    x - y = 8
    A(7,-1)
        
  • 5x - 7y = -16
    2x + 8y = -8

    B(-3.41,-0.15)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x8 + 7x7 + 10x6
    x4(x + 2)
    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 + 15 = 8x
    x1 = 3,   x2 = 5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.7
    7
    9
        
25.   Solve the following equation:
  • 3 -
    2x + 5
    = -14
    x = 142
        
26.   Rationalize the denominator of each fraction below:
  • 4
    6
    - 1
    4
    6
    + 4
    5
        
27.   Use a trigonometric ratio to find x:
x = 32.91 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 15 blocks south and 8 blocks east. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   The sides of a square are increased by 4 m. The area of the newly created square is 256m2. What was the original length of one side of the square?
  • 12 m
        


To print this algebra practice test, click here.



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