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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   10 and -17? -170
    
2.   Add:   -14 and 8? -6
    
3.   Divide:   20 and -10? -2
    
4.   Substract:   -1 and -10? 9
    
5.   Calculate: |-19 + 14 · -4| 75
    
6.   Simplify the following expressions:
  • 7 – 17 – 7x -10-7x
        
  • -2x – 6x – 17x + -9x -34x
        
  • -18z + 18y + 3z – -5y + 2x + 6x 8x+23y-15z
        
  • x-19 × x5 × x16 x2
        
  • x19
    x14
    x5
        
  • (6x5)9 10077696x45
        
7.   Which of the following expressions show the associative property?
  • 3 × 1 = 3
  • -3 × ( z + 7 + 6 ) = -3×z + -3×7 + -3×6
  • 0 + 4x = 4x
  • ( 3 + 6 ) + 7 = 3 + ( 6 + 7 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • ( y + 0 ) × x = y × x + 0 × x
  • 58 + 0 = 58
  • 8x + 6 = 6 + 8x
  • Associative property of multiplication, Commutative property of multiplication and Identity property of multiplication
  • Associative property of multiplication, Associative property of addition and Commutative property of addition
  • Associative property of addition, Identity property of multiplication and Commutative property of addition
  • Distributive property, Identity property of addition and Commutative property of addition
D
    
9.   Solve the following equations for x:
  • x – -40 = -94 x = -134
        
  • -
    1
    21
    x =
    2
    21
    x = -2
        
  • -24 = 59x – 83 x = 1
        
  • gx = a x = a/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -2x – -36 > -2 x < 19
        
  • x ≠ 80
  • 98 ≤ x ≤ 62
  • 8
    4
    x ≥ -
    10
    5
    x ≥ -1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000935 9.35 × 10-11
        
  • 7730000000 7.73 × 109
        
12.   Add the following polynomials:
  • 6z8 + -7z3 + -8  and  -10z9 + 6z8 + 1z3 + -3
    -10z9 + 12z8 + -6z3 + -11
        
  • -13z16 + 12z12 + 13z6 + -3z4  and  -4z16 + 8z6 + -9z4 -17z16 + 12z12 + 21z6 + -12z4
        
13.   Multiply the following polynomials and simplify:
  • (1x5 + 8x2 + 4x)(2x3 + 10x2 + 7x)
    2x8 + 10x7 + 7x6 + 16x5 + 88x4 + 96x3 + 28x2
        
  • (2x2 - 1)(8x2 + 4x)
    16x4 + 8x3 - 8x2 - 4x
        
14.   Divide:
  • 15x2 - 6x - 2 / 5x - 7
    (3x + 3) with a remainder of 19
        
15.   Find the greatest common factor of the following terms:
  • 50, 36
    2
        
  • 72x9y4, 54xy10, 66y10
    6y4
        
16.   Factor the following polynomials:
  • 30x5 + 90x4 + 66x3
    30x3(x -
    -15 +
    5
    10
    )(x -
    -15 -
    5
    10
    )
        
  • x2 + 0x - 9
    (x + 3)(x - 3)
        
  • x9 + 11x8 + 18x7
    x7(x + 2)(x + 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -3
    and
    3


        
  • x =
    0
    ,
    -2

    and
    -9
        
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, or three scoops. Flavors can be chocolate, vanilla, strawberry or peach. How many choices do you have?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 12, 17, 5, 13, 16, 18, 28, 33, 11, 9
        
20.   A bag contains 6 blue balls, 2 red balls, and 5 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    38.46%
        
  • A blue ball or red ball?
    61.54%
        
  • Two red balls?
    2.37%
        
  • A blue ball and a white ball?
    17.75%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -9
    x - y = -18
    A(-13.5,4.5)
        
  • 6x - y = 20
    x + 9y = -7

    B(3.15,-1.13)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 10)
    (x2 - 20x + 100)
    1
    x - 10
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 40x = x2 + 39
    x1 = 1,   x2 = 39
        
24.   Convert the following repeating decimal into a fraction:
  • x = 6.7
    61
    9
        
25.   Solve the following equation:
  • 2
    x
    = 10
    x =
    4
    100
        
26.   Rationalize the denominator of each fraction below:
  • 4
    2
    + 15
    -
    4
    2
    - 60
    223
        
27.   Use a trigonometric ratio to find x:
x = 30.31 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 5 blocks north and 12 blocks west. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   A rectangle has a width that is 8 m less than its length. The area of the rectangle is 9m2. What are the dimensions of the rectangle?
  • width = 1,  length = 9
        


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