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Algebra test generator





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Solve the following problems:

Important instructions

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1.   Multiply:   -15 and 13? -195
2.   Add:   8 and -6? 2
3.   Divide:   6 and -1? -6
4.   Substract:   12 and 4? 8
5.   Calculate: |-3 + 1 · 3| 0
6.   Simplify the following expressions:
  • -7x + 1x + -8x -14x
  • 18x + 19 – -8x – -7x 19+33x
  • 10y – 14 + -2y + 4 + -4z -10+8y-4z
  • y6 × x-17 × x19 × y-18 x2 × y-12
  • x-1
    x-12
    x11
  • (3x3)3 27x9
7.   Which of the following expressions show the associative property?
  • 0 + -10x = -10x
  • 3( 2 + 5 ) = 3×2 + 3×5
  • -7 × 1 = -7
  • ( m × n ) × p = m × ( n × p )
D
8.   Which properties are illustrated by the following three expressions?
  • p + q + 0 = p + q
  • ( -9 + -13 ) × z = -9 × z + -13 × z
  • -1 × ( -6 × -2 ) = ( -1 × -6 ) × -2
  • Associative property of addition, Associative property of multiplication and Distributive property
  • Identity property of addition, Distributive property and Associative property of multiplication
  • Commutative property of multiplication, Associative property of addition and Identity property of addition
  • Identity property of addition, Identity property of multiplication and Distributive property
B
9.   Solve the following equations for x:
  • -6 · x = 30 x = -5
  • -
    6
    27
    =
    6
    27
    x x = -1
  • 18x + -59 = -95 x = -2
  • -bx – e = dx x = (-e)/(b+d)
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – -2 < 20 x > -18
  • x ≠ 167
  • -89 < x > -31
  • 6
    3
    x < 32 x < 16
11.   Convert the following numbers into scientific notation:
  • 0.0000978 9.78 × 10-5
  • 936000 9.36 × 105
12.   Add the following polynomials:
  • 12z8 + -7z3  and  11z8 + 11z3
    23z8 + 4z3
  • 1z17 + -9z10 + -15z7  and  2z17 + 2z10 + -14z3 3z17 + -7z10 + -15z7 + -14z3
13.   Multiply the following polynomials and simplify:
  • 5x2(10x4 + 10x)
    50x6 + 50x3
  • (9x5 + x3 + 7x2)(10x4 + 5x - 5)
    90x9 + 10x7 + 115x6 - 45x5 + 5x4 + 30x3 - 35x2
14.   Divide:
  • 5x2 + 30x + 25 / x + 5
    5x + 5
15.   Find the greatest common factor of the following terms:
  • 99, 78, 45
    3
  • 60x3y10, 63x8y6
    3x3y6
16.   Factor the following polynomials:
  • 12x4 - 92x3 + 80x2
    12x2(x - 1)(x -
    20
    3
    )
  • x2 - 5x + 6
    (x - 2)(x - 3)
  • x5 - 2x4 - 35x3
    x3(x - 7)(x + 5)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    2
    and
    3
  • x =
    0
    ,
    7
    and
    -5
18.   You have 8 books to read. How many different ways can you read your books?
  • 40320
19.   Use the following data to construct a box and whiskers plot:
  • 9, 24, 18, 11, 19, 5, 31, 26
20.   Suppose you toss a coin and spin a spinner numbered 1 through 4
  • What is the probability of getting heads and 1?
    12.50%
  • 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?
    25%
  • What is the probability of not tails and not 3?
    37.5%
  • What is the probability of getting not tails 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 tails?
    50%
21.   Solve and graph the following systems of linear equations:
  • x + y = 7
    x - y = 6
    A(6.5,0.5)
  • 6x - 7y = -1
    10x + 7y = 7

    B(0.38,0.46)
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
  • x3 - 2x2 + 1x
    x6(x - 1)
    (x - 1)
    x5
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -6 = x2 - 7x
    x1 = 6,   x2 = 1
24.   Convert the following repeating decimal into a fraction:
  • x = 7.68
    761
    99
25.   Solve the following equation:
  • 4x + 8
    + 3 = 3
    x = -2
26.   Rationalize the denominator of each fraction below:
  • 15
    25
    3
    28
    25
    7
    14
27.   Use a trigonometric ratio to find x:
x = 20.00 cm
28.   The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
29.   After you leave your house, you walk 6 blocks north and 8 blocks east. How far are you from your house?
  • I am
    10
    blocks from my house.
30.   The length of a rectangle is 8 more than twice its width. The area of the rectangle is 154m2. What is the length and width of the rectangle?
  • width = 7,  length = 22


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