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Algebra test generator



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Important instructions

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1.   Multiply:   13 and -13? -169
    
2.   Add:   -9 and 9? 0
    
3.   Divide:   -18 and -18? 1
    
4.   Substract:   -1 and 6? -7
    
5.   Calculate: |-19 + -6 · 15| 109
    
6.   Simplify the following expressions:
  • -3x – -19x – -16x 32x
        
  • 16y – -11x + 3y – -9 9+11x+19y
        
  • -8z – -17 + 20 + 20x + -20y + 18 55+20x-20y-8z
        
  • x-8 × y3 x-8 × y3
        
  • x-19
    x-6
    x-13
        
  • (7x)9 40353607x9
        
7.   Which of the following expressions show the associative property?
  • 7 × -7 = -7 × 7
  • ( x × y ) + 8 = 8 + ( y × x )
  • ( m × n ) × 6 = m × ( n × 6 )
  • 7 + 10q + 4
C
    
8.   Which properties are illustrated by the following three expressions?
  • z × ( -11 + 14 ) = z × -11 + z × 14
  • -2 × (g + h) = (g + h) × -2
  • -3 + ( 12 + -10 ) = ( -3 + 12 ) + -10
  • Associative property of multiplication, Identity property of multiplication and Commutative property of multiplication
  • Commutative property of multiplication, Associative property of addition and Associative property of multiplication
  • Distributive property, Commutative property of multiplication and Identity property of multiplication
  • Distributive property, Commutative property of multiplication and Associative property of addition
D
    
9.   Solve the following equations for x:
  • 16 – -x = -35 x = -51
        
  • 1
    25
    x = -
    6
    25
    x = -6
        
  • 10x + 36 = 96 x = 6
        
  • ax = -b x = -b/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -68x + 28 > -40 x < 1
        
  • x ≠ -520
  • -65 > x > 18
  • 9
    3
    x ≤
    27
    9
    x ≤ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000127 1.27 × 10-5
        
  • 214000000000 2.14 × 1011
        
12.   Add the following polynomials:
  • 15z7 + -14z6 + -4z4 + 11  and  -14z7 + -8z4
    1z7 + -14z6 + -12z4 + 11
        
  • 11z18 + -9z9 + 5z8 + -13z4 + 2z1  and  2z9 + -4z8 + 15z4 + -15z1 11z18 + -7z9 + 1z8 + 2z4 + -13z1
        
13.   Multiply the following polynomials and simplify:
  • 3x(4x5 + 7x2 + 4)
    12x6 + 21x3 + 12x
        
  • (8x5 + 6x2 + 3)(8x4 - 5)
    64x9 + 48x6 - 40x5 + 24x4 - 30x2 - 15
        
14.   Divide:
  • 9x3 - 18x2 + 3x - 6 / 3x - 6
    3x2 + 1
        
15.   Find the greatest common factor of the following terms:
  • 44, 60, 39
    1
        
  • 24y, 60x9y4
    12y
        
16.   Factor the following polynomials:
  • 34x3 + 34x2 - 68x
    34x(x - 1)(x + 2)
        
  • x2 - 2x - 3
    (x - 3)(x + 1)
        
  • x8 - 4x7 - 32x6
    x6(x + 4)(x - 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    -1


        
  • x =
    0
    ,
    -4

    and
    8
        
18.   How many ways can 4 people wait in line?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 6, 5, 8, 35, 40, 20, 9, 12, 11
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 13
  • What is the probability of getting tails and 6?
    3.85%
        
  • What is the probability of getting tails and an even number?
    23.08%
        
  • What is the probability of getting heads and a multiple of 2?
    23.08%
        
  • What is the probability of getting heads and a prime number?
    23.08%
        
  • What is the probability of not tails and not 11?
    46.15%
        
  • What is the probability of getting not heads 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 = 12
    x - y = -16
    A(-2,14)
        
  • 4x - y = 3
    10x + 2y = 5

    B(0.61,-0.56)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x2(x + 9)
    x3 + 13x2 + 36x
    x
    (x + 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 - 24 = -2x
    x1 = 4,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 7.238
    7231
    999
        
25.   Solve the following equation:
  • 17
    x
    - 4 = -4
    x
    + 17
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 21
    15
    9 +
    7
    189
    15
    - 21
    105
    74
        
27.   Use a trigonometric ratio to find x:
x = 22.00 cm
    
28.   The sum of two consecutive even integers is 46. What are the integers? (Hint: use 2x as the first even integer)
a=22, b=24
    
29.   After you leave your house, you walk 5 blocks west and 12 blocks south. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   The length of a rectangle is 7 less than 7 times the width. What are the dimensions of the rectangle if the area is 42m2?
  • width = 3,  length = 14
        


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