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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -8 and -1? 8
    
2.   Add:   -17 and -18? -35
    
3.   Divide:   19 and -1? -19
    
4.   Substract:   -9 and -6? -3
    
5.   Calculate: |-15 + 8 · -16| 143
    
6.   Simplify the following expressions:
  • -18x – 7x + -1x -26x
        
  • 20y + 19y + 14x + -16y 14x+23y
        
  • -16y + -10z – 12x – 11x – -15x -8x-16y-10z
        
  • y15 × y19 × y6 y40
        
  • x-18
    x-4
    x-14
        
  • (6x5)5 7776x25
        
7.   Which of the following expressions show the associative property?
  • 7 × -4 = -4 × 7
  • 5 + 2y + 3
  • a + b = b + a
  • ( m + n ) + 7 = m + ( n + 7 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × -21 = -21
  • u + 16 + 0 = u + 16
  • x × ( y + 0 ) = x × y + x × 0
  • Commutative property of addition, Distributive property and Identity property of addition
  • Identity property of multiplication, Identity property of addition and Distributive property
  • Identity property of addition, Commutative property of addition and Identity property of multiplication
  • Commutative property of multiplication, Associative property of multiplication and Identity property of addition
B
    
9.   Solve the following equations for x:
  • x – -50 = 35 x = -15
        
  • -
    13
    20
    x = -
    13
    20
    x = 1
        
  • 83 – 7x = -15 x = 14
        
  • -a + d = -ex x = (a-d)/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 35x – -11 > -24 x > -1
        
  • x ≠ -32
  • 29 < x ≤ 37
  • 36
    2
    x ≤ -
    36
    2
    x ≤ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000879 8.79 × 10-9
        
  • 4780000000 4.78 × 109
        
12.   Add the following polynomials:
  • -14z9 + -5z8 + 6z7 + -7z3  and  -7z9 + 15z8 + -11z7 + 1z3 + 15
    -21z9 + 10z8 + -5z7 + -6z3 + 15
        
  • -9z18 + -8z15 + 3z9 + -4  and  10z18 + -8z10 + -14 1z18 + -8z15 + -8z10 + 3z9 + -18
        
13.   Multiply the following polynomials and simplify:
  • 6x5(9x2 + 2)
    54x7 + 12x5
        
  • (4x5 + 2x3)(7x4 + x)
    28x9 + 14x7 + 4x6 + 2x4
        
14.   Divide:
  • 15x2 + 75x + 109 / 3x + 9
    (5x + 10) with a remainder of 19
        
15.   Find the greatest common factor of the following terms:
  • 72, 54, 50
    2
        
  • 84x7y9, 26xy
    2xy
        
16.   Factor the following polynomials:
  • 64x5 + 0x4 - 64x3
    64x3(x + 1)(x - 1)
        
  • x2 + x - 30
    (x - 5)(x + 6)
        
  • x9 - 16x8 + 64x7
    x7(x - 8)(x - 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    -6


        
  • x =
    0
    ,
    8

    and
    8
        
18.   You have 7 books to read. How many different ways can you read your books?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 14, 30, 19, 24, 35, 2, 1
        
20.   A bag contains 3 blue balls, 3 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    33.33%
        
  • A blue ball or red ball?
    66.67%
        
  • Two red balls?
    11.11%
        
  • A blue ball and a white ball?
    11.11%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -17
    x - y = 6
    A(-5.5,-11.5)
        
  • 4x - y = 12
    7x + 3y = 3

    B(2.05,-3.79)
        
22.   Write the following fractions in simplest form:
  • 13x8y2
    26x10y5
    1
    2x2y3
        
  • (x - 10)
    (x - 10)5
    1
    (x - 10)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 + 52 = 28x
    x1 = 26,   x2 = 2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 7.49
    742
    99
        
25.   Solve the following equation:
  • 5 +
    3x - 6
    = 14
    x = 29
        
26.   Rationalize the denominator of each fraction below:
  • 1
    2 +
    14
    -
    2 -
    14
    10
        
27.   Use a trigonometric ratio to find x:
x = 21.94 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 south and 6 blocks west. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   Each side of a square is lengthened by 6 ft. This makes the area of the square 225ft2. What is the original length of a side of the square?
  • 9 ft
        


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