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Algebra test generator





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Solve the following problems:

Important instructions

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1.   Multiply:   -13 and -6? 78
2.   Add:   -12 and 20? 8
3.   Divide:   16 and 8? 2
4.   Substract:   9 and -14? 23
5.   Calculate: |-6 · 15 + 3 · 9| 63
6.   Simplify the following expressions:
  • -12x + 13x – 12x -11x
  • 17y + -1y + -7y – 6x -6x+9y
  • 16 – -4z – 5z – 20x + 9y 16-20x+9y-1z
  • y-15 × y-11 × y-11 y-37
  • x-17
    x-2
    x-15
  • (3x4)8 6561x32
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • 4 × ( x + 8 + 3 ) = 4×x + 4×8 + 4×3
  • ( 4 + 7 ) + 3 = 4 + ( 7 + 3 )
  • -4 × -6 = -6 × -4
C
8.   Which properties are illustrated by the following three expressions?
  • a × ( b + c ) = a × b + a × c
  • ( 15 × -18 ) × 11 = 15 × ( -18 × 11 )
  • 3 + 0 = 3
  • Distributive property, Associative property of multiplication and Identity property of addition
  • Associative property of multiplication, Distributive property and Commutative property of multiplication
  • Commutative property of multiplication, Identity property of addition and Associative property of multiplication
  • Associative property of addition, Commutative property of multiplication and Associative property of multiplication
A
9.   Solve the following equations for x:
  • -x · -38 = -38 x = -1
  • -
    18
    13
    =
    9
    13
    x x = -2
  • -70x – 29 = 41 x = -1
  • cx = -a x = -a/c
10.   Solve the following inequalities. Then graph a) on the number line
  • -37x – -31 < -6 x > 1
  • x ≠ 981
  • 34 < x ≤ -92
  • 26
    13
    x >
    40
    5
    x > 4
11.   Convert the following numbers into scientific notation:
  • 0.0000000000468 4.68 × 10-11
  • 23800000000 2.38 × 1010
12.   Add the following polynomials:
  • -6z10 + -2z8 + -8z3 + 6z2 + 5  and  2z8 + 3z4
    -6z10 + 3z4 + -8z3 + 6z2 + 5
  • -1z17 + 9z16 + -11z11 + 4z7 + -8z5  and  13z17 + 2z16 + -4z11 + -8z7 + 9z5 12z17 + 11z16 + -15z11 + -4z7 + 1z5
13.   Multiply the following polynomials and simplify:
  • (5x5 + 2x2 - 6)2
    10x5 + 4x2 - 12
  • (2x5 + 9x3 + 10x)(5x - 6)
    10x6 - 12x5 + 45x4 - 54x3 + 50x2 - 60x
14.   Divide:
  • 8x3 + 28x2 - 16x - 54 / 2x + 7
    (4x2 - 8) with a remainder of 2
15.   Find the greatest common factor of the following terms:
  • 100, 78, 88
    2
  • 22x7y9, 90x5y5
    2x5y5
16.   Factor the following polynomials:
  • 66x4 - 32x3 - 8x2
    66x2(x -
    2
    3
    )(x +
    2
    11
    )
  • x2 + 5x - 14
    (x + 7)(x - 2)
  • x4 - 19x3 + 60x2
    x2(x - 15)(x - 4)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -7
    and
    2
  • x =
    0
    ,
    15
    and
    4
18.   You have 2 pants, 4 shirts, and 2 shoes. How many different ways can you dress?
  • 16
19.   Use the following data to construct a box and whiskers plot:
  • 27, 19, 3, 12, 21, 20, 17
20.   Suppose you toss a coin and spin a spinner numbered 1 through 6
  • What is the probability of getting heads and 2?
    8.33%
  • What is the probability of getting heads and an even number?
    25%
  • What is the probability of getting heads and a multiple of 2?
    25%
  • What is the probability of getting heads and a prime number?
    25%
  • What is the probability of not tails and not 5?
    41.67%
  • 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 = 8
    x - y = 13
    A(10.5,-2.5)
  • 7x - 3y = -10
    5x + 13y = 8

    B(-1,1)
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
  • x5 - 4x4 - 45x3
    x5(x - 9)
    (x + 5)
    x2
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 44 = 20x
    x1 = -2,   x2 = 22
24.   Convert the following repeating decimal into a fraction:
  • x = 3.81
    378
    99
25.   Solve the following equation:
  • -8 +
    5x - 5
    = -8
    x = 1
26.   Rationalize the denominator of each fraction below:
  • 6
    2
    - 15
    -
    6
    2
    + 90
    223
27.   Use a trigonometric ratio to find x:
x = 14.43 cm
28.   The sum of two consecutive even integers is 18. What are the integers? (Hint: use 2x as the first even integer)
a=8, b=10
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.   Each side of a square is lengthened by 5 m. This makes the area of the square 400m2. What is the original length of a side of the square?
  • 15 m


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