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:   13 and 7? 91
    
2.   Add:   15 and -6? 9
    
3.   Divide:   18 and -3? -6
    
4.   Substract:   7 and 13? -6
    
5.   Calculate: |-2 + 17 · -9| 155
    
6.   Simplify the following expressions:
  • 13x + 1x – 7 -7+14x
        
  • 5y + -14x + -13 + 12 -1-14x+5y
        
  • -8 – -3y + -5z + -8x – 19y + -4 -12-8x-16y-5z
        
  • x6 × y6 x6 × y6
        
  • x7
    x-8
    x15
        
  • (3x5)5 243x25
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × p = m × ( n × p )
  • -2 × 1 = -2
  • a + b = b + a
  • m × ( n + 4 ) = mn + 4n
A
    
8.   Which properties are illustrated by the following three expressions?
  • -4 × (p + q) = (p + q) × -4
  • x + 4 × 2 = 4 × 2 + x
  • a + ( b + c ) = ( a + b ) + c
  • Commutative property of addition, Identity property of addition and Associative property of addition
  • Commutative property of multiplication, Commutative property of addition and Associative property of addition
  • Associative property of multiplication, Commutative property of addition and Commutative property of multiplication
  • Identity property of multiplication, Commutative property of multiplication and Commutative property of addition
B
    
9.   Solve the following equations for x:
  • -x + 69 = -75 x = 144
        
  • 5
    23
    = -
    1
    23
    x x = -5
        
  • -40 = -19x + -97 x = -3
        
  • e = -bx x = -e/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 35 ≤ 32 x ≥ -67
        
  • x ≠ 121
  • 66 ≥ x ≤ -54
  • -
    38
    19
    x ≤ -34 x ≥ 17
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000743 7.43 × 10-10
        
  • 3280000 3.28 × 106
        
12.   Add the following polynomials:
  • -3z6 + -11z5 + 10z4  and  -4z6 + -3z5 + 7z4
    -7z6 + -14z5 + 17z4
        
  • -12z19 + 6z6 + 15z5 + 8z2  and  14z20 + -6z19 + 3z14 + 1z5 14z20 + -18z19 + 3z14 + 6z6 + 16z5 + 8z2
        
13.   Multiply the following polynomials and simplify:
  • 8x5(2x3 + 10x2 + 10)
    16x8 + 80x7 + 80x5
        
  • (1x5 + x4 + 10x3)(6x5 + 3x4 + 8)
    6x10 + 9x9 + 63x8 + 30x7 + 8x5 + 8x4 + 80x3
        
14.   Divide:
  • x3 - 9x2 - 9x + 81 / x - 9
    x2 - 9
        
15.   Find the greatest common factor of the following terms:
  • 13, 72
    1
        
  • 12x9y4, 30y2
    6y2
        
16.   Factor the following polynomials:
  • 45x3 - 60x2 - 60x
    45x(x +
    2
    3
    )(x - 2)
        
  • x2 + 18x + 81
    (x + 9)(x + 9)
        
  • x7 - 8x6 - 84x5
    x5(x - 14)(x + 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -9
    and
    -9


        
  • x =
    0
    ,
    14

    and
    -6
        
18.   You have 3 pants, 5 shirts, and 4 shoes. How many different ways can you dress?
  • 60
        
19.   Use the following data to construct a box and whiskers plot:
  • 36, 12, 37, 21, 4, 39, 1
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 17
  • What is the probability of getting heads and 7?
    2.94%
        
  • What is the probability of getting tails and an odd number?
    23.53%
        
  • What is the probability of getting heads and a multiple of 5?
    8.82%
        
  • What is the probability of getting tails and a prime number?
    20.59%
        
  • What is the probability of not tails and not 12?
    47.06%
        
  • 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 heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 19
    x - y = -14
    A(2.5,16.5)
        
  • 2x - 9y = -13
    8x + 2y = -14

    B(-2,1)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 5)7
    (x - 5)4
    (x - 5)3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 16x = x2 + 39
    x1 = 13,   x2 = 3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.4337
    4294
    9900
        
25.   Solve the following equation:
  • 14
    x
    = 8
    x =
    196
    64
        
26.   Rationalize the denominator of each fraction below:
  • 14
    7
    15 +
    21
    105
    7
    - 49
    3
    102
        
27.   Use a trigonometric ratio to find x:
x = 23.09 cm
    
28.   The sum of two consecutive odd integers is 20. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=9, b=11
    
29.   After you leave your house, you walk 8 blocks north and 15 blocks east. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   The length of a rectangle is 7 less than 7 times the width. What are the dimensions of the rectangle if the area is 42ft2?
  • width = 3,  length = 14
        


