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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   4 and 19? 76
    
2.   Add:   -9 and -8? -17
    
3.   Divide:   12 and -1? -12
    
4.   Substract:   -18 and 2? -20
    
5.   Calculate: |8 + 19 · 5 · 19| 1813
    
6.   Simplify the following expressions:
  • -7x + -13 – -5x -13-2x
        
  • -9x + -17y – -6x + -11y -3x-28y
        
  • -11z + -1 + -18 + -17z + -12z + -14z -19-54z
        
  • x16 × y-10 × x-20 x-4 × y-10
        
  • x4
    x6
    x-2
        
  • (10x5)4 10000x20
        
7.   Which of the following expressions show the associative property?
  • b × ( c + 9 ) = bc + 9c
  • 7 + 5 = 5 + 7
  • ( x + y ) + z = x + ( y + z )
  • 8( 7 + 9 ) = 8×7 + 8×9
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( z + 1 ) × y = z × y + 1 × y
  • 1 × -85 = -85
  • 7 + a + b = a + b + 7
  • Identity property of addition, Identity property of multiplication and Commutative property of multiplication
  • Identity property of multiplication, Associative property of multiplication and Distributive property
  • Associative property of addition, Commutative property of multiplication and Commutative property of addition
  • Distributive property, Identity property of multiplication and Commutative property of addition
D
    
9.   Solve the following equations for x:
  • -61 + x = -9 x = 52
        
  • 27
    7
    x =
    27
    7
    x = 1
        
  • 56 = -91 + 49x x = 3
        
  • -dx – gx = f x = (-f)/(d+g)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + 5 > 36 x < -31
        
  • x ≠ 530
  • -84 < x < -43
  • 12
    2
    x ≥ -
    24
    4
    x ≥ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000589 5.89 × 10-5
        
  • 914000000000 9.14 × 1011
        
12.   Add the following polynomials:
  • -11z8 + 13z3  and  -9z8 + 7z5
    -20z8 + 7z5 + 13z3
        
  • -7z20 + 15z17 + 6z16 + 8z6 + -6z5  and  12z20 + 15z17 + -10z6 + 5z5 5z20 + 30z17 + 6z16 + -2z6 + -1z5
        
13.   Multiply the following polynomials and simplify:
  • -6(8x5 + 6x4 - 3)
    -48x5 - 36x4 + 18
        
  • (2x2 + 8x + 4)(3x5 + 4x4)
    6x7 + 32x6 + 44x5 + 16x4
        
14.   Divide:
  • 4x2 - 30x + 57 / x - 6
    (4x - 6) with a remainder of 21
        
15.   Find the greatest common factor of the following terms:
  • 99, 48, 100
    1
        
  • 72x7y2, 21x4y10, 45x7y6
    3x4y2
        
16.   Factor the following polynomials:
  • 33x3 - 54x2 - 24x
    33x(x +
    4
    11
    )(x - 2)
        
  • x2 + 0x - 25
    (x + 5)(x - 5)
        
  • x9 + 3x8 - 108x7
    x7(x - 9)(x + 12)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -5
    and
    5


        
  • x =
    0
    ,
    9

    and
    -12
        
18.   How many ways can 4 people wait in line?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 20, 26, 15, 18, 4, 28, 34, 22, 37, 33
        
20.   A bag contains 2 blue balls, 2 red balls, and 7 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    63.64%
        
  • A blue ball or red ball?
    36.36%
        
  • Two red balls?
    3.31%
        
  • A blue ball and a white ball?
    11.57%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 10
    x - y = 19
    A(14.5,-4.5)
        
  • 13x - 15y = 15
    x + 2y = -2

    B(0,-1)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 3)
    (x2 - 6x + 9)
    1
    x - 3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 11x = -18
    x1 = -9,   x2 = -2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.32
    32
    99
        
25.   Solve the following equation:
  • 12
    x
    = 2
    x = 3
        
26.   Rationalize the denominator of each fraction below:
  • 25
    2
    - 10
    -
    25
    2
    + 250
    98
        
27.   Use a trigonometric ratio to find x:
x = 34.64 cm
    
28.   The sum of two consecutive even integers is 42. What are the integers? (Hint: use 2x as the first even integer)
a=20, b=22
    
29.   After you leave your house, you walk 8 blocks north and 6 blocks west. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   The sides of a square are increased by 2 ft. The area of the newly created square is 400ft2. What was the original length of one side of the square?
  • 18 ft
        


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