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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   20 and -6? -120
    
2.   Add:   -10 and 19? 9
    
3.   Divide:   -11 and 11? -1
    
4.   Substract:   9 and 15? -6
    
5.   Calculate: |20 + 8 · 19| 172
    
6.   Simplify the following expressions:
  • 2x – 1x – -11 11+1x
        
  • 18x – -15y + -10y + -9 -9+18x+5y
        
  • 10y + -3 – 16y + 14 + -12y + 11x 11+11x-18y
        
  • y-5 × y8 y3
        
  • x-7
    x7
    x-14
        
  • (8x3)9 134217728x27
        
7.   Which of the following expressions show the associative property?
  • m × ( n + 9 ) = mn + 9n
  • -2 × 1 = -2
  • ( x + y ) × 3 = 3 × ( y + x )
  • ( x + y ) + z = x + ( y + z )
D
    
8.   Which properties are illustrated by the following three expressions?
  • r × ( s + t ) = r × s + r × t
  • 2 × -13 + 9 = 9 + 2 × -13
  • -8 × 9 = -8 × 9
  • Commutative property of multiplication, Commutative property of addition and Identity property of addition
  • Distributive property, Commutative property of addition and Commutative property of multiplication
  • Identity property of multiplication, Associative property of addition and Associative property of multiplication
  • Associative property of multiplication, Identity property of addition and Identity property of multiplication
B
    
9.   Solve the following equations for x:
  • 12 = x · -3 x = -4
        
  • -
    24
    21
    = -
    4
    21
    x x = 6
        
  • -14 – -13x = -92 x = -6
        
  • -ax – b = d x = (b+d)/(-a)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -2x + 9 < -1 x > 5
        
  • x ≠ -704
  • -96 > x > -26
  • -
    8
    4
    x >
    10
    5
    x < -1
        
11.   Convert the following numbers into scientific notation:
  • 0.000000553 5.53 × 10-7
        
  • 2200000000 2.2 × 109
        
12.   Add the following polynomials:
  • 7z5 + 6z4 + 8z3  and  -10z5 + 9z4 + 6z3 + 10z2 + 14z1
    -3z5 + 15z4 + 14z3 + 10z2 + 14z1
        
  • -12z7 + -4z5 + 15z3  and  -8z11 + -11z7 + -4z3 -8z11 + -23z7 + -4z5 + 11z3
        
13.   Multiply the following polynomials and simplify:
  • (1x3 - 8)(5x5 + 3x - 10)
    5x8 - 40x5 + 3x4 - 10x3 - 24x + 80
        
  • (9x5 + 10)(5x5 + x2 + 8x)
    45x10 + 9x7 + 72x6 + 50x5 + 10x2 + 80x
        
14.   Divide:
  • 5x3 + 30x2 - 4x - 24 / x + 6
    5x2 - 4
        
15.   Find the greatest common factor of the following terms:
  • 90, 84
    6
        
  • 30x10y8, 39xy3, 60x9
    3x
        
16.   Factor the following polynomials:
  • 3x5 + 15x4 + 12x3
    3x3(x + 4)(x + 1)
        
  • x2 + 6x - 27
    (x - 3)(x + 9)
        
  • x8 + 3x7 - 18x6
    x6(x - 3)(x + 6)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    -9


        
  • x =
    0
    ,
    3

    and
    -6
        
18.   You have 5 CDs. How many different ways can you listen to them?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 26, 2, 5, 22, 40, 25, 11, 4
        
20.   A bag contains 4 blue balls, 4 red balls, and 2 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    20.00%
        
  • A blue ball or red ball?
    80.00%
        
  • Two red balls?
    16.00%
        
  • A blue ball and a white ball?
    8.00%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 3
    x - y = 16
    A(9.5,-6.5)
        
  • 2x - 3y = 13
    13x + 6y = 8

    B(2,-3)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 + 6x + 9)
    (x + 3)
    x + 3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 14x = -33
    x1 = 3,   x2 = 11
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.39
    36
    90
        
25.   Solve the following equation:
  • -13
    x
    - 2 = -16
    x
    + 7
    x = 9
        
26.   Rationalize the denominator of each fraction below:
  • 35
    10
    7
    10
    2
        
27.   Use a trigonometric ratio to find x:
x = 33.49 cm
    
28.   The sum of two consecutive odd integers is 40. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=19, b=21
    
29.   After you leave your house, you walk 12 blocks east and 9 blocks south. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   Each side of a square is lengthened by 6 m. This makes the area of the square 169m2. What is the original length of a side of the square?
  • 7 m
        


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