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:   12 and -19? -228
    
2.   Add:   -12 and 5? -7
    
3.   Divide:   -8 and 8? -1
    
4.   Substract:   19 and -11? 30
    
5.   Calculate: |7 + -2 · -17| 41
    
6.   Simplify the following expressions:
  • 16x + 16x – -10 10+32x
        
  • -5x + 11 – 14y + 17 28-5x-14y
        
  • -10 + -9y + 16x + -20y – 9z + -13z -10+16x-29y-22z
        
  • x-15 × y16 × y18 × y-8 x-15 × y26
        
  • x13
    x6
    x7
        
  • (10x2)7 10000000x14
        
7.   Which of the following expressions show the associative property?
  • 6 × ( y + 4 + 5 ) = 6×y + 6×4 + 6×5
  • 4( 8 + 3 ) = 4×8 + 4×3
  • ( m + n ) + p = m + ( n + p )
  • 0 + -7x = -7x
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( w + 0 ) + v = w + ( 0 + v )
  • 0 + k + l + m = k + l + m
  • s × ( t × u ) = ( s × t ) × u
  • Commutative property of addition, Identity property of addition and Associative property of addition
  • Distributive property, Commutative property of addition and Commutative property of multiplication
  • Associative property of addition, Identity property of addition and Associative property of multiplication
  • Commutative property of addition, Identity property of multiplication and Associative property of addition
C
    
9.   Solve the following equations for x:
  • x · 9 = -9 x = -1
        
  • -
    18
    22
    = -
    1
    11
    x x = 9
        
  • 34 – -6x = -86 x = -20
        
  • -gx – f = -d x = (-f+d)/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 2x + -28 ≤ -32 x ≤ -2
        
  • x ≠ -681
  • 35 ≤ x > -50
  • 12
    6
    x <
    12
    3
    x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000596 5.96 × 10-11
        
  • 644000000000 6.44 × 1011
        
12.   Add the following polynomials:
  • 3z7 + -10z5 + 13z2 + -2z1  and  -4z7 + -11z2
    -1z7 + -10z5 + 2z2 + -2z1
        
  • 3z20 + -4z15 + -4z9  and  8z20 + -1z18 + 8z17 + -1z9 + 5z6 11z20 + -1z18 + 8z17 + -4z15 + -5z9 + 5z6
        
13.   Multiply the following polynomials and simplify:
  • -8(6x4 + 2x - 9)
    -48x4 - 16x + 72
        
  • (6x3 + 7x + 5)(2x5 + 9x3 + 4)
    12x8 + 68x6 + 10x5 + 63x4 + 69x3 + 28x + 20
        
14.   Divide:
  • x2 + 15x + 56 / x + 7
    x + 8
        
15.   Find the greatest common factor of the following terms:
  • 36, 66, 65
    1
        
  • 100x5, 30x2y
    10x2
        
16.   Factor the following polynomials:
  • 16x5 + 46x4 + 32x3
    16x3(x -
    -23 +
    17
    16
    )(x -
    -23 -
    17
    16
    )
        
  • x2 + 10x + 24
    (x + 6)(x + 4)
        
  • x5 + x4 - 6x3
    x3(x + 3)(x - 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    -4


        
  • x =
    0
    ,
    -3

    and
    2
        
18.   You have 3 CDs. How many different ways can you listen to them?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 4, 11, 8, 23, 25, 16, 30, 24, 21, 39
        
20.   A bag contains 5 blue balls, 7 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    20.00%
        
  • A blue ball or red ball?
    80.00%
        
  • Two red balls?
    21.78%
        
  • A blue ball and a white ball?
    6.67%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -19
    x - y = 6
    A(-6.5,-12.5)
        
  • 9x - 5y = 13
    3x + 9y = -18

    B(0.28,-2.09)
        
22.   Write the following fractions in simplest form:
  • 14x4y
    7x10y
    2
    x6
        
  • x7 + 6x6 + 8x5
    x2(x + 4)
    x3(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.
  • -4x - 60 = -x2
    x1 = -6,   x2 = 10
        
24.   Convert the following repeating decimal into a fraction:
  • x = 3.52
    317
    90
        
25.   Solve the following equation:
  • -
    10
    x
    = -13
    x =
    100
    169
        
26.   Rationalize the denominator of each fraction below:
  • 4
    3 -
    7
    6 + 2
    7
        
27.   Use a trigonometric ratio to find x:
x = 19.00 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 12 blocks east and 16 blocks north. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   The length of a rectangle is 6 more than twice its width. The area of the rectangle is 176ft2. What is the length and width of the rectangle?
  • width = 8,  length = 22
        


