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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 -3? 27
2.   Add:   14 and -10? 4
3.   Divide:   -5 and 1? -5
4.   Substract:   -15 and -11? -4
5.   Calculate: |9 – 7 – 3 + -2| 3
6.   Simplify the following expressions:
  • 9 – 4x + -3 6-4x
  • -14 + 15x + 13 – -18y -1+15x+18y
  • -13x – 5 + 10y – -4 + -14 – 16y -15-13x-6y
  • x16 × x14 x30
  • x4
    x-19
    x23
  • (6x2)8 1679616x16
7.   Which of the following expressions show the associative property?
  • 1 × ( x + 3 + 9 ) = 1×x + 1×3 + 1×9
  • ( m × n ) × p = m × ( n × p )
  • 0 + -3x = -3x
  • 3 + 4r + 5
B
8.   Which properties are illustrated by the following three expressions?
  • y × ( z + 0 ) = y × z + y × 0
  • 1 × (e + f) = e + f
  • (y + -9) × (x + -6) = (x + -6) × (y + -9)
  • Identity property of addition, Identity property of multiplication and Distributive property
  • Distributive property, Associative property of multiplication and Commutative property of multiplication
  • Distributive property, Identity property of multiplication and Commutative property of multiplication
  • Commutative property of addition, Associative property of addition and Identity property of addition
C
9.   Solve the following equations for x:
  • -1 = 8 + x x = -9
  • 11
    12
    x =
    22
    24
    x = 1
  • -49 = -28 – 21x x = 1
  • d = -bx x = -d/b
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + -27 ≤ -26 x ≥ -1
  • x ≠ -66
  • -5 ≥ x > -1
  • -
    36
    9
    x > -16 x < 4
11.   Convert the following numbers into scientific notation:
  • 0.0000360 3.6 × 10-5
  • 12300 1.23 × 104
12.   Add the following polynomials:
  • -2z10 + 11z9 + -3z5  and  -8z9 + -13z6 + 2z4 + 14z2 + -11z1
    -2z10 + 3z9 + -13z6 + -3z5 + 2z4 + 14z2 + -11z1
  • -13z17 + -6z15 + 15z13 + -1z7 + -10z5  and  -10z17 + -11z15 + 2z13 + -10z7 -23z17 + -17z15 + 17z13 + -11z7 + -10z5
13.   Multiply the following polynomials and simplify:
  • (1x4 + 3x3 - 5)9x
    9x5 + 27x4 - 45x
  • (2x5 + 3x2)(6x5 - 7)
    12x10 + 18x7 - 14x5 - 21x2
14.   Divide:
  • 5x2 + 27x + 10 / 5x + 2
    x + 5
15.   Find the greatest common factor of the following terms:
  • 66, 39, 90
    3
  • 21x3y3, 100x6y7
    x3y3
16.   Factor the following polynomials:
  • 64x4 - 96x3 + 34x2
    64x2(x -
    6 +
    2
    8
    )(x -
    6 -
    2
    8
    )
  • x2 + 0x - 49
    (x - 7)(x + 7)
  • x8 - 16x7 + 15x6
    x6(x - 15)(x - 1)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    7
    and
    -7
  • x =
    0
    ,
    15
    and
    1
18.   You are seating 6 people on 6 chairs. How many different ways can those people sit?
  • 720
19.   Use the following data to construct a box and whiskers plot:
  • 31, 10, 38, 6, 30, 33, 14
20.   Suppose you toss a coin and spin a spinner numbered 1 through 8
  • What is the probability of getting tails and 4?
    6.25%
  • What is the probability of getting tails 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 heads and not 5?
    43.75%
  • 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 = 10
    x - y = 1
    A(5.5,4.5)
  • 5x - 7y = -17
    10x + 5y = -12

    B(-1.78,1.16)
22.   Write the following fractions in simplest form:
  • 76x5y6
    19x7y2
    4y4
    x2
  • (x - 3)7
    (x - 3)6
    x - 3
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 60 = 4x
    x1 = -6,   x2 = 10
24.   Convert the following repeating decimal into a fraction:
  • x = 0.56
    51
    90
25.   Solve the following equation:
  • 14 +
    5x + 9
    = 17
    x = 0
26.   Rationalize the denominator of each fraction below:
  • 3
    9
    1
27.   Use a trigonometric ratio to find x:
x = 18.00 cm
28.   The sum of two consecutive even integers is 22. What are the integers? (Hint: use 2x as the first even integer)
a=10, b=12
29.   After you leave your house, you walk 5 blocks south and 12 blocks east. How far are you from your house?
  • I am
    13
    blocks from my house.
30.   A rectangle has a length 4 ft greater than its width. The area of the rectangle is 140ft2. What are the length and width of the rectangle?
  • width = 10,  length = 14


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