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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   1 and 1? 1
    
2.   Add:   -5 and -5? -10
    
3.   Divide:   4 and -4? -1
    
4.   Substract:   -15 and 15? -30
    
5.   Calculate: |-17 + 9 · 18| 145
    
6.   Simplify the following expressions:
  • 6x – -13x – -11 11+19x
        
  • -15 + -20 + -4x – 17y -35-4x-17y
        
  • -19y – 5z + 1 – -19x – -20 21+19x-19y-5z
        
  • x-10 × y4 x-10 × y4
        
  • x-20
    x-4
    x-16
        
  • (4x3)8 65536x24
        
7.   Which of the following expressions show the associative property?
  • ( 6 + 9 ) + 3 = 6 + ( 9 + 3 )
  • -3 × 1 = -3
  • -7x + -4 = -4 + -7x
  • ( x + y ) × 3 = 3 × ( y + x )
A
    
8.   Which properties are illustrated by the following three expressions?
  • -5 × 1 = -5
  • ( y + 0 ) × x = y × x + 0 × x
  • -3z + 8 = 8 + -3z
  • Associative property of multiplication, Commutative property of multiplication and Identity property of addition
  • Commutative property of multiplication, Distributive property and Associative property of addition
  • Identity property of addition, Identity property of multiplication and Commutative property of addition
  • Identity property of multiplication, Distributive property and Commutative property of addition
D
    
9.   Solve the following equations for x:
  • 31 = x + -64 x = 95
        
  • 17
    7
    x = -
    17
    7
    x = -1
        
  • -34 = -5x + -49 x = -3
        
  • f = -ax x = -f/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -6x + 14 > 26 x < -2
        
  • x ≠ 822
  • 83 ≤ x < -3
  • -
    22
    11
    x > -
    24
    2
    x < 6
        
11.   Convert the following numbers into scientific notation:
  • 0.0000949 9.49 × 10-5
        
  • 8750000 8.75 × 106
        
12.   Add the following polynomials:
  • -12z9 + -8z4 + 7z3 + -9z1  and  -12z9 + 7z4 + 10z3 + -15z1
    -24z9 + -1z4 + 17z3 + -24z1
        
  • 10z19 + -8z18 + 2z17 + 1z11 + -3z5  and  5z18 + -5z17 + -15z11 + -8z5 10z19 + -3z18 + -3z17 + -14z11 + -11z5
        
13.   Multiply the following polynomials and simplify:
  • (8x5 - 5)10x4
    80x9 - 50x4
        
  • (9x5 + 3x3 + 8x2)(8x3 + 5x2 + 4x)
    72x8 + 45x7 + 60x6 + 79x5 + 52x4 + 32x3
        
14.   Divide:
  • 25x2 - 50x + 17 / 5x - 9
    (5x - 1) with a remainder of 8
        
15.   Find the greatest common factor of the following terms:
  • 52, 63, 60
    1
        
  • 22xy6, 66x3y4, 26x5y5
    2xy4
        
16.   Factor the following polynomials:
  • 68x5 + 72x4 + 4x3
    68x3(x +
    1
    17
    )(x + 1)
        
  • x2 - 9x + 18
    (x - 3)(x - 6)
        
  • x8 + 3x7 - 70x6
    x6(x - 7)(x + 10)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    6


        
  • x =
    0
    ,
    7

    and
    -10
        
18.   You have 6 books to read. How many different ways can you read your books?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 11, 22, 20, 35, 24, 32, 18
        
20.   A bag contains 3 blue balls, 2 red balls, and 7 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    58.33%
        
  • A blue ball or red ball?
    41.67%
        
  • Two red balls?
    2.78%
        
  • A blue ball and a white ball?
    14.58%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 14
    x - y = 1
    A(7.5,6.5)
        
  • 4x - 3y = -11
    10x + 9y = -19

    B(-2.36,0.52)
        
22.   Write the following fractions in simplest form:
  • 48x2y7
    24xy4
    2xy3
        
  • (x + 3)
    (x + 3)5
    1
    (x + 3)4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 41x = -78
    x1 = -2,   x2 = -39
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.4
    4
    9
        
25.   Solve the following equation:
  • -5
    x
    - 6 = -17
    x
    + 6
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 9
    2
    - 2
    -
    9
    2
    + 18
    2
        
27.   Use a trigonometric ratio to find x:
x = 32.33 cm
    
28.   The sum of two consecutive even integers is 38. What are the integers? (Hint: use 2x as the first even integer)
a=18, b=20
    
29.   After you leave your house, you walk 6 blocks east and 8 blocks north. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   A rectangle has an area of 21m2. Its width is 4 m less than its length. What are the dimensions of the rectangle?
  • width = 3,  length = 7
        


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