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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   3 and 20? 60
    
2.   Add:   3 and -6? -3
    
3.   Divide:   -15 and 5? -3
    
4.   Substract:   -5 and -7? 2
    
5.   Calculate: |-17 · -17 + -6 · 14| 205
    
6.   Simplify the following expressions:
  • 19x + 18x – 7x 30x
        
  • 20x – 16 + -13x + -8y -16+7x-8y
        
  • -2y – -3y – -14y + 18x + 3z 18x+15y+3z
        
  • x-8 × y14 x-8 × y14
        
  • x3
    x6
    x-3
        
  • (5x3)2 25x6
        
7.   Which of the following expressions show the associative property?
  • ( -8 × -6 ) + -7 = -7 + ( -8 × -6 )
  • ( 7 × 4 ) × 9 = 7 × ( 4 × 9 )
  • 5 + 1 = 1 + 5
  • a + b = b + a
B
    
8.   Which properties are illustrated by the following three expressions?
  • 15 + -4x = -4x + 15
  • (d + e) × 8 = 8 × (d + e)
  • (j + k + l) × 1 = j + k + l
  • Commutative property of addition, Commutative property of multiplication and Identity property of multiplication
  • Associative property of addition, Distributive property and Identity property of addition
  • Associative property of addition, Distributive property and Identity property of multiplication
  • Associative property of multiplication, Identity property of multiplication and Associative property of addition
A
    
9.   Solve the following equations for x:
  • -89 + -x = 91 x = -180
        
  • 1
    22
    x =
    3
    22
    x = 3
        
  • -17 = 53x – 70 x = 1
        
  • ex = d x = d/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -23x + 27 ≤ 4 x ≥ 1
        
  • x ≠ -561
  • -90 ≤ x ≥ 15
  • -
    40
    10
    x ≤ -28 x ≥ 7
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000353 3.53 × 10-10
        
  • 81700 8.17 × 104
        
12.   Add the following polynomials:
  • -3z9 + 12z7 + -14z2 + 7  and  -13z9 + -1z7 + 11z2 + 6
    -16z9 + 11z7 + -3z2 + 13
        
  • -10z16 + -13z14 + -15z13 + -15z6  and  10z16 + -1z14 + -10z13 + 6z10 + 10z6 -14z14 + -25z13 + 6z10 + -5z6
        
13.   Multiply the following polynomials and simplify:
  • (7x5 + 5x4)4x3
    28x8 + 20x7
        
  • (4x4 + 2x3 + 6)(7x5 + 10)
    28x9 + 14x8 + 42x5 + 40x4 + 20x3 + 60
        
14.   Divide:
  • 8x3 - 14x2 + 12x - 21 / 4x - 7
    2x2 + 3
        
15.   Find the greatest common factor of the following terms:
  • 15, 36, 45
    3
        
  • 30x5y, 39x3, 22x3
    x3
        
16.   Factor the following polynomials:
  • 20x3 + 16x2 + 1x
    20x(x -
    -4 +
    11
    10
    )(x -
    -4 -
    11
    10
    )
        
  • x2 - 17x + 70
    (x - 7)(x - 10)
        
  • x8 - 8x7 + 12x6
    x6(x - 2)(x - 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    7
    and
    10


        
  • x =
    0
    ,
    2

    and
    6
        
18.   You have 6 books to read. How many different ways can you read your books?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 37, 24, 23, 21, 18, 30, 36, 32
        
20.   A bag contains 2 blue balls, 7 red balls, and 2 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    18.18%
        
  • A blue ball or red ball?
    81.82%
        
  • Two red balls?
    38.18%
        
  • A blue ball and a white ball?
    3.64%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 10
    x - y = 19
    A(14.5,-4.5)
        
  • 10x - 2y = -2
    2x + y = -14

    B(-2.14,-9.71)
        
22.   Write the following fractions in simplest form:
  • 5x7y2
    15x10y
    y
    3x3
        
  • (x2 - 2x + 1)
    (x - 1)
    x - 1
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -15 = x2 + 16x
    x1 = -1,   x2 = -15
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.39
    39
    99
        
25.   Solve the following equation:
  • -17
    x
    - 10 = -20
    x
    + 8
    x = 36
        
26.   Rationalize the denominator of each fraction below:
  • 10
    2 -
    10
    -
    10 + 5
    10
    3
        
27.   Use a trigonometric ratio to find x:
x = 16.50 cm
    
28.   The sum of two consecutive even integers is 46. What are the integers? (Hint: use 2x as the first even integer)
a=22, b=24
    
29.   After you leave your house, you walk 3 blocks east and 4 blocks north. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   Each side of a square is lengthened by 3 ft. This makes the area of the square 361ft2. What is the original length of a side of the square?
  • 16 ft
        


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