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:   -14 and 17? -238
    
2.   Add:   7 and 3? 10
    
3.   Divide:   -9 and -9? 1
    
4.   Substract:   2 and 13? -11
    
5.   Calculate: |-11 · -20 + -6 · 19| 106
    
6.   Simplify the following expressions:
  • -18x – 19x – 1x -38x
        
  • -10x – -9y – 11x + -2x -23x+9y
        
  • -7y + -4 – -11x – 9z – 19 -23+11x-7y-9z
        
  • x12 × x18 x30
        
  • x5
    x13
    x-8
        
  • (4x3)8 65536x24
        
7.   Which of the following expressions show the associative property?
  • 7( 6 + 4 ) = 7×6 + 7×4
  • ( m × n ) + 8 = 8 + ( m × n )
  • ( x × y ) × z = x × ( y × z )
  • 2 × 1 = 2
C
    
8.   Which properties are illustrated by the following three expressions?
  • 10 × (6 + z) = (6 + z) × 10
  • ( j + k ) + i = j + ( k + i )
  • ( y + 1 ) × x = y × x + 1 × x
  • Identity property of addition, Distributive property and Commutative property of addition
  • Commutative property of addition, Identity property of multiplication and Distributive property
  • Commutative property of multiplication, Associative property of addition and Distributive property
  • Associative property of addition, Associative property of multiplication and Distributive property
C
    
9.   Solve the following equations for x:
  • -48 – -x = -91 x = -43
        
  • 22
    5
    = -
    1
    5
    x x = -22
        
  • -98 = 12 + -110x x = 1
        
  • -g = fx x = -g/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -5x – -25 > 35 x < -2
        
  • x ≠ 190
  • 23 < x ≤ -39
  • -
    10
    5
    x > -4 x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000298 2.98 × 10-5
        
  • 8280000000 8.28 × 109
        
12.   Add the following polynomials:
  • -5z10 + -3z9 + -3z6 + -11z2 + 14  and  -1z9 + 8z6 + -14z2 + -8
    -5z10 + -4z9 + 5z6 + -25z2 + 6
        
  • 2z15 + -1z14 + 13z2  and  7z18 + -11z15 + -7z2 7z18 + -9z15 + -1z14 + 6z2
        
13.   Multiply the following polynomials and simplify:
  • (7x4 + 6x - 5)(6x - 2)
    42x5 - 14x4 + 36x2 - 42x + 10
        
  • (10x3 + 8x2)(10x5 + 2x + 1)
    100x8 + 80x7 + 20x4 + 26x3 + 8x2
        
14.   Divide:
  • x3 - 4x2 - 3x + 38 / x - 4
    (x2 - 3) with a remainder of 26
        
15.   Find the greatest common factor of the following terms:
  • 45, 66, 39
    3
        
  • 72x10y5, 84x7y8
    12x7y5
        
16.   Factor the following polynomials:
  • 8x4 - 48x3 + 71x2
    8x2(x -
    12 +
    2
    4
    )(x -
    12 -
    2
    4
    )
        
  • x2 - 5x + 6
    (x - 3)(x - 2)
        
  • x6 + 13x5 + 12x4
    x4(x + 12)(x + 1)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    2


        
  • x =
    0
    ,
    -12

    and
    -1
        
18.   You are seating 4 people on 4 chairs. How many different ways can those people sit?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 6, 9, 4, 13, 33, 14, 27, 17, 10, 20
        
20.   A bag contains 4 blue balls, 5 red balls, and 3 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    25.00%
        
  • A blue ball or red ball?
    75.00%
        
  • Two red balls?
    15.15%
        
  • A blue ball and a white ball?
    9.09%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -9
    x - y = 12
    A(1.5,-10.5)
        
  • 6x - 7y = 12
    8x + 4y = -17

    B(-0.89,-2.48)
        
22.   Write the following fractions in simplest form:
  • 45x8y9
    15x6y6
    3x2y3
        
  • x2(x - 3)
    x7 + 1x6 - 12x5
    1
    x3(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 - 14x = 15
    x1 = 15,   x2 = -1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.25
    23
    90
        
25.   Solve the following equation:
  • 18
    x
    - 8 = 20
    x
    - 10
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 25
    2
    - 35
    -
    25
    2
    + 875
    1223
        
27.   Use a trigonometric ratio to find x:
x = 38.18 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 3 blocks south and 4 blocks west. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   Each side of a square is lengthened by 4 ft. This makes the area of the square 121ft2. What is the original length of a side of the square?
  • 7 ft
        


