Algebra test generator



Name _____________________                                        Date:_____________________


Current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   -34 and 54? -1836
    
2.   Add:   -7 and -65? -72
    
3.   Divide:   -36 and 9? -4
    
4.   Substract:   55 and 79? -24
    
5.   Calculate: |-97 · 64 + -7| 6215
    
6.   Simplify the following expressions:
  • -54x + 27x + 81 81-27x
        
  • 2x + 82x + 82y + -63x 21x+82y
        
  • 84 – 77 + -24z – 46x + 10y 7-46x+10y-24z
        
  • x-86 × y16 × x11 × x3 x-72 × y16
        
  • x17
    x15
    x2
        
  • (4x)7 16384x7
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) + 3 = 3 + ( y × x )
  • 9 × ( y + 8 + 9 ) = 9×y + 9×8 + 9×9
  • ( m + n ) + 2 = m + ( n + 2 )
  • 8 + 7v + 9
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( l + m ) + k = l + ( m + k )
  • (s + t) × u = u × (s + t)
  • -20 × ( 20 × 2 ) = ( -20 × 20 ) × 2
  • Associative property of addition, Commutative property of multiplication and Associative property of multiplication
  • Associative property of addition, Identity property of addition and Associative property of multiplication
  • Distributive property, Associative property of addition and Identity property of addition
  • Identity property of addition, Associative property of addition and Commutative property of addition
A
    
9.   Solve the following equations for x:
  • x · 5 = -25 x = -5
        
  • -
    6
    21
    =
    6
    21
    x x = -1
        
  • -63 = -93 + -10x x = -3
        
  • cx = -d x = -d/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 17x – 27 ≥ -10 x ≥ 1
        
  • x ≠ -416
  • 26 > x > 3
  • -
    27
    3
    x > -
    18
    2
    x < 1
        
11.   Convert the following numbers into scientific notation:
  • 0.000378 3.78 × 10-4
        
  • 1990000 1.99 × 106
        
12.   Add the following polynomials:
  • -13z10 + -2z3 + -7z1  and  20z10 + 4z4 + -20z3 + -6z1
    7z10 + 4z4 + -22z3 + -13z1
        
  • -16z16 + -29z4 + 29z3 + -24z1  and  27z16 + -9z11 + -11z4 11z16 + -9z11 + -40z4 + 29z3 + -24z1
        
13.   Multiply the following polynomials and simplify:
  • (9x5 + 8x4 + 7x2)(4x5 + 10x2 + 8x)
    36x10 + 32x9 + 118x7 + 152x6 + 64x5 + 70x4 + 56x3
        
  • (5x4 + 5x)(2x5 + 9x3 + 9x)
    10x9 + 45x7 + 10x6 + 45x5 + 45x4 + 45x2
        
14.   Divide:
  • 4x2 - 100 / 2x + 10
    2x - 10
        
15.   Find the greatest common factor of the following terms:
  • 135, 252, 280
    1
        
  • 385x4y3, 108xy5, 132x2y
    xy
        
16.   Factor the following polynomials:
  • 6x5 - 87x4 + 81x3
    6x3(x -
    27
    2
    )(x - 1)
        
  • x2 + 18x + 80
    (x + 8)(x + 10)
        
  • x4 - 23x3 + 120x2
    x2(x - 8)(x - 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -8
    and
    -10


        
  • x =
    0
    ,
    8

    and
    15
        
18.   You are seating 7 people on 7 chairs. How many different ways can those people sit?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 19, 22, 8, 15, 20, 2, 23
        
20.   A bag contains 6 blue balls, 2 red balls, and 7 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    46.67%
        
  • A blue ball or red ball?
    53.33%
        
  • Two red balls?
    0.95%
        
  • A blue ball and a white ball?
    20.00%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -15
    x - y = 10
    A(-2.5,-12.5)
        
  • x - 10y = 8
    9x + 4y = 2

    B(0.55,-0.74)
        
22.   Write the following fractions in simplest form:
  • 44xy4
    11x5y3
    4y
    x4
        
  • (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.
  • x2 - 60 = -11x
    x1 = -15,   x2 = 4
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.69
    69
    99
        
25.   Solve the following equation:
  • -5
    x
    + 11 = 1
    x
    - 7
    x = 9
        
26.   Rationalize the denominator of each fraction below:
  • 4
    35
    + 2
    4
    35
    - 8
    31
        
27.   Use a trigonometric ratio to find x:
x = 32.33 cm
    
28.   The sum of two consecutive even integers is 38. What are the integers? (Hint: use 2x as the first even integer)
a=18, b=20
    
29.   After you leave your house, you walk 8 blocks east and 15 blocks south. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   The length of a rectangle is 3 more than thrice its width. The area of the rectangle is 36ft2. What is the length and width of the rectangle?
  • width = 3,  length = 12
        


To print this algebra practice test, click here.



