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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   18 and -7? -126
    
2.   Add:   -20 and 6? -14
    
3.   Divide:   3 and -1? -3
    
4.   Substract:   -5 and 8? -13
    
5.   Calculate: |15 + 5 · -19| 80
    
6.   Simplify the following expressions:
  • 16x + 2x – -1x 19x
        
  • -2 + -17x – 20y + -14 -16-17x-20y
        
  • -6x + 20x – -2y – -11y + 19x 33x+13y
        
  • y2 × y-18 × y-19 × y20 y-15
        
  • x12
    x-6
    x18
        
  • (5x4)3 125x12
        
7.   Which of the following expressions show the associative property?
  • ( m + n ) × 6 = 6 × ( m + n )
  • ( x + y ) × 5 = 5 × ( y + x )
  • -3 × 1 = -3
  • ( x + y ) + z = x + ( y + z )
D
    
8.   Which properties are illustrated by the following three expressions?
  • o × ( p × q ) = ( o × p ) × q
  • a × ( b + c ) = a × b + a × c
  • n + ( o + 0 ) = ( n + o ) + 0
  • Identity property of addition, Identity property of multiplication and Commutative property of addition
  • Identity property of addition, Commutative property of multiplication and Associative property of addition
  • Commutative property of addition, Distributive property and Commutative property of multiplication
  • Associative property of multiplication, Distributive property and Associative property of addition
D
    
9.   Solve the following equations for x:
  • -92 · x = -92 x = 1
        
  • 2
    29
    x =
    14
    29
    x = 7
        
  • -83 – -62x = -21 x = 1
        
  • -ex = a x = -a/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 42x – 23 ≤ 19 x ≤ 1
        
  • x ≠ -379
  • -26 ≥ x < 100
  • 34
    17
    x ≥ -
    12
    2
    x ≥ -3
        
11.   Convert the following numbers into scientific notation:
  • 0.00000856 8.56 × 10-6
        
  • 5140000 5.14 × 106
        
12.   Add the following polynomials:
  • -11z9 + 7z8 + 6z6 + 1z2 + 1  and  -14z9 + 6z8 + 15z5
    -25z9 + 13z8 + 6z6 + 15z5 + 1z2 + 1
        
  • -13z18 + 12z6 + 12z5 + -3z1  and  -13z15 + 14z5 + -9z1 -13z18 + -13z15 + 12z6 + 26z5 + -12z1
        
13.   Multiply the following polynomials and simplify:
  • (9x4 + 2x3 + 6x)3x2
    27x6 + 6x5 + 18x3
        
  • (2x5 + 9x4 + 10x2)(8x4 + 9x)
    16x9 + 72x8 + 98x6 + 81x5 + 90x3
        
14.   Divide:
  • 4x2 - 7x + 3 / 4x - 3
    x - 1
        
15.   Find the greatest common factor of the following terms:
  • 100, 84
    4
        
  • 21x6y9, 91y
    7y
        
16.   Factor the following polynomials:
  • 2x5 - 5x4 - 52x3
    2x3(x -
    13
    2
    )(x + 4)
        
  • x2 - 3x - 4
    (x - 4)(x + 1)
        
  • x7 - 21x6 + 98x5
    x5(x - 14)(x - 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    4
    and
    -1


        
  • x =
    0
    ,
    14

    and
    7
        
18.   You are seating 3 people on 3 chairs. How many different ways can those people sit?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 31, 3, 9, 13, 34, 5, 17, 25
        
20.   A bag contains 7 blue balls, 5 red balls, and 6 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    33.33%
        
  • A blue ball or red ball?
    66.67%
        
  • Two red balls?
    6.54%
        
  • A blue ball and a white ball?
    13.73%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 8
    x - y = 20
    A(14,-6)
        
  • 2x - 8y = -13
    3x + 7y = -6

    B(-3.66,0.71)
        
22.   Write the following fractions in simplest form:
  • 13x10y9
    52x5y9
    x5
    4
        
  • x3(x - 1)
    x4 - 10x3 + 9x2
    x
    (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.
  • -x2 = -19x - 42
    x1 = -2,   x2 = 21
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.5867
    5862
    9990
        
25.   Solve the following equation:
  • -7 -
    3x - 2
    = -11
    x = 6
        
26.   Rationalize the denominator of each fraction below:
  • 7
    3
    - 4
    -
    7
    3
    + 28
    13
        
27.   Use a trigonometric ratio to find x:
x = 15.00 cm
    
28.   The sum of two consecutive odd integers is 56. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=27, b=29
    
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.   Each side of a square is lengthened by 6 m. This makes the area of the square 256m2. What is the original length of a side of the square?
  • 10 m
        


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