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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   6 and 17? 102
    
2.   Add:   13 and 2? 15
    
3.   Divide:   20 and -20? -1
    
4.   Substract:   16 and 13? 3
    
5.   Calculate: |-9 + 12 · -2 + -1| 34
    
6.   Simplify the following expressions:
  • -11x – 10x – 15x -36x
        
  • -4y + -2y + 10x + -6y 10x-12y
        
  • 12y – -18x – 10z – 6 – -20x + 13z -6+38x+12y+3z
        
  • x3 × x15 × x-12 x6
        
  • x19
    x-3
    x22
        
  • (10x)2 100x2
        
7.   Which of the following expressions show the associative property?
  • ( x + y ) × 6 = 6 × ( y + x )
  • ( -6 × 6 ) + -7 = -7 + ( -6 × 6 )
  • ( x × y ) × z = x × ( y × z )
  • 3x + 2 = 2 + 3x
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( -14 × 17 ) × 18 = -14 × ( 17 × 18 )
  • 13 × 19 = 13 × 19
  • 0 + o + p + q = o + p + q
  • Identity property of addition, Identity property of multiplication and Commutative property of multiplication
  • Commutative property of addition, Commutative property of multiplication and Associative property of addition
  • Commutative property of addition, Distributive property and Identity property of multiplication
  • Associative property of multiplication, Commutative property of multiplication and Identity property of addition
D
    
9.   Solve the following equations for x:
  • 65 = 65 · x x = 1
        
  • 20
    17
    = -
    4
    17
    x x = -5
        
  • 34x – 30 = -64 x = -1
        
  • f = gx x = f/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + 26 < -9 x > 35
        
  • x ≠ -26
  • -20 > x ≤ 30
  • 39
    13
    x ≤ 3 x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000208 2.08 × 10-8
        
  • 24200 2.42 × 104
        
12.   Add the following polynomials:
  • -8z4 + -11z1  and  1z8 + 7z7 + -8z6 + 13z3 + -12
    1z8 + 7z7 + -8z6 + -8z4 + 13z3 + -11z1 + -12
        
  • -6z20 + 8z16 + 14z4  and  -11z20 + 12z16 + -8z6 -17z20 + 20z16 + -8z6 + 14z4
        
13.   Multiply the following polynomials and simplify:
  • (8x4 + 3x3 + 6)-3
    -24x4 - 9x3 - 18
        
  • (2x + 10)(1x2 + 9)
    2x3 + 10x2 + 18x + 90
        
14.   Divide:
  • 16x2 - 20x + 33 / 4x - 3
    (4x - 2) with a remainder of 27
        
15.   Find the greatest common factor of the following terms:
  • 45, 60
    15
        
  • 50y10, 99xy6
    y6
        
16.   Factor the following polynomials:
  • 41x5 + 41x4 - 82x3
    41x3(x + 2)(x - 1)
        
  • x2 - x - 72
    (x + 8)(x - 9)
        
  • x6 + 8x5 - 9x4
    x4(x - 1)(x + 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -8
    and
    9


        
  • x =
    0
    ,
    1

    and
    -9
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, three, or four scoops. Flavors can be chocolate, vanilla, strawberry, peach or kiwi. How many choices do you have?
  • 40
        
19.   Use the following data to construct a box and whiskers plot:
  • 27, 14, 15, 16, 9, 10, 40, 24, 39
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 20
  • What is the probability of getting heads and 20?
    2.50%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting tails and a multiple of 9?
    5%
        
  • What is the probability of getting tails and a prime number?
    20%
        
  • What is the probability of not heads and not 12?
    47.5%
        
  • What is the probability of getting not tails and not a whole number?
    0%
        
  • What is the probability of heads or tails and a whole number?
    100%
        
  • What is the probability of getting heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -15
    x - y = -11
    A(-13,-2)
        
  • 10x - y = -2
    7x + 2y = -3

    B(-0.26,-0.59)
        
22.   Write the following fractions in simplest form:
  • 7x4y6
    28x8y6
    1
    4x4
        
  • (x2 + 16x + 64)
    (x + 8)
    x + 8
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 78 = x2 - 37x
    x1 = 39,   x2 = -2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.427
    423
    990
        
25.   Solve the following equation:
  • 8
    x
    = 2
    x = 2
        
26.   Rationalize the denominator of each fraction below:
  • 6
    10
    5
    6
    2
    15
    5
        
27.   Use a trigonometric ratio to find x:
x = 14.50 cm
    
28.   The sum of two consecutive odd integers is 20. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=9, b=11
    
29.   After you leave your house, you walk 16 blocks west and 12 blocks north. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   The length of a rectangle is 8 less than 2 times the width. What are the dimensions of the rectangle if the area is 120m2?
  • width = 10,  length = 12
        


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