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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -17 and 2? -34
    
2.   Add:   17 and 16? 33
    
3.   Divide:   12 and 3? 4
    
4.   Substract:   10 and 4? 6
    
5.   Calculate: |-6 + 20 · -8| 166
    
6.   Simplify the following expressions:
  • -8x – -5x + -13 -13-3x
        
  • -18x + -12y + -20x – 17y -38x-29y
        
  • 17z + -14z – 17y – -1y – -7 7-16y+3z
        
  • y19 × y5 × y-14 × x-7 x-7 × y10
        
  • x-3
    x1
    x-4
        
  • (6x2)5 7776x10
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × 8 = m × ( n × 8 )
  • -6 + -5 = -5 + -6
  • 4x + 6 = 6 + 4x
  • 0 + 8x = 8x
A
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + 28 = 28
  • -17 × 9 + -11 = -11 + -17 × 9
  • 1 × 17 = 17
  • Commutative property of addition, Associative property of multiplication and Distributive property
  • Commutative property of addition, Associative property of multiplication and Identity property of multiplication
  • Identity property of multiplication, Identity property of addition and Commutative property of multiplication
  • Identity property of addition, Commutative property of addition and Identity property of multiplication
D
    
9.   Solve the following equations for x:
  • -8 + x = 13 x = 21
        
  • 12
    30
    = -
    6
    30
    x x = -2
        
  • -63 = 43 + 2x x = -53
        
  • -gx = -e + c x = (e-c)/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -17x – 21 < 30 x > -3
        
  • x ≠ -581
  • -54 < x < 98
  • 30
    10
    x ≥ -
    12
    4
    x ≥ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.000000795 7.95 × 10-7
        
  • 849000000 8.49 × 108
        
12.   Add the following polynomials:
  • 8z8 + -4z5  and  -9z7 + -9z6 + -9z5 + 3z3 + 10z1
    8z8 + -9z7 + -9z6 + -13z5 + 3z3 + 10z1
        
  • -10z17 + 12z12 + -13z5 + -14z3  and  -1z12 + -3z10 + -7z3 -10z17 + 11z12 + -3z10 + -13z5 + -21z3
        
13.   Multiply the following polynomials and simplify:
  • (4x3 + 9x - 5)6x5
    24x8 + 54x6 - 30x5
        
  • (7x3 + 7x + 6)(3x4 + 6x + 9)
    21x7 + 21x5 + 60x4 + 63x3 + 42x2 + 99x + 54
        
14.   Divide:
  • 20x3 - 5x2 - 16x + 4 / 4x - 1
    5x2 - 4
        
15.   Find the greatest common factor of the following terms:
  • 42, 90, 72
    6
        
  • 39y5, 90x9y7, 40x9y6
    y5
        
16.   Factor the following polynomials:
  • 26x4 + 5x3 - 51x2
    26x2(x +
    3
    2
    )(x -
    17
    13
    )
        
  • x2 - 2x - 35
    (x - 7)(x + 5)
        
  • x4 + 4x3 + 3x2
    x2(x + 1)(x + 3)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    7
    and
    -5


        
  • x =
    0
    ,
    -1

    and
    -3
        
18.   You have 7 CDs. How many different ways can you listen to them?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 2, 33, 9, 19, 31, 6, 38, 26, 23
        
20.   A bag contains 4 blue balls, 5 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?
    35.71%
        
  • A blue ball or red ball?
    64.29%
        
  • Two red balls?
    12.76%
        
  • A blue ball and a white ball?
    10.20%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -3
    x - y = 18
    A(7.5,-10.5)
        
  • 3x - 7y = 3
    13x + 5y = 13

    B(1,0)
        
22.   Write the following fractions in simplest form:
  • 11x3y
    44x3y8
    1
    4y7
        
  • (x + 3)5
    (x + 3)6
    1
    x + 3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 22 = 23x
    x1 = 22,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.952
    952
    999
        
25.   Solve the following equation:
  • 2
    x
    + 14 = 11
    x
    - 4
    x = 4
        
26.   Rationalize the denominator of each fraction below:
  • 7
    3 -
    14
    -
    21 + 7
    14
    5
        
27.   Use a trigonometric ratio to find x:
x = 35.36 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 12 blocks east and 16 blocks north. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   A rectangle has an area of 8m2. Its width is 7 m less than its length. What are the dimensions of the rectangle?
  • width = 1,  length = 8
        


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