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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 -1? -6
    
2.   Add:   6 and -12? -6
    
3.   Divide:   -15 and 15? -1
    
4.   Substract:   7 and 15? -8
    
5.   Calculate: |-10 + 14 · 1 + -8| 4
    
6.   Simplify the following expressions:
  • 16x + 13x + -11 -11+29x
        
  • -11y – -3 – 16x – -3x 3-13x-11y
        
  • -9 + 3x – -11z – -17x – -15 6+20x+11z
        
  • x-2 × y1 x-2 × y1
        
  • x11
    x-1
    x12
        
  • (4x)5 1024x5
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) + 6 = 6 + ( y × x )
  • ( m + n ) + p = m + ( n + p )
  • 9x + -1 = -1 + 9x
  • a + b = b + a
B
    
8.   Which properties are illustrated by the following three expressions?
  • y × ( z + 0 ) = y × z + y × 0
  • 14 + v + w = v + w + 14
  • 4 × (-6 + y) = (-6 + y) × 4
  • Identity property of multiplication, Identity property of addition and Commutative property of multiplication
  • Identity property of addition, Distributive property and Identity property of multiplication
  • Distributive property, Commutative property of addition and Commutative property of multiplication
  • Identity property of addition, Commutative property of addition and Associative property of multiplication
C
    
9.   Solve the following equations for x:
  • 24 – x = -12 x = 36
        
  • -
    7
    25
    =
    7
    25
    x x = -1
        
  • 61x – -86 = 25 x = -1
        
  • -ax = b – g x = (-b+g)/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 2x + 9 > 35 x > 13
        
  • x ≠ -921
  • -85 ≤ x < 86
  • 32
    16
    x <
    24
    3
    x < 4
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000329 3.29 × 10-9
        
  • 77600000 7.76 × 107
        
12.   Add the following polynomials:
  • 14z10 + -15z9 + -11z5 + -7z2  and  6z10 + 12z9 + -10z5 + -13z4 + -5z1
    20z10 + -3z9 + -21z5 + -13z4 + -7z2 + -5z1
        
  • 7z7 + -1z4 + 14z3  and  1z7 + -4z4 + -12z3 8z7 + -5z4 + 2z3
        
13.   Multiply the following polynomials and simplify:
  • -9(5x5 + 3x2 + x)
    -45x5 - 27x2 - 9x
        
  • (6x5 + 9)(10x4 + 9x3 + 4x2)
    60x9 + 54x8 + 24x7 + 90x4 + 81x3 + 36x2
        
14.   Divide:
  • 2x3 + 10x2 - 5x - 25 / x + 5
    2x2 - 5
        
15.   Find the greatest common factor of the following terms:
  • 66, 72, 39
    3
        
  • 88x5y3, 12x10y6
    4x5y3
        
16.   Factor the following polynomials:
  • 16x5 + 72x4 + 74x3
    16x3(x -
    -9 +
    7
    4
    )(x -
    -9 -
    7
    4
    )
        
  • x2 - 10x + 25
    (x - 5)(x - 5)
        
  • x9 + 0x8 - 25x7
    x7(x - 5)(x + 5)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    5


        
  • x =
    0
    ,
    5

    and
    -5
        
18.   You have 5 CDs. How many different ways can you listen to them?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 18, 15, 32, 39, 24, 34, 12
        
20.   A bag contains 2 blue balls, 2 red balls, and 3 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    42.86%
        
  • A blue ball or red ball?
    57.14%
        
  • Two red balls?
    4.76%
        
  • A blue ball and a white ball?
    14.29%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -13
    x - y = -14
    A(-13.5,0.5)
        
  • 10x - 10y = -10
    2x + 2y = -18

    B(-5,-4)
        
22.   Write the following fractions in simplest form:
  • 9x7y2
    3x7y8
    3
    y6
        
  • x(x - 2)
    x6 - 7x5 + 10x4
    1
    x3(x - 5)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 15 = 16x
    x1 = 1,   x2 = 15
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.113
    112
    990
        
25.   Solve the following equation:
  • 3
    x
    = 15
    x =
    9
    225
        
26.   Rationalize the denominator of each fraction below:
  • 15
    5
    - 6
    -
    15
    5
    + 90
    31
        
27.   Use a trigonometric ratio to find x:
x = 32.33 cm
    
28.   The sum of two consecutive even integers is 26. What are the integers? (Hint: use 2x as the first even integer)
a=12, b=14
    
29.   After you leave your house, you walk 3 blocks west and 4 blocks north. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   The length of a rectangle is 6 more than twice its width. The area of the rectangle is 308m2. What is the length and width of the rectangle?
  • width = 11,  length = 28
        


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