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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 18? -162
2.   Add:   1 and 5? 6
3.   Divide:   10 and -1? -10
4.   Substract:   14 and -19? 33
5.   Calculate: |-20 · -18 + -5 · 17| 275
6.   Simplify the following expressions:
  • 20x + 18 – 11x 18+9x
  • -18y – -3 – 11x + -7 -4-11x-18y
  • 9x + -13z + 20y + -14y – 5z 9x+6y-18z
  • y3 × x-3 x-3 × y3
  • x9
    x-12
    x21
  • (10x)6 1000000x6
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • -5 × ( z + 8 + 1 ) = -5×z + -5×8 + -5×1
  • -8x + -5 = -5 + -8x
  • ( x × y ) × z = x × ( y × z )
D
8.   Which properties are illustrated by the following three expressions?
  • ( o + p ) + n = o + ( p + n )
  • (b + c) × 1 = b + c
  • 0 + d + 18 = d + 18
  • Identity property of addition, Commutative property of multiplication and Identity property of multiplication
  • Distributive property, Associative property of multiplication and Commutative property of addition
  • Associative property of addition, Commutative property of multiplication and Identity property of addition
  • Associative property of addition, Identity property of multiplication and Identity property of addition
D
9.   Solve the following equations for x:
  • 27 · -x = 27 x = -1
  • 21
    12
    =
    1
    4
    x x = 7
  • 29 = -40x – 11 x = -1
  • c = -bx x = -c/b
10.   Solve the following inequalities. Then graph a) on the number line
  • 18x + -16 ≥ 2 x ≥ 1
  • x ≠ 918
  • -59 ≥ x < 69
  • 8
    4
    x >
    40
    10
    x > 2
11.   Convert the following numbers into scientific notation:
  • 0.00000000616 6.16 × 10-9
  • 5510000 5.51 × 106
12.   Add the following polynomials:
  • 5z6 + 15z1  and  -9z10 + 8z7 + -4z6 + 7z3 + -8z1
    -9z10 + 8z7 + 1z6 + 7z3 + 7z1
  • 15z15 + 11z3 + -7z2 + 6  and  6z3 + -14z1 + 5 15z15 + 17z3 + -7z2 + -14z1 + 11
13.   Multiply the following polynomials and simplify:
  • (5x5 + 10x)(2x4 + 7x + 4)
    10x9 + 35x6 + 40x5 + 70x2 + 40x
  • (8x4 + 5x2 + 5x)(6x3 + x2)
    48x7 + 8x6 + 30x5 + 35x4 + 5x3
14.   Divide:
  • 15x2 - 34x - 16 / 3x - 8
    5x + 2
15.   Find the greatest common factor of the following terms:
  • 32, 54
    2
  • 70x7y3, 10x2y4
    10x2y3
16.   Factor the following polynomials:
  • 66x5 + 50x4 - 24x3
    66x3(x +
    12
    11
    )(x -
    1
    3
    )
  • x2 - 3x - 4
    (x - 4)(x + 1)
  • x7 + 2x6 - 24x5
    x5(x + 6)(x - 4)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    4
    and
    -1
  • x =
    0
    ,
    -6
    and
    4
18.   You have 7 CDs. How many different ways can you listen to them?
  • 5040
19.   Use the following data to construct a box and whiskers plot:
  • 27, 21, 16, 2, 6, 9, 28
20.   Suppose you toss a coin and spin a spinner numbered 1 through 12
  • What is the probability of getting tails and 11?
    4.17%
  • What is the probability of getting heads and an odd number?
    25%
  • What is the probability of getting heads and a multiple of 2?
    25%
  • What is the probability of getting tails and a prime number?
    20.83%
  • What is the probability of not tails and not 10?
    45.83%
  • What is the probability of getting not heads and not a whole number?
    0%
  • What is the probability of heads or tails and a whole number?
    100%
  • What is the probability of getting heads?
    50%
21.   Solve and graph the following systems of linear equations:
  • x + y = -15
    x - y = 10
    A(-2.5,-12.5)
  • 4x - 9y = -17
    12x + 9y = -15

    B(-2,1)
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
  • (x + 4)3
    (x + 4)5
    1
    (x + 4)2
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 17x = -30
    x1 = 2,   x2 = 15
24.   Convert the following repeating decimal into a fraction:
  • x = 0.779
    779
    999
25.   Solve the following equation:
  • 20 -
    3x - 8
    = 12
    x = 24
26.   Rationalize the denominator of each fraction below:
  • 6
    6
    7 +
    6
    42
    6
    - 36
    43
27.   Use a trigonometric ratio to find x:
x = 12.12 cm
28.   The sum of two consecutive odd integers is 40. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=19, b=21
29.   After you leave your house, you walk 3 blocks north and 4 blocks east. How far are you from your house?
  • I am
    5
    blocks from my house.
30.   The length of a rectangle is 5 less than 5 times the width. What are the dimensions of the rectangle if the area is 30m2?
  • width = 3,  length = 10


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