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:   4 and 15? 60
    
2.   Add:   -14 and -7? -21
    
3.   Divide:   11 and 1? 11
    
4.   Substract:   -13 and -20? 7
    
5.   Calculate: |17 · -8 + -6 · 8| 184
    
6.   Simplify the following expressions:
  • -12x – 4x – 20x -36x
        
  • 4y + 10y + 5y – 16x -16x+19y
        
  • -10 + -13y + 3y + -7 + 8x -17+8x-10y
        
  • x14 × x9 x23
        
  • x19
    x5
    x14
        
  • (4x)10 1048576x10
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) × z = x × ( y × z )
  • 3 + 8j + 9
  • ( x × y ) + 6 = 6 + ( y × x )
  • -3 × ( z + 3 + 2 ) = -3×z + -3×3 + -3×2
A
    
8.   Which properties are illustrated by the following three expressions?
  • (v + 13) × 1 = v + 13
  • 81 + 16 = 81 + 16
  • ( o + 0 ) + n = o + ( 0 + n )
  • Associative property of addition, Commutative property of addition and Distributive property
  • Identity property of multiplication, Commutative property of addition and Associative property of addition
  • Associative property of addition, Identity property of multiplication and Distributive property
  • Commutative property of addition, Distributive property and Identity property of multiplication
B
    
9.   Solve the following equations for x:
  • 82 = x + 11 x = 71
        
  • 6
    16
    =
    1
    16
    x x = 6
        
  • -77x – -90 = -64 x = 2
        
  • a = -fx x = -a/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 4x + 12 > 16 x > 1
        
  • x ≠ 573
  • -17 ≤ x ≤ -98
  • -
    26
    13
    x ≤ -
    4
    2
    x ≥ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000561 5.61 × 10-9
        
  • 63400000000 6.34 × 1010
        
12.   Add the following polynomials:
  • -13z1 + -9  and  -6z1 + 2
    -19z1 + -7
        
  • 4z14 + 15z11 + 7z8 + 10z6  and  5z14 + 12z8 + -4z6 9z14 + 15z11 + 19z8 + 6z6
        
13.   Multiply the following polynomials and simplify:
  • (1x5 + 7x2)(7x3 + 3x2 + 5)
    7x8 + 3x7 + 54x5 + 21x4 + 35x2
        
  • (5x4 + 4x2)(10x5 + 3x2 + x)
    50x9 + 40x7 + 15x6 + 5x5 + 12x4 + 4x3
        
14.   Divide:
  • 3x2 - 24x - 27 / 3x + 3
    x - 9
        
15.   Find the greatest common factor of the following terms:
  • 63, 35, 33
    1
        
  • 66x7y10, 24xy3, 70y
    2y
        
16.   Factor the following polynomials:
  • 33x3 - 95x2 - 12x
    33x(x - 3)(x +
    4
    33
    )
        
  • x2 + 14x + 45
    (x + 9)(x + 5)
        
  • x8 - 23x7 + 126x6
    x6(x - 14)(x - 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -9
    and
    -5


        
  • x =
    0
    ,
    14

    and
    9
        
18.   You have 5 books to read. How many different ways can you read your books?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 28, 10, 35, 9, 15, 27, 5, 39, 13, 24
        
20.   A bag contains 5 blue balls, 2 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?
    22.22%
        
  • A blue ball or red ball?
    77.78%
        
  • Two red balls?
    2.78%
        
  • A blue ball and a white ball?
    13.89%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -3
    x - y = 17
    A(7,-10)
        
  • 11x - 6y = -18
    13x + y = 3

    B(0,3)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x5(x - 8)
    x6 - 15x5 + 56x4
    x
    (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.
  • x = x2 - 2
    x1 = -1,   x2 = 2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.9
    9
    9
        
25.   Solve the following equation:
  • -
    12
    x
    = -15
    x =
    144
    225
        
26.   Rationalize the denominator of each fraction below:
  • 2
    15 +
    15
    15 -
    15
    105
        
27.   Use a trigonometric ratio to find x:
x = 35.36 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 5 blocks south. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   The length of a rectangle is 6 less than 6 times the width. What are the dimensions of the rectangle if the area is 180m2?
  • width = 6,  length = 30
        


