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Algebra test generator





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Solve the following problems:

Important instructions

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1.   Multiply:   -8 and 10? -80
2.   Add:   -16 and -19? -35
3.   Divide:   14 and -14? -1
4.   Substract:   -6 and 4? -10
5.   Calculate: |-12 + -16 · -13| 196
6.   Simplify the following expressions:
  • 6x – -11x + -2 -2+17x
  • -6y – 17x – 3 – 10 -13-17x-6y
  • 15 + 4z + 3y + 4 + -1y – 20x 19-20x+2y+4z
  • x8 × y-2 x8 × y-2
  • x-7
    x18
    x-25
  • (4x4)8 65536x32
7.   Which of the following expressions show the associative property?
  • ( m × n ) × 7 = m × ( n × 7 )
  • ( x + y ) × 4 = 4 × ( y + x )
  • r × ( s + 5 ) = rs + 5s
  • a + b = b + a
A
8.   Which properties are illustrated by the following three expressions?
  • u × ( v × 1 ) = ( u × v ) × 1
  • -10 × ( 13 + 14) = -10 × 13 + -10 × 14
  • w × (u + v) = (u + v) × w
  • Associative property of multiplication, Distributive property and Associative property of addition
  • Commutative property of multiplication, Distributive property and Identity property of addition
  • Associative property of multiplication, Distributive property and Commutative property of multiplication
  • Associative property of multiplication, Identity property of multiplication and Commutative property of addition
C
9.   Solve the following equations for x:
  • -x + -36 = 9 x = -45
  • 8
    9
    =
    1
    9
    x x = 8
  • 2 – 4x = 42 x = -10
  • -ex = f + c x = (f+c)/(-e)
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + -2 < -13 x > 11
  • x ≠ -81
  • 91 ≤ x ≤ 0
  • 39
    13
    x <
    12
    4
    x < 1
11.   Convert the following numbers into scientific notation:
  • 0.0000000000768 7.68 × 10-11
  • 370000000000 3.7 × 1011
12.   Add the following polynomials:
  • -14z10 + -15z9 + 11z7 + 3z5 + -9  and  13z10 + 13
    -1z10 + -15z9 + 11z7 + 3z5 + 4
  • -3z19 + 1z11 + 14z8 + -15z3  and  -10z18 + 6z11 + -6z3 -3z19 + -10z18 + 7z11 + 14z8 + -21z3
13.   Multiply the following polynomials and simplify:
  • (6x4 + 6x3 + 9x2)-1
    -6x4 - 6x3 - 9x2
  • (6x2 + 3x)(3x5 + 10x)
    18x7 + 9x6 + 60x3 + 30x2
14.   Divide:
  • 6x3 - 4x2 + 3x - 2 / 3x - 2
    2x2 + 1
15.   Find the greatest common factor of the following terms:
  • 48, 30
    6
  • 78x9y4, 30x6y
    6x6y
16.   Factor the following polynomials:
  • 33x3 + 95x2 + 28x
    33x(x +
    1
    3
    )(x +
    28
    11
    )
  • x2 + 8x + 16
    (x + 4)(x + 4)
  • x4 + 15x3 + 56x2
    x2(x + 7)(x + 8)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -4
    and
    -4
  • x =
    0
    ,
    -7
    and
    -8
18.   You can purchase your ice cream in a cup or a cone. Orders can be one or two scoops. Flavors can be chocolate, vanilla, strawberry, peach or kiwi. How many choices do you have?
  • 20
19.   Use the following data to construct a box and whiskers plot:
  • 31, 13, 19, 22, 7, 35, 3, 34
20.   A bag contains 3 blue balls, 6 red balls, and 3 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    25.00%
  • A blue ball or red ball?
    75.00%
  • Two red balls?
    25.00%
  • A blue ball and a white ball?
    6.25%
21.   Solve and graph the following systems of linear equations:
  • x + y = -4
    x - y = -13
    A(-8.5,4.5)
  • 8x - 3y = 19
    7x + 9y = -16

    B(1.32,-2.81)
22.   Write the following fractions in simplest form:
  • 7x8y7
    21xy10
    x7
    3y3
  • (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 - 4x = 5
    x1 = 5,   x2 = -1
24.   Convert the following repeating decimal into a fraction:
  • x = 0.414
    373
    900
25.   Solve the following equation:
  • 12 -
    x - 4
    = 7
    x = 29
26.   Rationalize the denominator of each fraction below:
  • 49
    10 +
    3
    490 - 49
    3
    97
27.   Use a trigonometric ratio to find x:
x = 25.11 cm
28.   The sum of two consecutive even integers is 50. What are the integers? (Hint: use 2x as the first even integer)
a=24, b=26
29.   After you leave your house, you walk 16 blocks north and 12 blocks west. How far are you from your house?
  • I am
    20
    blocks from my house.
30.   A rectangle has a length 8 m greater than its width. The area of the rectangle is 48m2. What are the length and width of the rectangle?
  • width = 4,  length = 12


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