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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -75 and -71? 5325
    
2.   Add:   -32 and -50? -82
    
3.   Divide:   73 and -73? -1
    
4.   Substract:   89 and 93? -4
    
5.   Calculate: |27 · 4 + 58| 166
    
6.   Simplify the following expressions:
  • -65 + 47x – 97x -65-50x
        
  • 87y – 75x – 91y – -62y -75x+58y
        
  • 31 – 71x + 11z + 85x – -36 67+14x+11z
        
  • x6 × x97 × x-48 × x-91 x-36
        
  • x50
    x-84
    x134
        
  • (7x)10 282475249x10
        
7.   Which of the following expressions show the associative property?
  • 10 × ( y + 9 + 4 ) = 10×y + 10×9 + 10×4
  • ( x + y ) × 8 = 8 × ( y + x )
  • ( m × n ) × 8 = m × ( n × 8 )
  • 4 + 7z + 3
C
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × -3 = -3
  • k + 15 + 0 = k + 15
  • t × ( u + v ) = t × u + t × v
  • Identity property of multiplication, Identity property of addition and Distributive property
  • Identity property of multiplication, Associative property of multiplication and Commutative property of multiplication
  • Distributive property, Associative property of multiplication and Commutative property of multiplication
  • Associative property of multiplication, Commutative property of addition and Distributive property
A
    
9.   Solve the following equations for x:
  • -26 · -x = 52 x = 2
        
  • 21
    24
    = -
    3
    24
    x x = -7
        
  • 73 = -99 + -2x x = -86
        
  • -a = cx x = -a/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 5x + -31 > -36 x > -1
        
  • x ≠ 114
  • 67 < x ≤ -42
  • -
    26
    13
    x ≤ 14 x ≥ -7
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000942 9.42 × 10-8
        
  • 67000 6.7 × 104
        
12.   Add the following polynomials:
  • 2z9 + -14z5 + 3z4 + 12z3  and  7z9 + -18z7 + 16z4 + -4z3
    9z9 + -18z7 + -14z5 + 19z4 + 8z3
        
  • 27z15 + -15z12 + 19z5 + 46z1  and  -14z15 + -50z12 + 45z9 13z15 + -65z12 + 45z9 + 19z5 + 46z1
        
13.   Multiply the following polynomials and simplify:
  • (7x4 + x3 + 4x2)(5x4 + 6x)
    35x8 + 5x7 + 20x6 + 42x5 + 6x4 + 24x3
        
  • (10x4 + 8x)(10x4 + 10x3)
    100x8 + 100x7 + 80x5 + 80x4
        
14.   Divide:
  • 10x2 - 70x + 119 / 2x - 10
    (5x - 10) with a remainder of 19
        
15.   Find the greatest common factor of the following terms:
  • 432, 429, 120
    3
        
  • 180x7y6, 396x5y7
    36x5y6
        
16.   Factor the following polynomials:
  • x4 + 9x3 + 16x2
    x2(x -
    -9 +
    17
    2
    )(x -
    -9 -
    17
    2
    )
        
  • x2 - 10x + 16
    (x - 2)(x - 8)
        
  • x4 + 0x3 - 36x2
    x2(x + 6)(x - 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    2
    and
    8


        
  • x =
    0
    ,
    -6

    and
    6
        
18.   You have 3 pants, 4 shirts, and 5 shoes. How many different ways can you dress?
  • 60
        
19.   Use the following data to construct a box and whiskers plot:
  • 4, 28, 15, 27, 34, 32, 11, 33, 10
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 4
  • What is the probability of getting heads and 3?
    12.50%
        
  • What is the probability of getting tails and an odd number?
    25%
        
  • What is the probability of getting tails and a multiple of 2?
    25%
        
  • What is the probability of getting tails and a prime number?
    25%
        
  • What is the probability of not tails and not 3?
    37.5%
        
  • 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 tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 3
    x - y = -4
    A(-0.5,3.5)
        
  • 3x - 6y = 1
    8x + 6y = -8

    B(-0.64,-0.48)
        
22.   Write the following fractions in simplest form:
  • 60x10y
    20x6y
    3x4
        
  • (x2 - 12x + 36)
    (x - 6)
    x - 6
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 6 = 7x
    x1 = 1,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.8
    8
    9
        
25.   Solve the following equation:
  • 5
    x
    = 9
    x =
    25
    81
        
26.   Rationalize the denominator of each fraction below:
  • 2
    35
    + 21
    -
    35
    - 21
    203
        
27.   Use a trigonometric ratio to find x:
x = 19.05 cm
    
28.   The sum of two consecutive even integers is 34. What are the integers? (Hint: use 2x as the first even integer)
a=16, b=18
    
29.   After you leave your house, you walk 8 blocks west and 6 blocks south. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   The length of a rectangle is 6 more than twice its width. The area of the rectangle is 216m2. What is the length and width of the rectangle?
  • width = 9,  length = 24
        


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