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Algebra test generator



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1.   Multiply:   -8 and -6? 48
    
2.   Add:   17 and 1? 18
    
3.   Divide:   1 and -1? -1
    
4.   Substract:   -19 and -16? -3
    
5.   Calculate: |-6 · 9 + 18| 36
    
6.   Simplify the following expressions:
  • 10x + -7 – 6x -7+4x
        
  • 11 + 2 + 5x + 11x 13+16x
        
  • 1z + -6 + -10y – 17z – 10z – -1 -5-10y-26z
        
  • x-16 × x-11 × x9 x-18
        
  • x19
    x-1
    x20
        
  • (7x2)3 343x6
        
7.   Which of the following expressions show the associative property?
  • 9 + 7w + 3
  • ( 5 × 2 ) × 3 = 5 × ( 2 × 3 )
  • 0 + 7x = 7x
  • 4( 7 + 1 ) = 4×7 + 4×1
B
    
8.   Which properties are illustrated by the following three expressions?
  • 12 × (7 + z) = (7 + z) × 12
  • 1 × 88 = 88
  • f × ( g × h ) = ( f × g ) × h
  • Distributive property, Identity property of multiplication and Identity property of addition
  • Associative property of addition, Commutative property of addition and Distributive property
  • Commutative property of multiplication, Identity property of multiplication and Associative property of multiplication
  • Commutative property of multiplication, Commutative property of addition and Identity property of multiplication
C
    
9.   Solve the following equations for x:
  • 10 = 2 · x x = 5
        
  • -
    24
    30
    =
    4
    30
    x x = -6
        
  • 52 + -35x = -18 x = 2
        
  • a = ex x = a/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -8x + 16 ≥ 40 x ≤ -3
        
  • x ≠ -262
  • -22 ≥ x ≥ -91
  • -
    9
    3
    x ≥ -15 x ≤ 5
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000503 5.03 × 10-9
        
  • 35000000 3.5 × 107
        
12.   Add the following polynomials:
  • 12z8 + 1z4 + 1z1  and  -8z8 + 12z6
    4z8 + 12z6 + 1z4 + 1z1
        
  • 6z19 + 14z18 + -9z15 + 5z3 + -1z2  and  -9z19 + 11z18 + 5z15 + 15z2 -3z19 + 25z18 + -4z15 + 5z3 + 14z2
        
13.   Multiply the following polynomials and simplify:
  • 3x(3x5 + 5x4 + 8)
    9x6 + 15x5 + 24x
        
  • (5x5 + 4x3)(10x5 + 8x2 + 3x)
    50x10 + 40x8 + 40x7 + 15x6 + 32x5 + 12x4
        
14.   Divide:
  • 2x3 - 14x2 - 8x + 56 / x - 7
    2x2 - 8
        
15.   Find the greatest common factor of the following terms:
  • 45, 96, 90
    3
        
  • 44x8y10, 52x6y5
    4x6y5
        
16.   Factor the following polynomials:
  • 48x4 + 72x3 + 26x2
    48x2(x -
    -9 +
    3
    12
    )(x -
    -9 -
    3
    12
    )
        
  • x2 - 8x - 20
    (x + 2)(x - 10)
        
  • x5 - 17x4 + 66x3
    x3(x - 11)(x - 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    10


        
  • x =
    0
    ,
    11

    and
    6
        
18.   You have 4 books to read. How many different ways can you read your books?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 16, 18, 15, 28, 20, 26, 21, 36, 10, 34
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 18
  • What is the probability of getting heads and 5?
    2.78%
        
  • What is the probability of getting heads and an even number?
    25%
        
  • What is the probability of getting tails and a multiple of 7?
    5.56%
        
  • What is the probability of getting tails and a prime number?
    19.44%
        
  • What is the probability of not tails and not 15?
    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 heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -3
    x - y = 6
    A(1.5,-4.5)
        
  • 10x - 9y = 7
    7x + 2y = -7

    B(-0.59,-1.43)
        
22.   Write the following fractions in simplest form:
  • 5x2y9
    20x5y10
    1
    4x3y
        
  • (x - 5)6
    (x - 5)2
    (x - 5)4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 9x = 90
    x1 = 6,   x2 = -15
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.9830
    9732
    9900
        
25.   Solve the following equation:
  • -
    7
    x
    = -5
    x =
    49
    25
        
26.   Rationalize the denominator of each fraction below:
  • 15
    10
    + 1
    5
    10
    - 5
    3
        
27.   Use a trigonometric ratio to find x:
x = 15.00 cm
    
28.   The sum of two consecutive odd integers is 44. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=21, b=23
    
29.   After you leave your house, you walk 6 blocks west 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 24ft2. Its width is 10 ft less than its length. What are the dimensions of the rectangle?
  • width = 2,  length = 12
        


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