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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -13 and 8? -104
    
2.   Add:   -7 and -12? -19
    
3.   Divide:   -5 and -1? 5
    
4.   Substract:   -2 and 17? -19
    
5.   Calculate: |12 + 12 · 18 + 12| 240
    
6.   Simplify the following expressions:
  • 18 + -11 – -7x 7+7x
        
  • -15 – -3y – 13y – 4x -15-4x-10y
        
  • 7y – 7 + 6y – 18x + -3 – -19 9-18x+13y
        
  • y12 × x-6 x-6 × y12
        
  • x15
    x-19
    x34
        
  • (7x3)7 823543x21
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) + 6 = 6 + ( m × n )
  • ( m + n ) + p = m + ( n + p )
  • 2 + 7m + 6
  • a + b = b + a
B
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × (h + i) = h + i
  • -11 × -8 + -15 = -15 + -11 × -8
  • ( z + 1 ) × y = z × y + 1 × y
  • Identity property of multiplication, Commutative property of addition and Distributive property
  • Associative property of multiplication, Associative property of addition and Identity property of multiplication
  • Identity property of multiplication, Commutative property of addition and Associative property of addition
  • Commutative property of addition, Identity property of addition and Commutative property of multiplication
A
    
9.   Solve the following equations for x:
  • 63 = 34 – -x x = 29
        
  • -
    7
    5
    x =
    14
    5
    x = -2
        
  • -97 = 89x + 81 x = -2
        
  • a = g – dx x = (-a+g)/d
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 3x – -4 < -35 x < -13
        
  • x ≠ -186
  • -15 < x ≥ -63
  • -
    16
    8
    x > -34 x < 17
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000219 2.19 × 10-9
        
  • 17900000 1.79 × 107
        
12.   Add the following polynomials:
  • -9z9 + -15z5 + 8z4 + 3z3  and  9z9 + -1z6 + -4z4 + -3z3 + -2z1
    -1z6 + -15z5 + 4z4 + -2z1
        
  • -7z17 + 1z12 + -13z10 + -1z7  and  13z17 + 8z10 + 4z7 6z17 + 1z12 + -5z10 + 3z7
        
13.   Multiply the following polynomials and simplify:
  • (1x5 + 10x)10x5
    10x10 + 100x6
        
  • (2x2 + 7x - 10)(9x5 + 10x4)
    18x7 + 83x6 - 20x5 - 100x4
        
14.   Divide:
  • 8x2 + 50x + 63 / 2x + 9
    4x + 7
        
15.   Find the greatest common factor of the following terms:
  • 36, 55
    1
        
  • 88x8y7, 99x2y6, 66x3y6
    11x2y6
        
16.   Factor the following polynomials:
  • 30x3 - 75x2 + 15x
    30x(x -
    5 +
    17
    4
    )(x -
    5 -
    17
    4
    )
        
  • x2 - 6x - 27
    (x - 9)(x + 3)
        
  • x5 + 11x4 + 24x3
    x3(x + 3)(x + 8)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    9
    and
    -3


        
  • x =
    0
    ,
    -3

    and
    -8
        
18.   You are seating 6 people on 6 chairs. How many different ways can those people sit?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 8, 34, 11, 7, 25, 10, 12
        
20.   A bag contains 4 blue balls, 4 red balls, and 6 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    42.86%
        
  • A blue ball or red ball?
    57.14%
        
  • Two red balls?
    8.16%
        
  • A blue ball and a white ball?
    12.24%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -8
    x - y = -10
    A(-9,1)
        
  • 7x - 2y = 9
    3x + 8y = 2

    B(1.23,-0.21)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 7)7
    (x + 7)4
    (x + 7)3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -24 = x2 - 10x
    x1 = 4,   x2 = 6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.85
    85
    99
        
25.   Solve the following equation:
  • -3
    x
    + 2 = -5
    x
    + 16
    x = 49
        
26.   Rationalize the denominator of each fraction below:
  • 9
    30
    3
    30
    10
        
27.   Use a trigonometric ratio to find x:
x = 32.91 cm
    
28.   The sum of two consecutive even integers is 42. What are the integers? (Hint: use 2x as the first even integer)
a=20, b=22
    
29.   After you leave your house, you walk 8 blocks east and 6 blocks south. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   Each side of a square is decreased by 4 ft. The area of the newly created square is 361ft2. What was the original length of one side of the square?
  • 23 ft
        


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