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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   12 and 9? 108
    
2.   Add:   -14 and -16? -30
    
3.   Divide:   -11 and -1? 11
    
4.   Substract:   10 and -4? 14
    
5.   Calculate: |2 · 11 + -11| 11
    
6.   Simplify the following expressions:
  • -9 – -1x + -1x -9
        
  • -3y – 9 – 16y – -12y -9-7y
        
  • -19x – 2 + -4x – -17x – -19 + 13 30-6x
        
  • x12 × y6 x12 × y6
        
  • x-1
    x9
    x-10
        
  • (9x3)6 531441x18
        
7.   Which of the following expressions show the associative property?
  • -1 + 1 = 1 + -1
  • 7( 8 + 4 ) = 7×8 + 7×4
  • ( 4 × 5 ) × 6 = 4 × ( 5 × 6 )
  • 7 × ( x + 9 + 4 ) = 7×x + 7×9 + 7×4
C
    
8.   Which properties are illustrated by the following three expressions?
  • ( f + 0 ) + e = f + ( 0 + e )
  • 9 × 3 + x = x + 9 × 3
  • 1 × 77 = 77
  • Identity property of multiplication, Associative property of multiplication and Commutative property of addition
  • Associative property of addition, Commutative property of addition and Identity property of multiplication
  • Associative property of addition, Associative property of multiplication and Distributive property
  • Commutative property of addition, Identity property of multiplication and Commutative property of multiplication
B
    
9.   Solve the following equations for x:
  • -x · 28 = 28 x = -1
        
  • -
    4
    27
    = -
    1
    27
    x x = 4
        
  • 8 = 97 + 89x x = -1
        
  • -e + b = ax x = (-e+b)/a
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -35x + -38 ≤ -3 x ≥ -1
        
  • x ≠ -381
  • 38 ≥ x ≥ -54
  • -
    27
    9
    x > -
    18
    6
    x < 1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000615 6.15 × 10-5
        
  • 233000000000 2.33 × 1011
        
12.   Add the following polynomials:
  • -12z9 + -4z4 + 12z1 + 14  and  2z10 + 6z9 + -4z1 + -1
    2z10 + -6z9 + -4z4 + 8z1 + 13
        
  • -1z13 + 2z6 + -6z3 + -3z2 + -12  and  12z13 + 3z3 + -8z2 + -4 11z13 + 2z6 + -3z3 + -11z2 + -16
        
13.   Multiply the following polynomials and simplify:
  • (7x5 - 5)2
    14x5 - 10
        
  • (7x5 + x)(10x5 - 4)
    70x10 + 10x6 - 28x5 - 4x
        
14.   Divide:
  • 10x3 + 20x2 + 4x + 8 / 2x + 4
    5x2 + 2
        
15.   Find the greatest common factor of the following terms:
  • 72, 60, 33
    3
        
  • 75x3y8, 39x3
    3x3
        
16.   Factor the following polynomials:
  • 24x3 - 21x2 - 54x
    24x(x +
    9
    8
    )(x - 2)
        
  • x2 - 2x - 48
    (x + 6)(x - 8)
        
  • x7 + x6 - 12x5
    x5(x - 3)(x + 4)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    8


        
  • x =
    0
    ,
    3

    and
    -4
        
18.   You are seating 3 people on 3 chairs. How many different ways can those people sit?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 15, 12, 14, 21, 39, 38, 11, 16, 37, 34
        
20.   A bag contains 2 blue balls, 6 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?
    36.00%
        
  • A blue ball and a white ball?
    4.00%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 2
    x - y = 19
    A(10.5,-8.5)
        
  • 4x - 8y = -20
    4x + 4y = -6

    B(-2.67,1.17)
        
22.   Write the following fractions in simplest form:
  • 6x6y9
    3x8y6
    2y3
    x2
        
  • x5 + 8x4 + 15x3
    x6(x + 5)
    (x + 3)
    x3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 22 = -9x
    x1 = -11,   x2 = 2
        
24.   Convert the following repeating decimal into a fraction:
  • x = 6.310
    6304
    999
        
25.   Solve the following equation:
  • 28
    x
    = 2
    x = 7
        
26.   Rationalize the denominator of each fraction below:
  • 21
    10
    21
    10
    10
        
27.   Use a trigonometric ratio to find x:
x = 34.64 cm
    
28.   The sum of two consecutive even integers is 58. What are the integers? (Hint: use 2x as the first even integer)
a=28, b=30
    
29.   After you leave your house, you walk 12 blocks east and 16 blocks south. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   The length of a rectangle is 2 less than 2 times the width. What are the dimensions of the rectangle if the area is 264m2?
  • width = 12,  length = 22
        


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