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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 -2? -36
    
2.   Add:   18 and 13? 31
    
3.   Divide:   13 and -1? -13
    
4.   Substract:   2 and -4? 6
    
5.   Calculate: |19 + 15 · 12 + 19| 218
    
6.   Simplify the following expressions:
  • -4x – 20x + -19x -43x
        
  • 1x + -5x + -16 – 8 -24-4x
        
  • -9 + -12z – -8z + -12z + -4x – 18z -9-4x-34z
        
  • x-1 × y-10 × y-18 x-1 × y-28
        
  • x13
    x9
    x4
        
  • (9x)2 81x2
        
7.   Which of the following expressions show the associative property?
  • 0 + -5x = -5x
  • ( x × y ) × z = x × ( y × z )
  • 7 + 6u + 4
  • -2 × 1 = -2
B
    
8.   Which properties are illustrated by the following three expressions?
  • -4 × (y + z) = (y + z) × -4
  • ( o × p ) × n = o × ( p × n )
  • (x + y) × 1 = x + y
  • Identity property of addition, Identity property of multiplication and Commutative property of addition
  • Commutative property of multiplication, Associative property of multiplication and Identity property of multiplication
  • Identity property of addition, Commutative property of addition and Commutative property of multiplication
  • Identity property of multiplication, Distributive property and Commutative property of multiplication
B
    
9.   Solve the following equations for x:
  • 77 = x · 77 x = 1
        
  • 2
    7
    x =
    12
    7
    x = 6
        
  • 2x + -30 = -20 x = 5
        
  • bx = c x = c/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -45x + 24 < -21 x > 1
        
  • x ≠ 536
  • 54 ≥ x ≤ 48
  • 30
    6
    x ≤ -30 x ≤ -6
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000358 3.58 × 10-9
        
  • 4490000 4.49 × 106
        
12.   Add the following polynomials:
  • -11z9 + 9z8 + -9z7 + 8z5  and  -7z8 + -4z5
    -11z9 + 2z8 + -9z7 + 4z5
        
  • -10z18 + -2z12 + -15z10 + -5z8 + -10z2  and  -8z12 + -8z9 + -12z5 + 6z2 -10z18 + -10z12 + -15z10 + -8z9 + -5z8 + -12z5 + -4z2
        
13.   Multiply the following polynomials and simplify:
  • 1x(3x5 + 9x3 + 10x2)
    3x6 + 9x4 + 10x3
        
  • (7x3 + 6x2)(10x5 + 9x2)
    70x8 + 60x7 + 63x5 + 54x4
        
14.   Divide:
  • 15x3 - 12x2 - 15x + 12 / 5x - 4
    3x2 - 3
        
15.   Find the greatest common factor of the following terms:
  • 65, 72
    1
        
  • 100x8y9, 55x6y3, 54x4y6
    x4y3
        
16.   Factor the following polynomials:
  • 21x3 - 93x2 + 36x
    21x(x -
    3
    7
    )(x - 4)
        
  • x2 + 14x + 49
    (x + 7)(x + 7)
        
  • x5 + 0x4 - 64x3
    x3(x + 8)(x - 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -7
    and
    -7


        
  • x =
    0
    ,
    -8

    and
    8
        
18.   You have 3 books to read. How many different ways can you read your books?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 3, 18, 23, 20, 35, 11, 5, 16, 28
        
20.   A bag contains 6 blue balls, 7 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?
    27.78%
        
  • A blue ball or red ball?
    72.22%
        
  • Two red balls?
    13.73%
        
  • A blue ball and a white ball?
    9.80%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -4
    x - y = 15
    A(5.5,-9.5)
        
  • x - 2y = 19
    7x + 4y = 7

    B(5,-7)
        
22.   Write the following fractions in simplest form:
  • 56xy3
    14x9y8
    4
    x8y5
        
  • x4(x + 4)
    x4 + 8x3 + 16x2
    x2
    (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.
  • 12x = x2 + 27
    x1 = 3,   x2 = 9
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.12
    11
    90
        
25.   Solve the following equation:
  • 19 -
    x + 5
    = -17
    x = 1291
        
26.   Rationalize the denominator of each fraction below:
  • 2
    15
    - 10
    -
    2
    15
    + 20
    85
        
27.   Use a trigonometric ratio to find x:
x = 21.21 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 15 blocks east and 8 blocks south. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   Each side of a square is decreased by 3 ft. The area of the newly created square is 9ft2. What was the original length of one side of the square?
  • 6 ft
        


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