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Algebra test generator



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1.   Multiply:   -11 and -15? 165
    
2.   Add:   -18 and -3? -21
    
3.   Divide:   12 and 6? 2
    
4.   Substract:   2 and -3? 5
    
5.   Calculate: |-2 + 9 · 12 + -8| 98
    
6.   Simplify the following expressions:
  • 20 + 11x + 1x 20+12x
        
  • -9 – -6 + -10x + 9x -3-1x
        
  • -5x + 11 – 20 – 20y – -9z + 6x -9+1x-20y+9z
        
  • y-10 × y-4 × y-1 y-15
        
  • x-14
    x-8
    x-6
        
  • (5x2)7 78125x14
        
7.   Which of the following expressions show the associative property?
  • ( 4 + 9 ) + 2 = 4 + ( 9 + 2 )
  • a + b = b + a
  • ( x + y ) × 9 = 9 × ( y + x )
  • -7x + 10 = 10 + -7x
A
    
8.   Which properties are illustrated by the following three expressions?
  • 13 × 19 + 5 = 5 + 13 × 19
  • (-4 + x) × 6 = 6 × (-4 + x)
  • b + 13 + 0 = b + 13
  • Identity property of multiplication, Associative property of addition and Commutative property of addition
  • Associative property of multiplication, Distributive property and Commutative property of multiplication
  • Identity property of multiplication, Identity property of addition and Commutative property of multiplication
  • Commutative property of addition, Commutative property of multiplication and Identity property of addition
D
    
9.   Solve the following equations for x:
  • 31 = 31 · x x = 1
        
  • 24
    18
    = -
    2
    3
    x x = -2
        
  • 13 = -6 + 19x x = 1
        
  • -e = ax x = -e/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – -6 ≥ 37 x ≤ -31
        
  • x ≠ 566
  • -5 > x > -97
  • 15x > -15 x > -1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000958 9.58 × 10-6
        
  • 80400000000 8.04 × 1010
        
12.   Add the following polynomials:
  • -2z8 + 5z6 + 8z4  and  -13z6 + 10z6 + 1z4 + -5z2
    -2z8 + 2z6 + 9z4 + -5z2
        
  • 15z20 + -10z14 + -15z12 + -10z11 + 8z8  and  -5z20 + 12z11 + -15z8 10z20 + -10z14 + -15z12 + 2z11 + -7z8
        
13.   Multiply the following polynomials and simplify:
  • 9x5(7x4 - 7)
    63x9 - 63x5
        
  • (4x3 + 8x2 + 7x)(8x4 + 2x2 + 2x)
    32x7 + 64x6 + 64x5 + 24x4 + 30x3 + 14x2
        
14.   Divide:
  • 4x2 - 20x + 24 / x - 3
    4x - 8
        
15.   Find the greatest common factor of the following terms:
  • 54, 42
    6
        
  • 40x8y5, 35x3y2
    5x3y2
        
16.   Factor the following polynomials:
  • 32x4 + 66x3 + 4x2
    32x2(x +
    1
    16
    )(x + 2)
        
  • x2 - 2x - 15
    (x - 5)(x + 3)
        
  • x6 - 15x5 + 14x4
    x4(x - 14)(x - 1)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    -3


        
  • x =
    0
    ,
    14

    and
    1
        
18.   You have 8 books to read. How many different ways can you read your books?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 23, 24, 11, 33, 15, 35, 16, 27, 13
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 13
  • What is the probability of getting tails and 2?
    3.85%
        
  • What is the probability of getting tails and an odd number?
    23.08%
        
  • What is the probability of getting tails and a multiple of 2?
    23.08%
        
  • What is the probability of getting heads and a prime number?
    23.08%
        
  • What is the probability of not tails and not 3?
    46.15%
        
  • What is the probability of getting not heads and not a whole number?
    0%
        
  • What is the probability of heads or tails and a whole number?
    100%
        
  • What is the probability of getting tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -17
    x - y = 8
    A(-4.5,-12.5)
        
  • x - 2y = -12
    x + 8y = -14

    B(-12.4,-0.2)
        
22.   Write the following fractions in simplest form:
  • 6x10y5
    3xy6
    2x9
    y
        
  • x3 + 1x2 - 72x
    x5(x - 8)
    (x + 9)
    x4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 8x + 7 = -x2
    x1 = -7,   x2 = -1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.915
    915
    999
        
25.   Solve the following equation:
  • 2x + 5
    - 6 = 9
    x = 110
        
26.   Rationalize the denominator of each fraction below:
  • 21
    3
    21 +
    2
    441
    3
    - 21
    6
    439
        
27.   Use a trigonometric ratio to find x:
x = 25.46 cm
    
28.   The sum of two consecutive odd integers is 52. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=25, b=27
    
29.   After you leave your house, you walk 15 blocks north and 8 blocks east. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   Each side of a square is decreased by 2 ft. The area of the newly created square is 25ft2. What was the original length of one side of the square?
  • 7 ft
        


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