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Algebra test generator



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1.   Multiply:   100 and 42? 4200
    
2.   Add:   77 and -75? 2
    
3.   Divide:   64 and 2? 32
    
4.   Substract:   8 and 89? -81
    
5.   Calculate: |-73 + 79 · -88| 7025
    
6.   Simplify the following expressions:
  • -31x – 36 – -4 -32-31x
        
  • 78 – -10x – -77 – 52x 155-42x
        
  • 98z + -28x + 69y + 68 – -87x – 78y 68+59x-9y+98z
        
  • x57 × x4 x61
        
  • x72
    x-79
    x151
        
  • (6x2)8 1679616x16
        
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • 0 + -4x = -4x
  • ( 8 + 3 ) + 6 = 8 + ( 3 + 6 )
  • ( -7 + 1 ) × 8 = 8 × ( -7 + 1 )
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( m × n ) × l = m × ( n × l )
  • 1 × 69 = 69
  • ( w + x ) + v = w + ( x + v )
  • Associative property of multiplication, Identity property of multiplication and Associative property of addition
  • Identity property of multiplication, Distributive property and Identity property of addition
  • Identity property of addition, Identity property of multiplication and Commutative property of addition
  • Commutative property of addition, Identity property of multiplication and Associative property of addition
A
    
9.   Solve the following equations for x:
  • -78 – x = -55 x = -23
        
  • -
    16
    14
    =
    2
    7
    x x = -4
        
  • 14 – -46x = 60 x = 1
        
  • -g + a = ex x = (-g+a)/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -17x – 27 > -10 x < -1
        
  • x ≠ -128
  • -38 ≥ x ≤ 14
  • -
    6
    3
    x ≤ -24 x ≥ 12
        
11.   Convert the following numbers into scientific notation:
  • 0.000719 7.19 × 10-4
        
  • 70100000000 7.01 × 1010
        
12.   Add the following polynomials:
  • 5z7 + -13z1 + 7  and  -11z7 + 11z4 + 6z1 + -15
    -6z7 + 11z4 + -7z1 + -8
        
  • 35z18 + -43z7 + -22z1 + -49  and  -17z18 + -12z7 + -11z1 + 5 18z18 + -55z7 + -33z1 + -44
        
13.   Multiply the following polynomials and simplify:
  • (7x3 + 10x2 + 10x)8x5
    56x8 + 80x7 + 80x6
        
  • (4x5 - 6)(10x2 + 5)
    40x7 + 20x5 - 60x2 - 30
        
14.   Divide:
  • 25x3 - 35x2 + 15x + 8 / 5x - 7
    (5x2 + 3) with a remainder of 29
        
15.   Find the greatest common factor of the following terms:
  • 495, 360, 245
    5
        
  • 117x3y5, 480x5y6, 39x7y4
    3x3y4
        
16.   Factor the following polynomials:
  • 32x4 + 0x3 - 2x2
    32x2(x -
    1
    4
    )(x +
    1
    4
    )
        
  • x2 - 5x - 50
    (x - 10)(x + 5)
        
  • x5 + 18x4 + 72x3
    x3(x + 12)(x + 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    10
    and
    -5


        
  • x =
    0
    ,
    -12

    and
    -6
        
18.   You have 4 pants, 4 shirts, and 4 shoes. How many different ways can you dress?
  • 64
        
19.   Use the following data to construct a box and whiskers plot:
  • 19, 8, 38, 20, 29, 18, 9, 17, 4, 37
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 9
  • What is the probability of getting heads and 4?
    5.56%
        
  • What is the probability of getting tails and an odd number?
    22.22%
        
  • What is the probability of getting tails and a multiple of 4?
    11.11%
        
  • What is the probability of getting heads and a prime number?
    22.22%
        
  • What is the probability of not tails and not 5?
    44.44%
        
  • 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 = -1
    x - y = 10
    A(4.5,-5.5)
        
  • x - 3y = 12
    9x + 2y = -9

    B(-0.1,-4.03)
        
22.   Write the following fractions in simplest form:
  • 44x4y7
    11x6y10
    4
    x2y3
        
  • x3(x + 3)
    x3 + 2x2 - 3x
    x2
    (x - 1)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 30 = 13x
    x1 = 10,   x2 = 3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.5
    5
    9
        
25.   Solve the following equation:
  • -
    2x - 4
    + 18 = 8
    x = 52
        
26.   Rationalize the denominator of each fraction below:
  • 14
    4
    2
    21
    2
    21
    3
        
27.   Use a trigonometric ratio to find x:
x = 29.44 cm
    
28.   The sum of two consecutive even integers is 14. What are the integers? (Hint: use 2x as the first even integer)
a=6, b=8
    
29.   After you leave your house, you walk 12 blocks west and 9 blocks north. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   Each side of a square is lengthened by 5 ft. This makes the area of the square 361ft2. What is the original length of a side of the square?
  • 14 ft
        


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