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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   19 and -20? -380
    
2.   Add:   7 and -18? -11
    
3.   Divide:   13 and 13? 1
    
4.   Substract:   19 and -9? 28
    
5.   Calculate: |11 – 4 – -1 – 11| 3
    
6.   Simplify the following expressions:
  • 9x + 17 – -11x 17+20x
        
  • -20x + -13 – 16x – 13y -13-36x-13y
        
  • 5x + 20y + 17 – -12y + -19x – -19x 17+5x+32y
        
  • x5 × y7 x5 × y7
        
  • x-2
    x-11
    x9
        
  • (9x)8 43046721x8
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) + 9 = 9 + ( m × n )
  • e × ( f + 8 ) = ef + 8f
  • ( m × n ) × 5 = m × ( n × 5 )
  • 8 + 10e + 2
C
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + m + n = m + n
  • (j + k) × 1 = 1 × (j + k)
  • ( 16 × -9 ) × 14 = 16 × ( -9 × 14 )
  • Identity property of addition, Commutative property of multiplication and Associative property of multiplication
  • Commutative property of multiplication, Identity property of multiplication and Commutative property of addition
  • Identity property of multiplication, Associative property of multiplication and Commutative property of multiplication
  • Identity property of multiplication, Commutative property of addition and Identity property of addition
A
    
9.   Solve the following equations for x:
  • 5 · x = 25 x = 5
        
  • -
    9
    16
    = -
    9
    16
    x x = 1
        
  • 65 + -3x = -4 x = 23
        
  • -f = b + ex x = (f+b)/(-e)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + -22 < -20 x > -2
        
  • x ≠ -733
  • -52 ≤ x ≥ 72
  • 28
    14
    x >
    24
    6
    x > 2
        
11.   Convert the following numbers into scientific notation:
  • 0.000126 1.26 × 10-4
        
  • 66100000000 6.61 × 1010
        
12.   Add the following polynomials:
  • -3z10 + -8z8 + 2z8 + 1z4 + -15z1  and  -10z10 + -7z9 + -4z8 + 8z1
    -13z10 + -7z9 + -10z8 + 1z4 + -7z1
        
  • 10z18 + 11z11 + 11z7 + -11z6 + 9z3  and  1z20 + -10z14 + -9z6 + -14z3 1z20 + 10z18 + -10z14 + 11z11 + 11z7 + -20z6 + -5z3
        
13.   Multiply the following polynomials and simplify:
  • 4x(4x4 + 3x)
    16x5 + 12x2
        
  • (4x5 - 1)(1x5 + 5x - 7)
    4x10 + 20x6 - 29x5 - 5x + 7
        
14.   Divide:
  • 6x2 + 5x - 56 / 2x + 7
    3x - 8
        
15.   Find the greatest common factor of the following terms:
  • 39, 78, 98
    1
        
  • 72x8y3, 66x6y2, 90x8y10
    6x6y2
        
16.   Factor the following polynomials:
  • 8x5 - 48x4 + 64x3
    8x3(x - 4)(x - 2)
        
  • x2 - 3x - 40
    (x + 5)(x - 8)
        
  • x5 - 4x4 - 117x3
    x3(x + 9)(x - 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -5
    and
    8


        
  • x =
    0
    ,
    -9

    and
    13
        
18.   You are seating 5 people on 5 chairs. How many different ways can those people sit?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 29, 18, 25, 34, 2, 8, 32, 11, 22, 19
        
20.   A bag contains 6 blue balls, 5 red balls, and 2 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    15.38%
        
  • A blue ball or red ball?
    84.62%
        
  • Two red balls?
    12.82%
        
  • A blue ball and a white ball?
    7.69%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -4
    x - y = 9
    A(2.5,-6.5)
        
  • 7x - 9y = 4
    7x + 5y = -18

    B(-1.45,-1.57)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 6)
    (x + 6)2
    1
    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 + 22x = -21
    x1 = -21,   x2 = -1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.8
    8
    9
        
25.   Solve the following equation:
  • 5x + 9
    - 18 = -6
    x = 27
        
26.   Rationalize the denominator of each fraction below:
  • 21
    15
    - 10
    -
    21
    15
    + 210
    85
        
27.   Use a trigonometric ratio to find x:
x = 23.33 cm
    
28.   The sum of two consecutive even integers is 18. What are the integers? (Hint: use 2x as the first even integer)
a=8, b=10
    
29.   After you leave your house, you walk 12 blocks east and 16 blocks north. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   A rectangle has a width that is 7 ft less than its length. The area of the rectangle is 60ft2. What are the dimensions of the rectangle?
  • width = 5,  length = 12
        


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