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Algebra test generator



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1.   Multiply:   -8 and -14? 112
    
2.   Add:   9 and 18? 27
    
3.   Divide:   -15 and 3? -5
    
4.   Substract:   -7 and 8? -15
    
5.   Calculate: |5 · -14 + -7 · -2| 56
    
6.   Simplify the following expressions:
  • 2x + 7x + -13x -4x
        
  • -20x – 3x – 2y + 1 1-23x-2y
        
  • 12x – -20 – 10z + 16 – 13x 36-1x-10z
        
  • y13 × x-8 × y5 × x-9 x-17 × y18
        
  • x3
    x3
    x0
        
  • (5x3)8 390625x24
        
7.   Which of the following expressions show the associative property?
  • 0 + -10x = -10x
  • u × ( v + 6 ) = uv + 6v
  • ( m × n ) × 3 = m × ( n × 3 )
  • 5 × ( y + 9 + 2 ) = 5×y + 5×9 + 5×2
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( u + v ) × t = u × t + v × t
  • ( w + x ) + v = w + ( x + v )
  • 30 + -66 = 30 + -66
  • Distributive property, Associative property of addition and Commutative property of addition
  • Distributive property, Identity property of addition and Associative property of addition
  • Identity property of multiplication, Commutative property of addition and Commutative property of multiplication
  • Distributive property, Identity property of addition and Associative property of multiplication
A
    
9.   Solve the following equations for x:
  • -25 + x = 54 x = 79
        
  • 21
    12
    = -
    7
    4
    x x = -1
        
  • -108x + 20 = -88 x = 1
        
  • dx = -f x = -f/d
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -2x + 35 ≥ -3 x ≤ 19
        
  • x ≠ 92
  • -86 < x ≤ 59
  • 8
    4
    x ≤
    32
    4
    x ≤ 4
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000981 9.81 × 10-9
        
  • 94900000000 9.49 × 1010
        
12.   Add the following polynomials:
  • 5z9 + -2z7 + 1z5 + 5  and  12z9 + 9z5
    17z9 + -2z7 + 10z5 + 5
        
  • -13z20 + -11z18 + 1z16 + -7z8  and  -12z20 + -5z18 + 9z16 + -3z8 -25z20 + -16z18 + 10z16 + -10z8
        
13.   Multiply the following polynomials and simplify:
  • (3x2 - 1)6x5
    18x7 - 6x5
        
  • (7x3 + 7x2 + 1)(4x5 - 6)
    28x8 + 28x7 + 4x5 - 42x3 - 42x2 - 6
        
14.   Divide:
  • 4x3 - 4x2 + 8x - 8 / x - 1
    4x2 + 8
        
15.   Find the greatest common factor of the following terms:
  • 36, 52
    4
        
  • 45x9y8, 30x10y6, 50x7y9
    5x7y6
        
16.   Factor the following polynomials:
  • 54x5 - 54x4 + 9x3
    54x3(x -
    3 +
    3
    6
    )(x -
    3 -
    3
    6
    )
        
  • x2 - 3x - 4
    (x - 4)(x + 1)
        
  • x7 + 4x6 + 4x5
    x5(x + 2)(x + 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    4
    and
    -1


        
  • x =
    0
    ,
    -2

    and
    -2
        
18.   You have 4 CDs. How many different ways can you listen to them?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 23, 14, 37, 11, 38, 34, 15
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 20
  • What is the probability of getting tails and 3?
    2.50%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting tails and a multiple of 4?
    12.5%
        
  • What is the probability of getting tails and a prime number?
    20%
        
  • What is the probability of not heads and not 15?
    47.5%
        
  • What is the probability of getting not tails 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 = 11
    x - y = 17
    A(14,-3)
        
  • 7x - 3y = 6
    3x + 8y = 14

    B(1.38,1.23)
        
22.   Write the following fractions in simplest form:
  • 48x4y4
    16x7y8
    3
    x3y4
        
  • (x - 3)7
    (x - 3)5
    (x - 3)2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 42 = 17x
    x1 = 14,   x2 = 3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.5
    5
    9
        
25.   Solve the following equation:
  • 10
    x
    = 1
    x = 100
        
26.   Rationalize the denominator of each fraction below:
  • 14
    7
    2
    7
        
27.   Use a trigonometric ratio to find x:
x = 17.68 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 6 blocks east and 8 blocks north. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   A rectangle has an area of 144m2. Its width is 10 m less than its length. What are the dimensions of the rectangle?
  • width = 8,  length = 18
        


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