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Algebra test generator





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Solve the following problems:

Important instructions

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1.   Multiply:   -10 and -18? 180
2.   Add:   -16 and 15? -1
3.   Divide:   -11 and -11? 1
4.   Substract:   15 and 17? -2
5.   Calculate: |-19 + 9 · -15| 154
6.   Simplify the following expressions:
  • -3 + 1x + 6x -3+7x
  • 17y – 2x – 12y – 12x -14x+5y
  • -12x – -4y + 3y – -5 – 17x 5-29x+7y
  • y5 × x-2 × y-12 x-2 × y-7
  • x9
    x4
    x5
  • (5x3)6 15625x18
7.   Which of the following expressions show the associative property?
  • 8x + -2 = -2 + 8x
  • ( m × n ) × 2 = m × ( n × 2 )
  • 5 × 1 = 5
  • ( x × y ) + 7 = 7 + ( y × x )
B
8.   Which properties are illustrated by the following three expressions?
  • ( j + 0 ) + i = j + ( 0 + i )
  • t + u + 18 = 18 + t + u
  • 1 × -74 = -74
  • Identity property of addition, Associative property of multiplication and Associative property of addition
  • Associative property of addition, Commutative property of addition and Identity property of multiplication
  • Identity property of addition, Distributive property and Commutative property of addition
  • Associative property of multiplication, Associative property of addition and Distributive property
B
9.   Solve the following equations for x:
  • 68 – -x = -44 x = -112
  • 7
    3
    x = -
    28
    6
    x = -2
  • -53 + 42x = -11 x = 1
  • -gx = a – e x = (-a+e)/g
10.   Solve the following inequalities. Then graph a) on the number line
  • x – 39 < -16 x < 23
  • x ≠ 852
  • -95 ≤ x > -84
  • 36
    18
    x ≤ 32 x ≤ 16
11.   Convert the following numbers into scientific notation:
  • 0.0000000114 1.14 × 10-8
  • 7320000000 7.32 × 109
12.   Add the following polynomials:
  • 6z9 + 7z8 + 6z7 + -11z4 + -15z2  and  -9z9 + -12z2
    -3z9 + 7z8 + 6z7 + -11z4 + -27z2
  • 8z19 + 13z18 + -4z11 + 6z6 + 6z5  and  -2z19 + 3z18 + 2z11 + 6z6 6z19 + 16z18 + -2z11 + 12z6 + 6z5
13.   Multiply the following polynomials and simplify:
  • (6x5 + 5x2 + 7x)1x4
    6x9 + 5x6 + 7x5
  • (1x5 + 8x3)(10x + 4)
    10x6 + 4x5 + 80x4 + 32x3
14.   Divide:
  • 16x3 + 8x2 - 12x - 6 / 4x + 2
    4x2 - 3
15.   Find the greatest common factor of the following terms:
  • 60, 32, 100
    4
  • 64xy4, 44xy3, 26xy8
    2xy3
16.   Factor the following polynomials:
  • 54x4 - 33x3 - 10x2
    54x2(x +
    2
    9
    )(x -
    5
    6
    )
  • x2 + 18x + 81
    (x + 9)(x + 9)
  • x4 - 10x3 - 11x2
    x2(x - 11)(x + 1)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -9
    and
    -9
  • x =
    0
    ,
    11
    and
    -1
18.   How many ways can 8 people wait in line?
  • 40320
19.   Use the following data to construct a box and whiskers plot:
  • 21, 1, 3, 9, 31, 25, 7, 32
20.   Suppose you toss a coin and spin a spinner numbered 1 through 10
  • What is the probability of getting heads and 3?
    5.00%
  • What is the probability of getting tails and an odd number?
    25%
  • What is the probability of getting tails and a multiple of 2?
    25%
  • What is the probability of getting tails and a prime number?
    20%
  • What is the probability of not tails and not 7?
    45%
  • 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 = -3
    x - y = 10
    A(3.5,-6.5)
  • 3x - 10y = -20
    x + 8y = -18

    B(-10,-1)
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
  • x6 + 20x5 + 100x4
    x3(x + 10)
    x(x + 10)
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 18x + 56 = -x2
    x1 = -14,   x2 = -4
24.   Convert the following repeating decimal into a fraction:
  • x = 0.438
    395
    900
25.   Solve the following equation:
  • -5
    x
    - 14 = -6
    x
    + 4
    x = 324
26.   Rationalize the denominator of each fraction below:
  • 3
    3
    6 +
    6
    6
    3
    - 3
    2
    10
27.   Use a trigonometric ratio to find x:
x = 16.26 cm
28.   The sum of two consecutive even integers is 46. What are the integers? (Hint: use 2x as the first even integer)
a=22, b=24
29.   After you leave your house, you walk 8 blocks south and 6 blocks west. How far are you from your house?
  • I am
    10
    blocks from my house.
30.   A rectangle has an area of 224m2. Its width is 2 m less than its length. What are the dimensions of the rectangle?
  • width = 14,  length = 16


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