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Algebra test generator





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Solve the following problems:

Important instructions

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1.   Multiply:   -9 and 20? -180
2.   Add:   3 and 11? 14
3.   Divide:   -2 and 1? -2
4.   Substract:   5 and -16? 21
5.   Calculate: |-3 + -14 · -1 + -1| 10
6.   Simplify the following expressions:
  • 15 – -11x – -5x 15+16x
  • -7y – -11y – 15 – 3 -18+4y
  • 13y + -14 + -13x – 9x – -8 -6-22x+13y
  • y5 × x4 x4 × y5
  • x-7
    x-9
    x2
  • (10x2)3 1000x6
7.   Which of the following expressions show the associative property?
  • 8 × ( z + 9 + 4 ) = 8×z + 8×9 + 8×4
  • ( m × n ) × 5 = m × ( n × 5 )
  • -3 + -2 = -2 + -3
  • ( m + n ) × 4 = 4 × ( m + n )
B
8.   Which properties are illustrated by the following three expressions?
  • 1 × 38 = 38
  • 12 + 10z = 10z + 12
  • 61 + 0 = 61
  • Commutative property of multiplication, Identity property of addition and Commutative property of addition
  • Distributive property, Associative property of addition and Identity property of addition
  • Identity property of multiplication, Commutative property of addition and Identity property of addition
  • Commutative property of multiplication, Associative property of addition and Identity property of addition
C
9.   Solve the following equations for x:
  • 3 · -x = 15 x = -5
  • -
    1
    10
    x =
    27
    30
    x = -9
  • -66 = -24 – -7x x = -6
  • fx = -e x = -e/f
10.   Solve the following inequalities. Then graph a) on the number line
  • 7x + 11 ≥ 18 x ≥ 1
  • x ≠ -662
  • 50 < x > 88
  • -
    24
    12
    x < -
    24
    6
    x > 2
11.   Convert the following numbers into scientific notation:
  • 0.00000381 3.81 × 10-6
  • 2090000 2.09 × 106
12.   Add the following polynomials:
  • 10z10 + 14z9 + 13z5 + 10z2 + -4z1  and  12z10 + 13z5 + 11z2 + -15
    22z10 + 14z9 + 26z5 + 21z2 + -4z1 + -15
  • 5z17 + 4z15 + -2z13 + 2z1  and  6z17 + -6z15 + -1z10 + 8z9 + 3z1 11z17 + -2z15 + -2z13 + -1z10 + 8z9 + 5z1
13.   Multiply the following polynomials and simplify:
  • (6x3 + x2 - 9)(9x4 + 2)
    54x7 + 9x6 - 81x4 + 12x3 + 2x2 - 18
  • (10x5 + 10x4 - 5)(10x4 + 6)
    100x9 + 100x8 + 60x5 + 10x4 - 30
14.   Divide:
  • 5x2 + 32x + 13 / 5x + 2
    (x + 6) with a remainder of 1
15.   Find the greatest common factor of the following terms:
  • 66, 90, 72
    6
  • 18x8, 40x10y2, 81x10
    x8
16.   Factor the following polynomials:
  • 20x5 - 80x4 + 35x3
    20x3(x -
    1
    2
    )(x -
    7
    2
    )
  • x2 - 4x - 60
    (x - 10)(x + 6)
  • x8 + 7x7 + 10x6
    x6(x + 5)(x + 2)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    10
    and
    -6
  • x =
    0
    ,
    -5
    and
    -2
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, peach or kiwi. How many choices do you have?
  • 30
19.   Use the following data to construct a box and whiskers plot:
  • 11, 19, 27, 15, 17, 37, 12, 24, 34
20.   A bag contains 2 blue balls, 7 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?
    35.71%
  • A blue ball or red ball?
    64.29%
  • Two red balls?
    25.00%
  • A blue ball and a white ball?
    5.10%
21.   Solve and graph the following systems of linear equations:
  • x + y = -19
    x - y = 4
    A(-7.5,-11.5)
  • 5x - 3y = 16
    2x + 10y = -16

    B(2,-2)
22.   Write the following fractions in simplest form:
  • 17x3y2
    34x5y5
    1
    2x2y3
  • x2(x + 5)
    x6 + 14x5 + 45x4
    1
    x2(x + 9)
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -18 = x2 + 11x
    x1 = -9,   x2 = -2
24.   Convert the following repeating decimal into a fraction:
  • x = 0.13
    12
    90
25.   Solve the following equation:
  • -
    7
    x
    = -7
    x = 1
26.   Rationalize the denominator of each fraction below:
  • 2
    3 -
    35
    -
    3 +
    35
    13
27.   Use a trigonometric ratio to find x:
x = 18.50 cm
28.   The sum of two consecutive odd integers is 56. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=27, b=29
29.   After you leave your house, you walk 8 blocks north and 6 blocks east. How far are you from your house?
  • I am
    10
    blocks from my house.
30.   A rectangle has a width that is 6 ft less than its length. The area of the rectangle is 315ft2. What are the dimensions of the rectangle?
  • width = 15,  length = 21


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