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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -12 and 5? -60
    
2.   Add:   16 and -3? 13
    
3.   Divide:   10 and -5? -2
    
4.   Substract:   -6 and 5? -11
    
5.   Calculate: |1 + -1 · -7 + -11| 3
    
6.   Simplify the following expressions:
  • -8x – 4 + 2 -2-8x
        
  • -12x + -6 + 11 – 18x 5-30x
        
  • -7x + -10 – -17x – -3y + -12y – 3x -10+7x-9y
        
  • y-1 × y18 × y0 × y-6 y11
        
  • x12
    x11
    x1
        
  • (3x2)6 729x12
        
7.   Which of the following expressions show the associative property?
  • 6x + 4 = 4 + 6x
  • 9 × -9 = -9 × 9
  • 6 + 10u + 5
  • ( x + y ) + z = x + ( y + z )
D
    
8.   Which properties are illustrated by the following three expressions?
  • d + 15 + 0 = d + 15
  • ( x × y ) × w = x × ( y × w )
  • u + ( v + w ) = ( u + v ) + w
  • Distributive property, Identity property of addition and Commutative property of addition
  • Identity property of addition, Distributive property and Commutative property of multiplication
  • Distributive property, Identity property of multiplication and Associative property of addition
  • Identity property of addition, Associative property of multiplication and Associative property of addition
D
    
9.   Solve the following equations for x:
  • -67 – -x = 15 x = 82
        
  • 6
    4
    = -
    1
    2
    x x = -3
        
  • -19x + -3 = -60 x = 3
        
  • g = -cx x = -g/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -4x – 1 ≥ -21 x ≤ 5
        
  • x ≠ 75
  • -33 > x ≥ 29
  • 20
    2
    x <
    40
    2
    x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.00000593 5.93 × 10-6
        
  • 48700 4.87 × 104
        
12.   Add the following polynomials:
  • -15z10 + 6z9 + 9z8 + -9z7 + 5z2  and  -2z9 + 4z8 + 2z7 + 2z3 + 14z2
    -15z10 + 4z9 + 13z8 + -7z7 + 2z3 + 19z2
        
  • -13z13 + -9z7 + -5z2 + 7z1  and  -4z16 + -8z13 + 9z7 + 11z2 + 13z1 -4z16 + -21z13 + 6z2 + 20z1
        
13.   Multiply the following polynomials and simplify:
  • (1x4 + 9)5x5
    5x9 + 45x5
        
  • (4x5 + 6x2)(7x5 + 4x4)
    28x10 + 16x9 + 42x7 + 24x6
        
14.   Divide:
  • 20x3 - 36x2 - 45x + 81 / 5x - 9
    4x2 - 9
        
15.   Find the greatest common factor of the following terms:
  • 52, 78, 36
    2
        
  • 54x6y, 78x5y2
    6x5y
        
16.   Factor the following polynomials:
  • 34x5 + 69x4 + 27x3
    34x3(x +
    9
    17
    )(x +
    3
    2
    )
        
  • x2 - 8x + 12
    (x - 2)(x - 6)
        
  • x8 + 20x7 + 96x6
    x6(x + 12)(x + 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    2
    and
    6


        
  • x =
    0
    ,
    -12

    and
    -8
        
18.   How many ways can 8 people wait in line?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 18, 25, 5, 17, 29, 14, 13, 32, 22
        
20.   A bag contains 6 blue balls, 5 red balls, and 6 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    35.29%
        
  • A blue ball or red ball?
    64.71%
        
  • Two red balls?
    7.35%
        
  • A blue ball and a white ball?
    13.24%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 8
    x - y = 6
    A(7,1)
        
  • 2x - 3y = -19
    2x + 6y = 5

    B(-5.5,2.67)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x5(x + 7)
    x3 + 14x2 + 49x
    x4
    (x + 7)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -x = x2 - 20
    x1 = -5,   x2 = 4
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.1224
    1223
    9990
        
25.   Solve the following equation:
  • -
    10
    x
    = -4
    x =
    100
    16
        
26.   Rationalize the denominator of each fraction below:
  • 35
    2
    35
    2
    2
        
27.   Use a trigonometric ratio to find x:
x = 15.00 cm
    
28.   The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=15, b=17
    
29.   After you leave your house, you walk 5 blocks south and 12 blocks west. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   Each side of a square is lengthened by 6 ft. This makes the area of the square 196ft2. What is the original length of a side of the square?
  • 8 ft
        


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