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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -15 and 20? -300
    
2.   Add:   -15 and -14? -29
    
3.   Divide:   10 and 2? 5
    
4.   Substract:   17 and 16? 1
    
5.   Calculate: |-7 · -8 + 5 · 20| 156
    
6.   Simplify the following expressions:
  • -7x + 15x + 17x 25x
        
  • 1y + -1x + 3 + -15y 3-1x-14y
        
  • -14 – -12y – -7 + 17y – -6x -7+6x+29y
        
  • x14 × x6 × x4 x24
        
  • x-5
    x-15
    x10
        
  • (4x2)3 64x6
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) + 5 = 5 + ( y × x )
  • ( x + y ) + z = x + ( y + z )
  • 6x + -9 = -9 + 6x
  • 0 + -4x = -4x
B
    
8.   Which properties are illustrated by the following three expressions?
  • ( i + j ) + h = i + ( j + h )
  • 0 + f + g + h = f + g + h
  • -5 + -2 × -16 = -2 × -16 + -5
  • Associative property of addition, Identity property of addition and Commutative property of addition
  • Associative property of multiplication, Associative property of addition and Distributive property
  • Identity property of addition, Distributive property and Associative property of multiplication
  • Distributive property, Commutative property of multiplication and Associative property of multiplication
A
    
9.   Solve the following equations for x:
  • 49 = 7 · -x x = -7
        
  • -
    15
    18
    = -
    1
    6
    x x = 5
        
  • 71 = 73 + 2x x = -1
        
  • a = -fx – g x = (-a-g)/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -5x + -11 > -16 x < 1
        
  • x ≠ -958
  • -15 < x ≥ 53
  • 10
    5
    x <
    28
    7
    x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000799 7.99 × 10-5
        
  • 887000 8.87 × 105
        
12.   Add the following polynomials:
  • -11z10 + 9z9 + -1z8 + 12z6 + -5z5  and  3z9 + 14z2
    -11z10 + 12z9 + -1z8 + 12z6 + -5z5 + 14z2
        
  • 6z19 + 10z14 + -2z8 + 11z1  and  7z19 + 7z14 + -1z8 + -11z1 13z19 + 17z14 + -3z8
        
13.   Multiply the following polynomials and simplify:
  • 2x4(2x5 + 6x4 + 6x)
    4x9 + 12x8 + 12x5
        
  • (3x5 + 9x2 + 6)(6x4 + 10x3 + 6)
    18x9 + 30x8 + 54x6 + 108x5 + 36x4 + 60x3 + 54x2 + 36
        
14.   Divide:
  • 16x3 + 32x2 - 4x - 1 / 4x + 8
    (4x2 - 1) with a remainder of 7
        
15.   Find the greatest common factor of the following terms:
  • 60, 84, 54
    6
        
  • 12xy2, 27xy10, 15x2y7
    3xy2
        
16.   Factor the following polynomials:
  • 48x3 + 36x2 - 84x
    48x(x - 1)(x +
    7
    4
    )
        
  • x2 - 2x - 80
    (x - 10)(x + 8)
        
  • x5 - 21x4 + 108x3
    x3(x - 12)(x - 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    10
    and
    -8


        
  • x =
    0
    ,
    12

    and
    9
        
18.   You have 8 CDs. How many different ways can you listen to them?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 6, 17, 39, 12, 8, 11, 30
        
20.   A bag contains 2 blue balls, 4 red balls, and 2 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    25.00%
        
  • A blue ball or red ball?
    75.00%
        
  • Two red balls?
    25.00%
        
  • A blue ball and a white ball?
    6.25%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -6
    x - y = 17
    A(5.5,-11.5)
        
  • 5x - 3y = 3
    x + y = -9

    B(-3,-6)
        
22.   Write the following fractions in simplest form:
  • 24x5y7
    96x6y7
    1
    4x
        
  • (x2 + 18x + 81)
    (x + 9)
    x + 9
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -2x - 8 = -x2
    x1 = 4,   x2 = -2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.315
    315
    999
        
25.   Solve the following equation:
  • 5
    x
    + 1 = 6
    x
    - 3
    x = 16
        
26.   Rationalize the denominator of each fraction below:
  • 3
    35
    - 3
    3
    35
    + 9
    26
        
27.   Use a trigonometric ratio to find x:
x = 28.00 cm
    
28.   The sum of two consecutive odd integers is 44. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=21, b=23
    
29.   After you leave your house, you walk 16 blocks north and 12 blocks east. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   Each side of a square is lengthened by 6 m. This makes the area of the square 121m2. What is the original length of a side of the square?
  • 5 m
        


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