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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -12 and -8? 96
    
2.   Add:   -1 and 20? 19
    
3.   Divide:   2 and 1? 2
    
4.   Substract:   -2 and 12? -14
    
5.   Calculate: |13 + 11 · 6| 79
    
6.   Simplify the following expressions:
  • 13 + 13 – -15x 26+15x
        
  • 2y + -3x + -5 – -17y -5-3x+19y
        
  • 16y – 2z – 12y + -15y – -6 6-11y-2z
        
  • y3 × x-11 × y12 x-11 × y15
        
  • x11
    x4
    x7
        
  • (4x2)9 262144x18
        
7.   Which of the following expressions show the associative property?
  • 2 × 1 = 2
  • ( m × n ) + 9 = 9 + ( m × n )
  • ( x × y ) × z = x × ( y × z )
  • ( -10 + -1 ) × 4 = 4 × ( -10 + -1 )
C
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + s + t + u = s + t + u
  • -2 × -13 + -3 = -3 + -2 × -13
  • (y + 9) × (x + -4) = (x + -4) × (y + 9)
  • Identity property of multiplication, Associative property of multiplication and Associative property of addition
  • Identity property of addition, Distributive property and Associative property of multiplication
  • Identity property of addition, Commutative property of addition and Commutative property of multiplication
  • Identity property of multiplication, Commutative property of addition and Commutative property of multiplication
C
    
9.   Solve the following equations for x:
  • 5 + -x = -59 x = 64
        
  • 28
    19
    = -
    4
    19
    x x = -7
        
  • 11 = 64x + -53 x = 1
        
  • -d = ex x = -d/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 19x + -8 ≤ -27 x ≤ -1
        
  • x ≠ -291
  • 28 < x < 99
  • 22
    11
    x > 2 x > 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000772 7.72 × 10-11
        
  • 880000 8.8 × 105
        
12.   Add the following polynomials:
  • 6z10 + 3z5 + -1z4 + -13  and  -2z10 + 4z5 + -12z4 + 3
    4z10 + 7z5 + -13z4 + -10
        
  • -7z18 + -11z13 + -1z11 + 4z8  and  3z18 + 1z17 + 12z16 + 8z12 + -10z3 -4z18 + 1z17 + 12z16 + -11z13 + 8z12 + -1z11 + 4z8 + -10z3
        
13.   Multiply the following polynomials and simplify:
  • 3x(3x5 + 9x4 + x2)
    9x6 + 27x5 + 3x3
        
  • (10x3 + 8x + 10)(5x4 + 8x3)
    50x7 + 80x6 + 40x5 + 114x4 + 80x3
        
14.   Divide:
  • 20x2 - 21x - 27 / 4x + 3
    5x - 9
        
15.   Find the greatest common factor of the following terms:
  • 26, 60, 42
    2
        
  • 12xy2, 96x10y9, 36x8y9
    12xy2
        
16.   Factor the following polynomials:
  • 16x4 + 32x3 + 11x2
    16x2(x -
    -4 +
    5
    4
    )(x -
    -4 -
    5
    4
    )
        
  • x2 - 3x - 18
    (x + 3)(x - 6)
        
  • x8 + 8x7 - 48x6
    x6(x + 12)(x - 4)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -3
    and
    6


        
  • x =
    0
    ,
    -12

    and
    4
        
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:
  • 10, 33, 28, 8, 17, 15, 23, 4
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 12
  • What is the probability of getting heads and 7?
    4.17%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting heads and a multiple of 4?
    12.5%
        
  • What is the probability of getting heads and a prime number?
    20.83%
        
  • What is the probability of not heads and not 12?
    45.83%
        
  • 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 = -18
    x - y = -14
    A(-16,-2)
        
  • 7x - 8y = 20
    4x + 3y = -20

    B(-1.89,-4.15)
        
22.   Write the following fractions in simplest form:
  • 25x3y5
    75x6y7
    1
    3x3y2
        
  • (x + 7)2
    (x + 7)6
    1
    (x + 7)4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 24x = x2 + 63
    x1 = 3,   x2 = 21
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.95
    95
    99
        
25.   Solve the following equation:
  • 32
    x
    = 4
    x = 2
        
26.   Rationalize the denominator of each fraction below:
  • 4
    6
    + 21
    -
    4
    6
    - 84
    435
        
27.   Use a trigonometric ratio to find x:
x = 17.32 cm
    
28.   The sum of two consecutive odd integers is 44. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=21, b=23
    
29.   After you leave your house, you walk 12 blocks south and 9 blocks west. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   The length of a rectangle is 6 less than 6 times the width. What are the dimensions of the rectangle if the area is 120m2?
  • width = 5,  length = 24
        


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