Name _____________________                                        Date:_____________________


Current difficulty level: Choose test difficulty:         Easy              Challenging
(current difficulty level: Challenging)

                           

Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   -89 and -52? 4628
    
2.   Add:   39 and -8? 31
    
3.   Divide:   -64 and 64? -1
    
4.   Substract:   6 and 82? -76
    
5.   Calculate: |-34 + -19 – 56 · 26| 1509
    
6.   Simplify the following expressions:
  • -70x + 87x + -26 -26+17x
        
  • -80x – -95y – 67x – -33y -147x+128y
        
  • 6z – -2 + 50x + 78z – -50z 2+50x+134z
        
  • y41 × x3 x3 × y41
        
  • x-38
    x-67
    x29
        
  • (2x3)8 256x24
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × 5 = m × ( n × 5 )
  • ( m × n ) + 9 = 9 + ( m × n )
  • -7 × 1 = -7
  • ( x × y ) + 7 = 7 + ( y × x )
A
    
8.   Which properties are illustrated by the following three expressions?
  • 3 × -10 = 3 × -10
  • -41 + -54 = -41 + -54
  • -17 + ( 2 + -7 ) = ( -17 + 2 ) + -7
  • Distributive property, Associative property of addition and Commutative property of multiplication
  • Identity property of multiplication, Associative property of addition and Identity property of addition
  • Commutative property of multiplication, Commutative property of addition and Associative property of addition
  • Identity property of multiplication, Distributive property and Associative property of multiplication
C
    
9.   Solve the following equations for x:
  • -x · 59 = 59 x = -1
        
  • -
    22
    14
    x =
    22
    14
    x = -1
        
  • -81 + -68x = -13 x = -1
        
  • ex = -c – dx x = (-c)/(e+d)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 27x – 39 > -12 x > 1
        
  • x ≠ 101
  • 77 ≥ x ≤ -68
  • -
    12
    4
    x > 36 x < -12
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000988 9.88 × 10-9
        
  • 99400000 9.94 × 107
        
12.   Add the following polynomials:
  • -9z5 + 4z3  and  16z8 + 9z5 + -11z3 + 19z1
    16z8 + -7z3 + 19z1
        
  • -25z16 + -7z11 + -18z6 + -44z5  and  -38z16 + 42z6 + -3z5 -63z16 + -7z11 + 24z6 + -47z5
        
13.   Multiply the following polynomials and simplify:
  • 7x(5x3 + 9x2)
    35x4 + 63x3
        
  • (6x4 + 9x3 + 10x)(6x2 + 8x - 4)
    36x6 + 102x5 + 48x4 + 24x3 + 80x2 - 40x
        
14.   Divide:
  • 8x3 - 28x2 - 4x + 14 / 2x - 7
    4x2 - 2
        
15.   Find the greatest common factor of the following terms:
  • 351, 500
    1
        
  • 162x2y5, 252x6y
    18x2y
        
16.   Factor the following polynomials:
  • 17x3 - 70x2 + 8x
    17x(x - 4)(x -
    2
    17
    )
        
  • x2 + 2x - 35
    (x - 5)(x + 7)
        
  • x7 - 6x6 - 7x5
    x5(x + 1)(x - 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    -7


        
  • x =
    0
    ,
    -1

    and
    7
        
18.   You have 3 pants, 4 shirts, and 3 shoes. How many different ways can you dress?
  • 36
        
19.   Use the following data to construct a box and whiskers plot:
  • 1, 6, 29, 36, 4, 22, 13
        
20.   A bag contains 5 blue balls, 4 red balls, and 6 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    40.00%
        
  • A blue ball or red ball?
    60.00%
        
  • Two red balls?
    7.11%
        
  • A blue ball and a white ball?
    13.33%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -9
    x - y = 8
    A(-0.5,-8.5)
        
  • 3x - 9y = 8
    6x + y = -6

    B(-0.81,-1.16)
        
22.   Write the following fractions in simplest form:
  • 3x5y
    9x4y7
    x
    3y6
        
  • (x + 1)7
    (x + 1)4
    (x + 1)3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -9 = x2 + 6x
    x1 = -3,   x2 = -3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.2
    2
    9
        
25.   Solve the following equation:
  • 7 -
    x + 5
    = -12
    x = 356
        
26.   Rationalize the denominator of each fraction below:
  • 3
    2 +
    5
    -(6 - 3
    5
    )
        
27.   Use a trigonometric ratio to find x:
x = 10.97 cm
    
28.   The sum of two consecutive even integers is 50. What are the integers? (Hint: use 2x as the first even integer)
a=24, b=26
    
29.   After you leave your house, you walk 16 blocks south and 12 blocks east. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   The length of a rectangle is 2 less than 2 times the width. What are the dimensions of the rectangle if the area is 112ft2?
  • width = 8,  length = 14
        


To print this algebra practice test, click here.



Share this page:
Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.