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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 -3? 45
    
2.   Add:   10 and 6? 16
    
3.   Divide:   17 and 17? 1
    
4.   Substract:   -16 and -1? -15
    
5.   Calculate: |-3 + -12 · -3 + 3| 36
    
6.   Simplify the following expressions:
  • -13 + -5 – 18x -18-18x
        
  • 20x + 9y – -14y + -19y 20x+4y
        
  • 16x – -9x – -19 + 15 + 5x – 2z 34+30x-2z
        
  • y11 × x-8 x-8 × y11
        
  • x16
    x18
    x-2
        
  • (5x5)7 78125x35
        
7.   Which of the following expressions show the associative property?
  • 0 + -9x = -9x
  • a × ( b + 3 ) = ab + 3b
  • 4 + 3 = 3 + 4
  • ( m + n ) + 7 = m + ( n + 7 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 34 + 0 = 34
  • h × ( i × j ) = ( h × i ) × j
  • (y + z) × 1 = y + z
  • Identity property of addition, Associative property of multiplication and Identity property of multiplication
  • Identity property of multiplication, Identity property of addition and Distributive property
  • Associative property of addition, Distributive property and Commutative property of multiplication
  • Associative property of multiplication, Associative property of addition and Identity property of addition
A
    
9.   Solve the following equations for x:
  • 13 · x = 26 x = 2
        
  • -
    16
    15
    =
    8
    15
    x x = -2
        
  • -19 – 5x = 61 x = -16
        
  • -ex = -g – fx x = g/(e-f)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -46x – -22 ≥ -24 x ≤ 1
        
  • x ≠ 594
  • 44 ≤ x ≤ -14
  • -
    12
    6
    x >
    36
    2
    x < -9
        
11.   Convert the following numbers into scientific notation:
  • 0.000000134 1.34 × 10-7
        
  • 31300 3.13 × 104
        
12.   Add the following polynomials:
  • -6z8 + 1z1  and  -6z10 + 10z8 + 12z7 + 10z5 + -2
    -6z10 + 4z8 + 12z7 + 10z5 + 1z1 + -2
        
  • 12z11 + 1z4 + 2z2  and  11z15 + 5z11 + 5z4 + 4z3 + 8z2 11z15 + 17z11 + 6z4 + 4z3 + 10z2
        
13.   Multiply the following polynomials and simplify:
  • (7x5 + 9x2 + 5x)(6x5 + 8x4 + 3)
    42x10 + 56x9 + 54x7 + 102x6 + 61x5 + 27x2 + 15x
        
  • (6x4 + 5x)(10x5 + 6x2 + 3x)
    60x9 + 86x6 + 18x5 + 30x3 + 15x2
        
14.   Divide:
  • 9x3 + 24x2 - 24x - 62 / 3x + 8
    (3x2 - 8) with a remainder of 2
        
15.   Find the greatest common factor of the following terms:
  • 54, 18, 75
    3
        
  • 77x3y10, 40x10y8
    x3y8
        
16.   Factor the following polynomials:
  • 54x5 - 30x4 - 56x3
    54x3(x +
    7
    9
    )(x -
    4
    3
    )
        
  • x2 + 5x + 4
    (x + 1)(x + 4)
        
  • x8 - 5x7 - 36x6
    x6(x - 9)(x + 4)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -1
    and
    -4


        
  • x =
    0
    ,
    9

    and
    -4
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, three, or four scoops. Flavors can be chocolate, vanilla, strawberry, peach or kiwi. How many choices do you have?
  • 40
        
19.   Use the following data to construct a box and whiskers plot:
  • 20, 35, 39, 10, 9, 21, 24, 38, 11
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 18
  • What is the probability of getting tails and 2?
    2.78%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 9?
    5.56%
        
  • What is the probability of getting heads and a prime number?
    19.44%
        
  • What is the probability of not heads and not 7?
    47.22%
        
  • 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 = 13
    x - y = -18
    A(-2.5,15.5)
        
  • 9x - 3y = 16
    3x + 9y = 15

    B(2.1,0.97)
        
22.   Write the following fractions in simplest form:
  • 48x5y7
    24xy4
    2x4y3
        
  • x5(x + 10)
    x5 + 11x4 + 10x3
    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 = -18x - 63
    x1 = -3,   x2 = 21
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.391
    388
    990
        
25.   Solve the following equation:
  • -8
    x
    - 16 = -9
    x
    + 20
    x = 1296
        
26.   Rationalize the denominator of each fraction below:
  • 10
    10
    + 4
    -
    5
    10
    - 20
    3
        
27.   Use a trigonometric ratio to find x:
x = 24.25 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 8 blocks south and 6 blocks east. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   Each side of a square is lengthened by 8 ft. This makes the area of the square 400ft2. What is the original length of a side of the square?
  • 12 ft
        


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