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:   -14 and 15? -210
    
2.   Add:   1 and -20? -19
    
3.   Divide:   -17 and -17? 1
    
4.   Substract:   20 and 4? 16
    
5.   Calculate: |-11 · 17 + -16 · 8| 315
    
6.   Simplify the following expressions:
  • -3 + -13x – -12x -3-1x
        
  • -1x – -3x – 15x + 7y -13x+7y
        
  • -13z + -19z – -4x – 20y + -7y 4x-27y-32z
        
  • y-15 × y19 × y-12 y-8
        
  • x16
    x-18
    x34
        
  • (8x5)9 134217728x45
        
7.   Which of the following expressions show the associative property?
  • u × ( v + 6 ) = uv + 6v
  • 1( 3 + 1 ) = 1×3 + 1×1
  • ( x × y ) × z = x × ( y × z )
  • -4 + 2 = 2 + -4
C
    
8.   Which properties are illustrated by the following three expressions?
  • 17 × 18 + 3 = 3 + 17 × 18
  • ( u × v ) × t = u × ( v × t )
  • r + ( s + 0 ) = ( r + s ) + 0
  • Commutative property of addition, Associative property of multiplication and Associative property of addition
  • Identity property of addition, Commutative property of multiplication and Associative property of addition
  • Associative property of multiplication, Associative property of addition and Commutative property of multiplication
  • Commutative property of addition, Identity property of multiplication and Commutative property of multiplication
A
    
9.   Solve the following equations for x:
  • -71 · -x = 71 x = 1
        
  • -
    10
    26
    =
    2
    26
    x x = -5
        
  • -16 = -49x – -33 x = 1
        
  • ex = -d x = -d/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – -16 < 19 x < 3
        
  • x ≠ -21
  • -15 ≤ x ≥ 6
  • 14
    7
    x > -
    40
    10
    x > -2
        
11.   Convert the following numbers into scientific notation:
  • 0.00000102 1.02 × 10-6
        
  • 73500 7.35 × 104
        
12.   Add the following polynomials:
  • 5z10 + 2z8 + -15z7 + -5z4  and  -10z10 + 8z8 + 12z3
    -5z10 + 10z8 + -15z7 + -5z4 + 12z3
        
  • 8z20 + -12z16 + 15z15 + 7z2 + 4z1  and  -2z15 + -4z2 + 6z1 8z20 + -12z16 + 13z15 + 3z2 + 10z1
        
13.   Multiply the following polynomials and simplify:
  • (6x3 + 6x2 + 6x)(1x3 + 10)
    6x6 + 6x5 + 6x4 + 60x3 + 60x2 + 60x
        
  • (7x5 + x2 + 5x)(5x3 + 1)
    35x8 + 12x5 + 25x4 + x2 + 5x
        
14.   Divide:
  • 10x3 - 14x2 + 10x - 14 / 5x - 7
    2x2 + 2
        
15.   Find the greatest common factor of the following terms:
  • 75, 36
    3
        
  • 40x9y10, 36x8y8, 18x10y8
    2x8y8
        
16.   Factor the following polynomials:
  • 27x5 - 90x4 + 48x3
    27x3(x -
    2
    3
    )(x -
    8
    3
    )
        
  • x2 - 18x + 80
    (x - 8)(x - 10)
        
  • x6 + 5x5 - 14x4
    x4(x + 7)(x - 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    8
    and
    10


        
  • x =
    0
    ,
    -7

    and
    2
        
18.   You have 5 pants, 2 shirts, and 2 shoes. How many different ways can you dress?
  • 20
        
19.   Use the following data to construct a box and whiskers plot:
  • 22, 28, 12, 32, 11, 31, 26, 17, 25
        
20.   A bag contains 2 blue balls, 6 red balls, and 4 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    33.33%
        
  • A blue ball or red ball?
    66.67%
        
  • Two red balls?
    25.00%
        
  • A blue ball and a white ball?
    5.56%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -20
    x - y = 1
    A(-9.5,-10.5)
        
  • 2x - 3y = 10
    9x + 6y = 6

    B(2,-2)
        
22.   Write the following fractions in simplest form:
  • 18x5y2
    72x10y3
    1
    4x5y
        
  • x(x - 4)
    x4 + 4x3 - 32x2
    1
    x(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.
  • 4x = x2 - 60
    x1 = -6,   x2 = 10
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.242
    240
    990
        
25.   Solve the following equation:
  • -
    2x + 9
    + 14 = -11
    x = 308
        
26.   Rationalize the denominator of each fraction below:
  • 7
    25 -
    3
    175 + 7
    3
    622
        
27.   Use a trigonometric ratio to find x:
x = 24.00 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 south and 5 blocks west. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   A rectangle has an area of 255m2. Its width is 2 m less than its length. What are the dimensions of the rectangle?
  • width = 15,  length = 17
        


To print this algebra practice test, click here.



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