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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -18 and 19? -342
    
2.   Add:   -12 and 9? -3
    
3.   Divide:   20 and 10? 2
    
4.   Substract:   2 and -18? 20
    
5.   Calculate: |-3 · -12 + 13 · 6| 114
    
6.   Simplify the following expressions:
  • 4x + -7 – 11x -7-7x
        
  • -17y + 11y + 12 – -9 21-6y
        
  • -1z – -11y – -11y + -6 + -2y + 13y -6+33y-1z
        
  • x-9 × y5 x-9 × y5
        
  • x-20
    x-3
    x-17
        
  • (5x)3 125x3
        
7.   Which of the following expressions show the associative property?
  • -3 × ( y + 7 + 7 ) = -3×y + -3×7 + -3×7
  • ( 6 + 3 ) + 8 = 6 + ( 3 + 8 )
  • ( x × y ) + 3 = 3 + ( y × x )
  • 7 × 6 = 6 × 7
B
    
8.   Which properties are illustrated by the following three expressions?
  • v × ( w × 1 ) = ( v × w ) × 1
  • 1 × (e + f) = e + f
  • -5 × (g + h) = (g + h) × -5
  • Identity property of addition, Commutative property of addition and Distributive property
  • Commutative property of multiplication, Distributive property and Associative property of multiplication
  • Associative property of multiplication, Identity property of multiplication and Commutative property of multiplication
  • Associative property of addition, Identity property of multiplication and Commutative property of addition
C
    
9.   Solve the following equations for x:
  • -49 = x – -97 x = -146
        
  • 10
    28
    =
    10
    28
    x x = 1
        
  • -2x – -87 = 43 x = 22
        
  • -f = bx x = -f/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x + -8 > -7 x > 1
        
  • x ≠ 833
  • -22 > x ≤ 27
  • 20
    4
    x ≤
    30
    6
    x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.000000339 3.39 × 10-7
        
  • 682000000000 6.82 × 1011
        
12.   Add the following polynomials:
  • -15z5 + -9z4  and  10z8 + 11z5 + 8z4
    10z8 + -4z5 + -1z4
        
  • -9z15 + -10z8 + 10z7 + -12z1  and  1z8 + 11z7 + 12z1 -9z15 + -9z8 + 21z7
        
13.   Multiply the following polynomials and simplify:
  • 9x2(5x5 + 10)
    45x7 + 90x2
        
  • (5x4 + 5x3 - 8)(7x3 + 9x2 - 10)
    35x7 + 80x6 + 45x5 - 50x4 - 106x3 - 72x2 + 80
        
14.   Divide:
  • 20x2 + 9x + 8 / 5x + 1
    (4x + 1) with a remainder of 7
        
15.   Find the greatest common factor of the following terms:
  • 90, 27, 80
    1
        
  • 36x6, 14x2y, 27x7y10
    x2
        
16.   Factor the following polynomials:
  • 49x5 + 77x4 + 29x3
    49x3(x -
    -11 +
    5
    14
    )(x -
    -11 -
    5
    14
    )
        
  • x2 + 6x + 8
    (x + 2)(x + 4)
        
  • x4 + 8x3 - 65x2
    x2(x + 13)(x - 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    -4


        
  • x =
    0
    ,
    -13

    and
    5
        
18.   You are seating 8 people on 8 chairs. How many different ways can those people sit?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 21, 23, 6, 10, 2, 31, 34
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 12
  • What is the probability of getting tails and 2?
    4.17%
        
  • What is the probability of getting heads and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 2?
    25%
        
  • What is the probability of getting heads and a prime number?
    20.83%
        
  • What is the probability of not heads and not 2?
    45.83%
        
  • 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 = 15
    A(9.5,-5.5)
        
  • 4x - y = 13
    x + 9y = 3

    B(3.24,-0.03)
        
22.   Write the following fractions in simplest form:
  • 3x2y9
    6x10y2
    y7
    2x8
        
  • (x2 + 8x + 16)
    (x + 4)
    x + 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 = 4x - 12
    x1 = -6,   x2 = 2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.321
    289
    900
        
25.   Solve the following equation:
  • 3x + 1
    + 9 = 10
    x = 0
        
26.   Rationalize the denominator of each fraction below:
  • 10
    35 -
    15
    35 +
    15
    121
        
27.   Use a trigonometric ratio to find x:
x = 17.00 cm
    
28.   The sum of two consecutive even integers is 58. What are the integers? (Hint: use 2x as the first even integer)
a=28, b=30
    
29.   After you leave your house, you walk 6 blocks east and 8 blocks south. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   Each side of a square is decreased by 7 m. The area of the newly created square is 256m2. What was the original length of one side of the square?
  • 23 m
        


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