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Algebra test generator



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Important instructions

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1.   Multiply:   -17 and 14? -238
    
2.   Add:   19 and -7? 12
    
3.   Divide:   17 and 17? 1
    
4.   Substract:   -8 and 12? -20
    
5.   Calculate: |4 + -5 · 15 + -14| 85
    
6.   Simplify the following expressions:
  • -19x – -16 – 19 -3-19x
        
  • 11x – -1y – -5 – -11x 5+22x+1y
        
  • 4 + -4y – -14y – 5 + -4 – 5z -5+10y-5z
        
  • y-1 × y11 y10
        
  • x-6
    x3
    x-9
        
  • (6x5)4 1296x20
        
7.   Which of the following expressions show the associative property?
  • ( -10 + 9 ) × 6 = 6 × ( -10 + 9 )
  • ( x + y ) + z = x + ( y + z )
  • 0 + 8x = 8x
  • 1 × ( x + 7 + 2 ) = 1×x + 1×7 + 1×2
B
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + b + 20 = b + 20
  • y + -6 × -7 = -6 × -7 + y
  • (c + d + e) × 1 = c + d + e
  • Identity property of addition, Commutative property of addition and Identity property of multiplication
  • Distributive property, Commutative property of addition and Associative property of addition
  • Distributive property, Associative property of addition and Associative property of multiplication
  • Identity property of multiplication, Associative property of multiplication and Associative property of addition
A
    
9.   Solve the following equations for x:
  • -79 = -x – -71 x = 150
        
  • -
    26
    3
    x = -
    26
    3
    x = 1
        
  • -33 + 63x = -96 x = -1
        
  • gx = -f x = -f/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x + -10 ≤ 30 x ≤ 40
        
  • x ≠ 274
  • -96 ≥ x ≥ 86
  • -
    12
    4
    x > 27 x < -9
        
11.   Convert the following numbers into scientific notation:
  • 0.000462 4.62 × 10-4
        
  • 946000000000 9.46 × 1011
        
12.   Add the following polynomials:
  • 14z10 + -4z7 + -9z5 + -1z4  and  -13z10 + 14z6 + 10z5 + 1z4 + -2z4
    1z10 + -4z7 + 14z6 + 1z5 + -2z4
        
  • -6z17 + -2z13 + 15z12 + 15z6  and  -13z17 + 11z13 + 3z12 -19z17 + 9z13 + 18z12 + 15z6
        
13.   Multiply the following polynomials and simplify:
  • (4x3 + 3x)(2x2 - 8)
    8x5 - 26x3 - 24x
        
  • (3x5 + 6x2)(5x5 + 8x2)
    15x10 + 54x7 + 48x4
        
14.   Divide:
  • 9x3 + 30x2 - 30x - 100 / 3x + 10
    3x2 - 10
        
15.   Find the greatest common factor of the following terms:
  • 25, 21, 100
    1
        
  • 99x8y5, 90x6y3, 42x4y9
    3x4y3
        
16.   Factor the following polynomials:
  • 18x3 + 58x2 + 46x
    18x(x -
    -29 +
    13
    18
    )(x -
    -29 -
    13
    18
    )
        
  • x2 - x - 2
    (x + 1)(x - 2)
        
  • x9 + 16x8 + 64x7
    x7(x + 8)(x + 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -1
    and
    2


        
  • x =
    0
    ,
    -8

    and
    -8
        
18.   How many ways can 4 people wait in line?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 20, 1, 11, 6, 28, 40, 12, 27, 14, 31
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 5
  • What is the probability of getting heads and 2?
    10.00%
        
  • What is the probability of getting heads and an even 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 heads and not 4?
    40%
        
  • 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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -4
    x - y = 13
    A(4.5,-8.5)
        
  • 13x - 9y = 5
    14x + 3y = -20

    B(-1,-2)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 9)5
    (x + 9)3
    (x + 9)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 = -16x + 15
    x1 = 15,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.71
    71
    99
        
25.   Solve the following equation:
  • 8
    x
    + 3 = 11
    x
    - 6
    x = 9
        
26.   Rationalize the denominator of each fraction below:
  • 6
    7
    - 3
    -3
    7
    - 9
        
27.   Use a trigonometric ratio to find x:
x = 29.00 cm
    
28.   The sum of two consecutive odd integers is 40. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=19, b=21
    
29.   After you leave your house, you walk 8 blocks east and 15 blocks south. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   A rectangle has a width that is 4 ft less than its length. The area of the rectangle is 12ft2. What are the dimensions of the rectangle?
  • width = 2,  length = 6
        


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