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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -40 and 61? -2440
    
2.   Add:   -85 and -97? -182
    
3.   Divide:   45 and -15? -3
    
4.   Substract:   -1 and 16? -17
    
5.   Calculate: |32 · -11 + -4| 356
    
6.   Simplify the following expressions:
  • -44x – 43x – 98x -185x
        
  • -81y + 75 + 79 – -8y 154-73y
        
  • -98 + 46 + 13y – 7y – -72y -52+78y
        
  • x46 × y81 × y81 x46 × y162
        
  • x86
    x-38
    x124
        
  • (9x5)10 3486784401x50
        
7.   Which of the following expressions show the associative property?
  • 5 × 1 = 5
  • ( x × y ) + 9 = 9 + ( y × x )
  • ( 9 × 3 ) × 6 = 9 × ( 3 × 6 )
  • -1x + 2 = 2 + -1x
C
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (g + 15) = g + 15
  • ( -13 + -6 ) × z = -13 × z + -6 × z
  • o + 10 + 0 = o + 10
  • Commutative property of addition, Identity property of addition and Identity property of multiplication
  • Identity property of multiplication, Distributive property and Identity property of addition
  • Associative property of addition, Identity property of addition and Identity property of multiplication
  • Commutative property of multiplication, Identity property of addition and Distributive property
B
    
9.   Solve the following equations for x:
  • 12 = -x · -4 x = 3
        
  • -
    10
    11
    = -
    5
    11
    x x = 2
        
  • 89 + 111x = -22 x = -1
        
  • a = -bx x = -a/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – 14 ≥ 33 x ≥ 47
        
  • x ≠ 75
  • -17 > x > -23
  • -
    12
    6
    x < -
    34
    17
    x > 1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000323 3.23 × 10-9
        
  • 41800000000 4.18 × 1010
        
12.   Add the following polynomials:
  • 15z9 + -1  and  19z9 + 20z8 + 6z7 + -8z6
    34z9 + 20z8 + 6z7 + -8z6 + -1
        
  • 19z17 + -4z15 + -33z12 + -28  and  -7z17 + 46z15 + -49z12 12z17 + 42z15 + -82z12 + -28
        
13.   Multiply the following polynomials and simplify:
  • (6x4 + 8x3 + 8x)(3x4 + 6x2 + x)
    18x8 + 24x7 + 36x6 + 78x5 + 8x4 + 48x3 + 8x2
        
  • (6x4 + 4x2 + 10x)(1x4 + 10x3 + 2)
    6x8 + 60x7 + 4x6 + 50x5 + 112x4 + 8x2 + 20x
        
14.   Divide:
  • 16x2 - 36x + 20 / 4x - 5
    4x - 4
        
15.   Find the greatest common factor of the following terms:
  • 135, 108, 252
    9
        
  • 384x4y2, 180x2y
    12x2y
        
16.   Factor the following polynomials:
  • 64x4 + 92x3 + 32x2
    64x2(x -
    -23 +
    17
    32
    )(x -
    -23 -
    17
    32
    )
        
  • x2 + 2x - 24
    (x + 6)(x - 4)
        
  • x8 - x7 - 156x6
    x6(x - 13)(x + 12)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    4


        
  • x =
    0
    ,
    13

    and
    -12
        
18.   You have 7 books to read. How many different ways can you read your books?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 13, 36, 6, 34, 32, 5, 22, 1, 12, 26
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 7
  • What is the probability of getting tails and 3?
    7.14%
        
  • What is the probability of getting tails and an odd number?
    21.43%
        
  • What is the probability of getting heads and a multiple of 3?
    14.29%
        
  • What is the probability of getting heads and a prime number?
    28.57%
        
  • What is the probability of not heads and not 5?
    42.86%
        
  • 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 heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 4
    x - y = 8
    A(6,-2)
        
  • 10x - 2y = -11
    x + 9y = 17

    B(-0.71,1.97)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 10)
    (x2 - 20x + 100)
    1
    x - 10
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 7x + 10 = -x2
    x1 = -2,   x2 = -5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.4
    4
    9
        
25.   Solve the following equation:
  • x - 7
    - 20 = 4
    x = 583
        
26.   Rationalize the denominator of each fraction below:
  • 14
    9
    5
    18
    7
    2
    5
        
27.   Use a trigonometric ratio to find x:
x = 23.33 cm
    
28.   The sum of two consecutive odd integers is 28. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=13, b=15
    
29.   After you leave your house, you walk 15 blocks north and 8 blocks east. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   Each side of a square is decreased by 2 m. The area of the newly created square is 361m2. What was the original length of one side of the square?
  • 21 m
        


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