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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -7 and 10? -70
    
2.   Add:   56 and -7? 49
    
3.   Divide:   59 and -1? -59
    
4.   Substract:   73 and -60? 133
    
5.   Calculate: |-94 · 67 + -52| 6350
    
6.   Simplify the following expressions:
  • -61x + -62 – 73x -62-134x
        
  • 26x + 76y + 94y – -42y 26x+212y
        
  • 63 + 85x – 38x + 48y + -78z – 77 -14+47x+48y-78z
        
  • y-73 × y24 × x-74 × y61 x-74 × y12
        
  • x-43
    x-99
    x56
        
  • (8x4)6 262144x24
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) + 4 = 4 + ( m × n )
  • ( 4 × 6 ) × 3 = 4 × ( 6 × 3 )
  • 6 + 5i + 9
  • ( 9 + -8 ) × 10 = 10 × ( 9 + -8 )
B
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (r + s) = r + s
  • 0 + w + 6 = w + 6
  • 12 + ( 5 + 15 ) = ( 12 + 5 ) + 15
  • Identity property of multiplication, Identity property of addition and Associative property of addition
  • Associative property of addition, Commutative property of multiplication and Commutative property of addition
  • Associative property of addition, Commutative property of multiplication and Identity property of addition
  • Associative property of multiplication, Commutative property of multiplication and Identity property of addition
A
    
9.   Solve the following equations for x:
  • x · 73 = -73 x = -1
        
  • 1
    7
    x =
    5
    7
    x = 5
        
  • -2x + -62 = 86 x = -74
        
  • a = -cx x = -a/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 69x – 37 < 32 x < 1
        
  • x ≠ -339
  • 7 ≤ x ≥ 66
  • 9
    3
    x <
    24
    4
    x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000215 2.15 × 10-10
        
  • 1870000 1.87 × 106
        
12.   Add the following polynomials:
  • 8z4 + -9z3 + -16  and  -19z9 + -1z4 + 3z3
    -19z9 + 7z4 + -6z3 + -16
        
  • -13z17 + -50z13 + -5z11 + 25z9  and  -39z20 + 34z11 + -4z9 + 23z6 -39z20 + -13z17 + -50z13 + 29z11 + 21z9 + 23z6
        
13.   Multiply the following polynomials and simplify:
  • 8x3(2x4 + 5x2 + 2x)
    16x7 + 40x5 + 16x4
        
  • (2x5 + x2 - 6)(4x2 - 9)
    8x7 - 18x5 + 4x4 - 33x2 + 54
        
14.   Divide:
  • 15x2 - 27x + 12 / 3x - 3
    5x - 4
        
15.   Find the greatest common factor of the following terms:
  • 378, 420
    42
        
  • 90x10y4, 192x8y9, 144x4y
    6x4y
        
16.   Factor the following polynomials:
  • 40x3 + 20x2 - 60x
    40x(x - 1)(x +
    3
    2
    )
        
  • x2 + 4x + 4
    (x + 2)(x + 2)
        
  • x7 + 10x6 - 39x5
    x5(x - 3)(x + 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    -2


        
  • x =
    0
    ,
    3

    and
    -13
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one or two scoops. Flavors can be chocolate, vanilla, strawberry or peach. How many choices do you have?
  • 16
        
19.   Use the following data to construct a box and whiskers plot:
  • 6, 19, 21, 2, 34, 20, 35, 1
        
20.   A bag contains 5 blue balls, 7 red balls, and 2 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    14.29%
        
  • A blue ball or red ball?
    85.71%
        
  • Two red balls?
    25.00%
        
  • A blue ball and a white ball?
    5.10%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -13
    x - y = -8
    A(-10.5,-2.5)
        
  • x - 4y = -9
    8x + 4y = -14

    B(-2.56,1.61)
        
22.   Write the following fractions in simplest form:
  • 24x8y2
    12x6y5
    2x2
    y3
        
  • (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.
  • -26x = x2 + 88
    x1 = -22,   x2 = -4
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.564
    559
    990
        
25.   Solve the following equation:
  • 20
    x
    = 2
    x = 5
        
26.   Rationalize the denominator of each fraction below:
  • 15
    14
    15
    14
    14
        
27.   Use a trigonometric ratio to find x:
x = 18.48 cm
    
28.   The sum of two consecutive odd integers is 24. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=11, b=13
    
29.   After you leave your house, you walk 4 blocks east and 3 blocks north. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   The length of a rectangle is 3 less than 3 times the width. What are the dimensions of the rectangle if the area is 270m2?
  • width = 10,  length = 27
        


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