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:   -8 and 10? -80
    
2.   Add:   19 and -19? 0
    
3.   Divide:   -8 and 4? -2
    
4.   Substract:   4 and -6? 10
    
5.   Calculate: |16 · -11 · 6 – 18| 1074
    
6.   Simplify the following expressions:
  • -14 – 5 – 13x -19-13x
        
  • -9x – 9y + 17x + 14x 22x-9y
        
  • -4y – -5x + -13y + 5x – -5x – 3 -3+15x-17y
        
  • y-9 × y2 y-7
        
  • x8
    x-20
    x28
        
  • (6x5)2 36x10
        
7.   Which of the following expressions show the associative property?
  • 0 + 9x = 9x
  • 9 + 7h + 5
  • ( x × y ) × z = x × ( y × z )
  • -9x + 2 = 2 + -9x
C
    
8.   Which properties are illustrated by the following three expressions?
  • -66 × 1 = -66
  • p + ( q + 0 ) = ( p + q ) + 0
  • ( p × q ) × o = p × ( q × o )
  • Identity property of addition, Identity property of multiplication and Distributive property
  • Identity property of multiplication, Associative property of addition and Associative property of multiplication
  • Associative property of addition, Identity property of addition and Identity property of multiplication
  • Commutative property of addition, Distributive property and Commutative property of multiplication
B
    
9.   Solve the following equations for x:
  • 2 · x = -10 x = -5
        
  • -
    2
    14
    x =
    16
    28
    x = -4
        
  • -7x – 30 = 96 x = -18
        
  • -cx = -f – d x = (f+d)/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 23x + 23 < -23 x < -2
        
  • x ≠ -1
  • -54 < x ≥ 13
  • -
    8
    2
    x ≥
    40
    5
    x ≤ -2
        
11.   Convert the following numbers into scientific notation:
  • 0.00000788 7.88 × 10-6
        
  • 15600000 1.56 × 107
        
12.   Add the following polynomials:
  • -6z8 + 8z2  and  -13z8 + 12z3
    -19z8 + 12z3 + 8z2
        
  • -11z10 + -7z8 + -2z7  and  13z10 + 9z4 + -15z2 2z10 + -7z8 + -2z7 + 9z4 + -15z2
        
13.   Multiply the following polynomials and simplify:
  • (8x5 + x2 - 7)(8x3 + x + 8)
    64x8 + 8x6 + 72x5 - 55x3 + 8x2 - 7x - 56
        
  • (6x5 + 6x4 + 9x3)(3x4 + 2)
    18x9 + 18x8 + 27x7 + 12x5 + 12x4 + 18x3
        
14.   Divide:
  • x2 + x - 22 / x + 7
    (x - 6) with a remainder of 20
        
15.   Find the greatest common factor of the following terms:
  • 21, 66, 26
    1
        
  • 30x10y10, 78xy2
    6xy2
        
16.   Factor the following polynomials:
  • 6x3 + 24x2 + 18x
    6x(x + 1)(x + 3)
        
  • x2 - 11x + 28
    (x - 4)(x - 7)
        
  • x7 + 25x6 + 156x5
    x5(x + 12)(x + 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    4
    and
    7


        
  • x =
    0
    ,
    -12

    and
    -13
        
18.   You have 5 CDs. How many different ways can you listen to them?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 19, 20, 7, 11, 16, 1, 26, 37, 21
        
20.   A bag contains 3 blue balls, 5 red balls, and 5 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    38.46%
        
  • A blue ball or red ball?
    61.54%
        
  • Two red balls?
    14.79%
        
  • A blue ball and a white ball?
    8.88%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 4
    x - y = 5
    A(4.5,-0.5)
        
  • 10x - y = -9
    4x + 9y = -4

    B(-0.9,-0.04)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x6 + 7x5 - 30x4
    x2(x - 3)
    x2(x + 10)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 55 = -6x
    x1 = 5,   x2 = -11
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.9645
    9549
    9900
        
25.   Solve the following equation:
  • 12
    x
    = 2
    x = 3
        
26.   Rationalize the denominator of each fraction below:
  • 5
    49 -
    3
    245 + 5
    3
    2398
        
27.   Use a trigonometric ratio to find x:
x = 20.00 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 9 blocks west and 12 blocks north. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has an area of 168ft2. Its width is 2 ft less than its length. What are the dimensions of the rectangle?
  • width = 12,  length = 14
        


To print this algebra practice test, click here.



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