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Algebra test generator



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Important instructions

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1.   Multiply:   -6 and -1? 6
    
2.   Add:   -6 and -19? -25
    
3.   Divide:   20 and 10? 2
    
4.   Substract:   8 and -5? 13
    
5.   Calculate: |-6 · 16 + -7 · -7| 47
    
6.   Simplify the following expressions:
  • -6x + -13x + 19x
        
  • -5y + 5x + 3 + -7 -4+5x-5y
        
  • -4x – 18x + -6y + -20y + 13y – 9x -31x-13y
        
  • x15 × x-1 × x-16 x-2
        
  • x8
    x-4
    x12
        
  • (4x2)10 1048576x20
        
7.   Which of the following expressions show the associative property?
  • 0 + -9x = -9x
  • ( -10 × 7 ) + -2 = -2 + ( -10 × 7 )
  • ( m + n ) + 8 = m + ( n + 8 )
  • ( x × y ) + 7 = 7 + ( y × x )
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( z + 0 ) × y = z × y + 0 × y
  • g + ( h + 0 ) = ( g + h ) + 0
  • ( 16 × -8 ) × 12 = 16 × ( -8 × 12 )
  • Commutative property of addition, Associative property of addition and Distributive property
  • Distributive property, Associative property of addition and Associative property of multiplication
  • Associative property of multiplication, Commutative property of addition and Distributive property
  • Distributive property, Commutative property of addition and Commutative property of multiplication
B
    
9.   Solve the following equations for x:
  • x – -30 = -23 x = -53
        
  • -
    9
    25
    x =
    9
    25
    x = -1
        
  • 45 = 7 – 2x x = -19
        
  • ax = f x = f/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 1 > -19 x < 18
        
  • x ≠ 839
  • -92 > x ≤ 31
  • -17x ≤ -34 x ≥ 2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000182 1.82 × 10-10
        
  • 832000000 8.32 × 108
        
12.   Add the following polynomials:
  • 3z9 + 9z5 + 2z4  and  3z4 + 9z2 + -5z1
    3z9 + 9z5 + 5z4 + 9z2 + -5z1
        
  • 2z17 + -8z13 + -14z11 + -8z10  and  8z13 + -10z10 + 15z6 2z17 + -14z11 + -18z10 + 15z6
        
13.   Multiply the following polynomials and simplify:
  • 8x3(2x5 + 8x4)
    16x8 + 64x7
        
  • (10x5 + 3x3 + 2x2)(4x5 + 8x)
    40x10 + 12x8 + 8x7 + 80x6 + 24x4 + 16x3
        
14.   Divide:
  • 10x2 + 24x - 7 / 2x + 6
    (5x - 3) with a remainder of 11
        
15.   Find the greatest common factor of the following terms:
  • 22, 39, 90
    1
        
  • 20x5y3, 84x3y10, 63x9
    x3
        
16.   Factor the following polynomials:
  • 22x4 + 20x3 - 2x2
    22x2(x -
    1
    11
    )(x + 1)
        
  • x2 + 18x + 80
    (x + 10)(x + 8)
        
  • x5 - 3x4 - 180x3
    x3(x + 12)(x - 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -10
    and
    -8


        
  • x =
    0
    ,
    -12

    and
    15
        
18.   How many ways can 6 people wait in line?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 16, 34, 31, 18, 35, 14, 40, 33, 29
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 5
  • What is the probability of getting tails and 5?
    10.00%
        
  • What is the probability of getting tails and an odd number?
    20%
        
  • What is the probability of getting tails and a multiple of 2?
    20%
        
  • What is the probability of getting tails and a prime number?
    30%
        
  • What is the probability of not tails and not 2?
    40%
        
  • 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 = 11
    x - y = -20
    A(-4.5,15.5)
        
  • 4x - 10y = 7
    8x + 6y = 10

    B(1.37,-0.15)
        
22.   Write the following fractions in simplest form:
  • 84xy8
    21x5y4
    4y4
    x4
        
  • (x + 2)
    (x2 + 4x + 4)
    1
    x + 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 + 24 = -10x
    x1 = -4,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 4.218
    3797
    900
        
25.   Solve the following equation:
  • 18 -
    5x + 4
    = 1
    x = 57
        
26.   Rationalize the denominator of each fraction below:
  • 10
    14 +
    15
    140 - 10
    15
    181
        
27.   Use a trigonometric ratio to find x:
x = 33.94 cm
    
28.   The sum of two consecutive odd integers is 20. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=9, b=11
    
29.   After you leave your house, you walk 4 blocks west and 3 blocks north. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   Each side of a square is decreased by 8 m. The area of the newly created square is 1m2. What was the original length of one side of the square?
  • 9 m
        


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