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Algebra test generator



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1.   Multiply:   12 and -4? -48
    
2.   Add:   9 and -11? -2
    
3.   Divide:   -20 and -10? 2
    
4.   Substract:   1 and 9? -8
    
5.   Calculate: |-20 + 12 · -15 + -14| 214
    
6.   Simplify the following expressions:
  • -12 + -3x – -7x -12+4x
        
  • 1 + 13x – -6y – -17 18+13x+6y
        
  • 5y – 10y + -4y – -16 – 10x 16-10x-9y
        
  • y4 × y8 y12
        
  • x-4
    x12
    x-16
        
  • (9x)4 6561x4
        
7.   Which of the following expressions show the associative property?
  • 4 + 7e + 5
  • ( 7 × 1 ) + -3 = -3 + ( 7 × 1 )
  • ( m + n ) + 7 = m + ( n + 7 )
  • 4x + 7 = 7 + 4x
C
    
8.   Which properties are illustrated by the following three expressions?
  • (9 + y) × 5 = 5 × (9 + y)
  • x × ( y + 0 ) = x × y + x × 0
  • (p + 12) × 1 = p + 12
  • Identity property of multiplication, Commutative property of addition and Commutative property of multiplication
  • Associative property of addition, Identity property of multiplication and Associative property of multiplication
  • Distributive property, Identity property of addition and Associative property of addition
  • Commutative property of multiplication, Distributive property and Identity property of multiplication
D
    
9.   Solve the following equations for x:
  • -94 = -x – 48 x = 46
        
  • 24
    13
    = -
    12
    13
    x x = -2
        
  • 51 = 60 + 9x x = -1
        
  • -g = b + ex x = (g+b)/(-e)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 24x + -38 > -14 x > 1
        
  • x ≠ 133
  • 43 < x ≤ 50
  • -
    22
    11
    x < -12 x > 6
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000802 8.02 × 10-10
        
  • 889000000000 8.89 × 1011
        
12.   Add the following polynomials:
  • -2z5 + -7z3  and  10z9 + 6z7 + -8z5 + 7z2 + -2z1
    10z9 + 6z7 + -10z5 + -7z3 + 7z2 + -2z1
        
  • 14z13 + -3z11 + 5z4  and  -15z13 + -4z11 + -6z4 + 11z1 -1z13 + -7z11 + -1z4 + 11z1
        
13.   Multiply the following polynomials and simplify:
  • (5x5 + 7x4 + 3x)(1x5 + 6x4 + 4x3)
    5x10 + 37x9 + 62x8 + 28x7 + 3x6 + 18x5 + 12x4
        
  • (9x3 + 5x2 + 2)(3x4 - 8)
    27x7 + 15x6 + 6x4 - 72x3 - 40x2 - 16
        
14.   Divide:
  • 4x2 - 10x - 6 / 2x + 1
    2x - 6
        
15.   Find the greatest common factor of the following terms:
  • 36, 10
    2
        
  • 54x8y3, 50x10y3, 30x6y7
    2x6y3
        
16.   Factor the following polynomials:
  • x4 - 19x3 + 48x2
    x2(x - 16)(x - 3)
        
  • x2 + 0x - 25
    (x - 5)(x + 5)
        
  • x4 - 3x3 - 108x2
    x2(x + 9)(x - 12)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    -5


        
  • x =
    0
    ,
    -9

    and
    12
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, three, or four scoops. Flavors can be chocolate or vanilla. How many choices do you have?
  • 16
        
19.   Use the following data to construct a box and whiskers plot:
  • 3, 38, 33, 32, 13, 22, 30, 16, 11
        
20.   A bag contains 2 blue balls, 2 red balls, and 6 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    60.00%
        
  • A blue ball or red ball?
    40.00%
        
  • Two red balls?
    2.22%
        
  • A blue ball and a white ball?
    13.33%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 9
    x - y = -16
    A(-3.5,12.5)
        
  • 10x - 10y = -9
    7x + 8y = -7

    B(-0.95,-0.05)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 1)2
    (x - 1)
    x - 1
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -2x = x2 - 35
    x1 = -7,   x2 = 5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.2
    2
    9
        
25.   Solve the following equation:
  • 12 -
    3x + 4
    = -7
    x = 119
        
26.   Rationalize the denominator of each fraction below:
  • 9
    6
    + 3
    -(3
    6
    - 9)
        
27.   Use a trigonometric ratio to find x:
x = 16.50 cm
    
28.   The sum of two consecutive odd integers is 16. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=7, b=9
    
29.   After you leave your house, you walk 16 blocks east and 12 blocks south. How far are you from your house?
  • I am
    20
    blocks from my house.
        
30.   The length of a rectangle is 4 less than 4 times the width. What are the dimensions of the rectangle if the area is 360ft2?
  • width = 10,  length = 36
        


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