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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 5? -15
    
2.   Add:   1 and 7? 8
    
3.   Divide:   3 and 3? 1
    
4.   Substract:   2 and 2? 0
    
5.   Calculate: |6 + 5 · -17| 79
    
6.   Simplify the following expressions:
  • 20x – 16x + -5 -5+4x
        
  • -11y + -16x – -20x + 11x 15x-11y
        
  • -2 – -9y + -17y – -1x – -16z + -3z -2+1x-8y+13z
        
  • y5 × x-19 × x3 x-16 × y5
        
  • x-6
    x10
    x-16
        
  • (3x4)8 6561x32
        
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • 7 × 1 = 7
  • y × ( z + 7 ) = yz + 7z
  • ( m + n ) + 5 = m + ( n + 5 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • l × ( m × n ) = ( l × m ) × n
  • -87 + -34 = -87 + -34
  • 20 × 15 = 20 × 15
  • Identity property of addition, Commutative property of multiplication and Commutative property of addition
  • Associative property of multiplication, Commutative property of addition and Commutative property of multiplication
  • Distributive property, Commutative property of addition and Associative property of multiplication
  • Distributive property, Associative property of addition and Identity property of multiplication
B
    
9.   Solve the following equations for x:
  • x + 35 = -54 x = -89
        
  • -
    28
    13
    = -
    14
    13
    x x = 2
        
  • -42 – -5x = -72 x = -6
        
  • d = c + fx x = (d-c)/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – -35 ≥ 33 x ≥ -2
        
  • x ≠ 145
  • -77 ≥ x ≥ -76
  • -
    16
    8
    x ≤
    32
    16
    x ≥ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000967 9.67 × 10-9
        
  • 76000000 7.6 × 107
        
12.   Add the following polynomials:
  • -5z7 + 11z6 + 14z3 + -1z2 + -2z1  and  14z6 + 1z1 + 6
    -5z7 + 25z6 + 14z3 + -1z2 + -1z1 + 6
        
  • 11z18 + -7z17 + -6z2 + -6z1  and  -4z17 + 9z3 + -15z1 11z18 + -11z17 + 9z3 + -6z2 + -21z1
        
13.   Multiply the following polynomials and simplify:
  • (1x2 + 5x + 4)(1x3 + 3x2)
    x5 + 8x4 + 19x3 + 12x2
        
  • (4x5 + 8x)(8x5 - 6)
    32x10 + 64x6 - 24x5 - 48x
        
14.   Divide:
  • 9x2 - 27x + 20 / 3x - 5
    3x - 4
        
15.   Find the greatest common factor of the following terms:
  • 36, 24, 45
    3
        
  • 42x8y10, 27xy4, 100x7y
    xy
        
16.   Factor the following polynomials:
  • 48x4 + 96x3 + 12x2
    48x2(x -
    -2 +
    3
    2
    )(x -
    -2 -
    3
    2
    )
        
  • x2 + 16x + 63
    (x + 7)(x + 9)
        
  • x6 + 23x5 + 130x4
    x4(x + 13)(x + 10)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -7
    and
    -9


        
  • x =
    0
    ,
    -13

    and
    -10
        
18.   You have 2 pants, 5 shirts, and 3 shoes. How many different ways can you dress?
  • 30
        
19.   Use the following data to construct a box and whiskers plot:
  • 27, 40, 34, 9, 31, 21, 24
        
20.   A bag contains 7 blue balls, 6 red balls, and 5 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    27.78%
        
  • A blue ball or red ball?
    72.22%
        
  • Two red balls?
    11.11%
        
  • A blue ball and a white ball?
    10.80%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 20
    x - y = 17
    A(18.5,1.5)
        
  • 4x - 2y = -8
    8x + y = 17

    B(1.3,6.6)
        
22.   Write the following fractions in simplest form:
  • 88xy
    22xy2
    4
    y
        
  • (x - 6)4
    (x - 6)6
    1
    (x - 6)2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 11x = 26
    x1 = -2,   x2 = 13
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.31
    31
    99
        
25.   Solve the following equation:
  • 9
    x
    = 4
    x =
    81
    16
        
26.   Rationalize the denominator of each fraction below:
  • 2
    9
    35
    21
    2
    21
    245
        
27.   Use a trigonometric ratio to find x:
x = 33.77 cm
    
28.   The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
    
29.   After you leave your house, you walk 12 blocks east and 9 blocks north. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   Each side of a square is lengthened by 4 ft. This makes the area of the square 121ft2. What is the original length of a side of the square?
  • 7 ft
        


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