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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   6 and 5? 30
    
2.   Add:   1 and -17? -16
    
3.   Divide:   19 and 1? 19
    
4.   Substract:   5 and 2? 3
    
5.   Calculate: |9 · -7 + 9| 54
    
6.   Simplify the following expressions:
  • 11x + 9 – 13 -4+11x
        
  • -2 + 3y + -14y + 13x -2+13x-11y
        
  • -20x + -9x – 20z + -2z + -17y -29x-17y-22z
        
  • y-8 × x2 × y-19 x2 × y-27
        
  • x10
    x8
    x2
        
  • (6x2)6 46656x12
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) × z = x × ( y × z )
  • 3( 8 + 6 ) = 3×8 + 3×6
  • ( m + n ) × 6 = 6 × ( m + n )
  • 8 + 7v + 2
A
    
8.   Which properties are illustrated by the following three expressions?
  • 12 × ( -9 × 3 ) = ( 12 × -9 ) × 3
  • w × (u + v) = (u + v) × w
  • 1 × (l + 17) = l + 17
  • Identity property of multiplication, Commutative property of addition and Associative property of addition
  • Associative property of multiplication, Commutative property of multiplication and Identity property of multiplication
  • Distributive property, Identity property of multiplication and Commutative property of addition
  • Identity property of addition, Commutative property of addition and Commutative property of multiplication
B
    
9.   Solve the following equations for x:
  • x · 10 = 100 x = 10
        
  • -
    14
    28
    =
    1
    4
    x x = -2
        
  • -48 = 66 – 3x x = 38
        
  • cx = e x = e/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 20x – -27 < -33 x < -3
        
  • x ≠ -695
  • 61 < x < -63
  • -
    20
    5
    x <
    16
    2
    x > -2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000613 6.13 × 10-8
        
  • 7590000000 7.59 × 109
        
12.   Add the following polynomials:
  • 13z9 + 4z1  and  -2z10 + 15z9 + -15z7 + -4z3 + -6z1
    -2z10 + 28z9 + -15z7 + -4z3 + -2z1
        
  • 6z19 + 11z16 + -5z13 + 15z7 + -9z6  and  5z8 + 6z7 + -15z6 + 7z1 6z19 + 11z16 + -5z13 + 5z8 + 21z7 + -24z6 + 7z1
        
13.   Multiply the following polynomials and simplify:
  • 1x5(6x4 + 6x3 - 8)
    6x9 + 6x8 - 8x5
        
  • (8x3 + 6x + 4)(3x5 + 6x4 + 8)
    24x8 + 48x7 + 18x6 + 48x5 + 24x4 + 64x3 + 48x + 32
        
14.   Divide:
  • 16x2 + 12x + 24 / 4x + 4
    (4x - 1) with a remainder of 28
        
15.   Find the greatest common factor of the following terms:
  • 18, 90, 28
    2
        
  • 66x10y4, 21x4y6, 80x8y5
    x4y4
        
16.   Factor the following polynomials:
  • 2x5 - 21x4 + 40x3
    2x3(x - 8)(x -
    5
    2
    )
        
  • x2 - 11x + 18
    (x - 9)(x - 2)
        
  • x4 - 9x3 - 36x2
    x2(x - 12)(x + 3)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    9
    and
    2


        
  • x =
    0
    ,
    12

    and
    -3
        
18.   You have 3 pants, 5 shirts, and 3 shoes. How many different ways can you dress?
  • 45
        
19.   Use the following data to construct a box and whiskers plot:
  • 13, 39, 8, 12, 20, 18, 15, 24, 14, 30
        
20.   A bag contains 2 blue balls, 5 red balls, and 5 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    41.67%
        
  • A blue ball or red ball?
    58.33%
        
  • Two red balls?
    15.15%
        
  • A blue ball and a white ball?
    7.58%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 17
    x - y = 6
    A(11.5,5.5)
        
  • 9x - y = 3
    5x + 10y = -18

    B(0.13,-1.86)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x3 - 6x2 + 8x
    x5(x - 4)
    (x - 2)
    x4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 6 = -7x
    x1 = -6,   x2 = -1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.47
    43
    90
        
25.   Solve the following equation:
  • 12
    x
    = 10
    x =
    144
    100
        
26.   Rationalize the denominator of each fraction below:
  • 1
    2 -
    21
    -
    2 +
    21
    17
        
27.   Use a trigonometric ratio to find x:
x = 26.87 cm
    
28.   The sum of two consecutive even integers is 62. What are the integers? (Hint: use 2x as the first even integer)
a=30, b=32
    
29.   After you leave your house, you walk 16 blocks north and 12 blocks east. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   The length of a rectangle is 2 more than twice its width. The area of the rectangle is 312ft2. What is the length and width of the rectangle?
  • width = 12,  length = 26
        


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