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:   -19 and 18? -342
    
2.   Add:   -5 and -19? -24
    
3.   Divide:   -16 and -2? 8
    
4.   Substract:   18 and 15? 3
    
5.   Calculate: |-2 · 15 + -7 · -9| 33
    
6.   Simplify the following expressions:
  • 9x – 8x + -13x -12x
        
  • -6 – 9 + -2x + -19y -15-2x-19y
        
  • -17y + -7 + 11 + 18y – 15y – 8z 4-14y-8z
        
  • y2 × x20 × y14 x20 × y16
        
  • x1
    x-11
    x12
        
  • (6x2)4 1296x8
        
7.   Which of the following expressions show the associative property?
  • 5 + 6m + 8
  • ( 6 + 3 ) + 5 = 6 + ( 3 + 5 )
  • 10x + -5 = -5 + 10x
  • ( m + n ) × 9 = 9 × ( m + n )
B
    
8.   Which properties are illustrated by the following three expressions?
  • ( s × 1 ) × r = s × ( 1 × r )
  • 0 + q + 4 = q + 4
  • ( e + f ) + d = e + ( f + d )
  • Associative property of multiplication, Identity property of addition and Associative property of addition
  • Associative property of addition, Commutative property of addition and Identity property of multiplication
  • Associative property of addition, Identity property of addition and Identity property of multiplication
  • Commutative property of addition, Associative property of addition and Commutative property of multiplication
A
    
9.   Solve the following equations for x:
  • -21 = -x – -26 x = 47
        
  • -
    24
    19
    =
    8
    19
    x x = -3
        
  • 93 = -10x – -13 x = -8
        
  • -gx + f = c x = (f-c)/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 4x + 36 ≥ -28 x ≥ -16
        
  • x ≠ -414
  • 15 > x < 63
  • 36
    12
    x ≥
    24
    8
    x ≥ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000469 4.69 × 10-5
        
  • 240000000 2.4 × 108
        
12.   Add the following polynomials:
  • -2z6 + 6z5 + -12  and  -14z10 + -9z6 + 12z5 + -2
    -14z10 + -11z6 + 18z5 + -14
        
  • -13z10 + -7z9 + -6z7 + -5z2  and  9z15 + -5z10 + -7z7 + 13z2 9z15 + -18z10 + -7z9 + -13z7 + 8z2
        
13.   Multiply the following polynomials and simplify:
  • (8x5 + 5x4)(1x3 + 1)
    8x8 + 5x7 + 8x5 + 5x4
        
  • (10x2 + 2)(9x5 + 5x4 + 7x)
    90x7 + 50x6 + 18x5 + 10x4 + 70x3 + 14x
        
14.   Divide:
  • 3x3 + 2x2 - 3x - 2 / 3x + 2
    x2 - 1
        
15.   Find the greatest common factor of the following terms:
  • 27, 66
    3
        
  • 60y5, 55x10y2, 63x3y6
    y2
        
16.   Factor the following polynomials:
  • 70x4 + 86x3 - 72x2
    70x2(x -
    4
    7
    )(x +
    9
    5
    )
        
  • x2 + 9x + 14
    (x + 7)(x + 2)
        
  • x5 - 2x4 - 48x3
    x3(x - 8)(x + 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -7
    and
    -2


        
  • x =
    0
    ,
    8

    and
    -6
        
18.   You have 5 pants, 3 shirts, and 5 shoes. How many different ways can you dress?
  • 75
        
19.   Use the following data to construct a box and whiskers plot:
  • 40, 34, 38, 28, 31, 27, 36, 26, 13
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 12
  • What is the probability of getting heads and 12?
    4.17%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 6?
    8.33%
        
  • What is the probability of getting tails and a prime number?
    20.83%
        
  • What is the probability of not tails and not 5?
    45.83%
        
  • 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 = 13
    x - y = -14
    A(-0.5,13.5)
        
  • 7x - 2y = 5
    8x + 6y = -7

    B(0.28,-1.53)
        
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 + 4x = 5
    x1 = -5,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.3993
    3990
    9990
        
25.   Solve the following equation:
  • 15
    x
    + 10 = 16
    x
    - 12
    x = 484
        
26.   Rationalize the denominator of each fraction below:
  • 7
    12
    7
    3
    6
        
27.   Use a trigonometric ratio to find x:
x = 29.44 cm
    
28.   The sum of two consecutive odd integers is 52. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=25, b=27
    
29.   After you leave your house, you walk 8 blocks east and 6 blocks north. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   The length of a rectangle is 3 more than thrice its width. The area of the rectangle is 396ft2. What is the length and width of the rectangle?
  • width = 11,  length = 36
        


To print this algebra practice test, click here.



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