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:   10 and 9? 90
    
2.   Add:   15 and -12? 3
    
3.   Divide:   -2 and -1? 2
    
4.   Substract:   -4 and 6? -10
    
5.   Calculate: |17 + 4 · -12| 31
    
6.   Simplify the following expressions:
  • -4x – 12 + 4x -12
        
  • 6x + -2y + 14y + 8x 14x+12y
        
  • -20y – -7 – -4x + 1y + 7y + -5y 7+4x-17y
        
  • x14 × y-8 × y14 x14 × y6
        
  • x3
    x-20
    x23
        
  • (4x3)3 64x9
        
7.   Which of the following expressions show the associative property?
  • ( -7 + 2 ) × 3 = 3 × ( -7 + 2 )
  • i × ( j + 6 ) = ij + 6j
  • 1( 9 + 3 ) = 1×9 + 1×3
  • ( 5 × 7 ) × 4 = 5 × ( 7 × 4 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • k × ( l × 1 ) = ( k × l ) × 1
  • v + 3 + 0 = v + 3
  • y × ( -12 + 3 ) = y × -12 + y × 3
  • Distributive property, Commutative property of addition and Associative property of addition
  • Associative property of multiplication, Identity property of addition and Distributive property
  • Identity property of multiplication, Identity property of addition and Commutative property of multiplication
  • Commutative property of addition, Distributive property and Identity property of multiplication
B
    
9.   Solve the following equations for x:
  • -78 = x + -83 x = 5
        
  • 18
    19
    = -
    9
    19
    x x = -2
        
  • -62 = -2x + 20 x = 41
        
  • -cx + f = ax x = f/(c+a)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 24 < -27 x > 3
        
  • x ≠ -706
  • 79 ≥ x ≤ 38
  • 10
    2
    x ≥ -
    40
    2
    x ≥ -4
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000908 9.08 × 10-8
        
  • 23500 2.35 × 104
        
12.   Add the following polynomials:
  • -3z6 + 4z5 + 8z4 + -2z2 + 15z1  and  10z10 + -13z8 + -9z6 + -15z5 + 7z1
    10z10 + -13z8 + -12z6 + -11z5 + 8z4 + -2z2 + 22z1
        
  • -11z15 + -5z12 + -5z11 + -1  and  -13z15 + -13z12 + -3 -24z15 + -18z12 + -5z11 + -4
        
13.   Multiply the following polynomials and simplify:
  • (1x4 + 4x2 + 8x)(3x5 + 9x4 + 3)
    3x9 + 9x8 + 12x7 + 60x6 + 72x5 + 3x4 + 12x2 + 24x
        
  • (8x5 + 3x + 3)(1x4 + 6x3 + 4x2)
    8x9 + 48x8 + 32x7 + 3x5 + 21x4 + 30x3 + 12x2
        
14.   Divide:
  • 6x2 - 20x + 6 / 2x - 6
    3x - 1
        
15.   Find the greatest common factor of the following terms:
  • 90, 12, 36
    6
        
  • 25x3y5, 54x4y3
    x3y3
        
16.   Factor the following polynomials:
  • 54x3 - 66x2 + 18x
    54x(x -
    11 +
    13
    18
    )(x -
    11 -
    13
    18
    )
        
  • x2 + 0x - 1
    (x - 1)(x + 1)
        
  • x7 + 17x6 + 30x5
    x5(x + 15)(x + 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    1
    and
    -1


        
  • x =
    0
    ,
    -15

    and
    -2
        
18.   You have 6 CDs. How many different ways can you listen to them?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 34, 16, 2, 19, 35, 11, 30
        
20.   A bag contains 4 blue balls, 5 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?
    30.77%
        
  • A blue ball or red ball?
    69.23%
        
  • Two red balls?
    14.79%
        
  • A blue ball and a white ball?
    9.47%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 11
    x - y = -14
    A(-1.5,12.5)
        
  • 6x - 2y = -9
    7x + 9y = 2

    B(-1.13,1.1)
        
22.   Write the following fractions in simplest form:
  • 25x6y6
    50x2y10
    x4
    2y4
        
  • (x - 4)
    (x2 - 8x + 16)
    1
    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.
  • 34x = x2 + 33
    x1 = 1,   x2 = 33
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.483
    479
    990
        
25.   Solve the following equation:
  • 2 +
    x + 6
    = 7
    x = 19
        
26.   Rationalize the denominator of each fraction below:
  • 6
    21
    4
    2
    3
    42
    4
        
27.   Use a trigonometric ratio to find x:
x = 22.00 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 9 blocks south. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has an area of 322m2. Its width is 9 m less than its length. What are the dimensions of the rectangle?
  • width = 14,  length = 23
        


To print this algebra practice test, click here.



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