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Algebra test generator





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Solve the following problems:

Important instructions

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1.   Multiply:   18 and -15? -270
2.   Add:   -8 and 5? -3
3.   Divide:   -9 and 9? -1
4.   Substract:   -7 and -9? 2
5.   Calculate: |-2 · -16 + -4| 28
6.   Simplify the following expressions:
  • 12x + -18x – -8x 2x
  • 8x + 7x – 19 + 8 -11+15x
  • -16x + 15 + -7y + 1x + 17x + -12 3+2x-7y
  • x-16 × y13 × x17 x1 × y13
  • x1
    x7
    x-6
  • (3x3)8 6561x24
7.   Which of the following expressions show the associative property?
  • -8x + -7 = -7 + -8x
  • ( m + n ) + 3 = m + ( n + 3 )
  • a + b = b + a
  • a × ( b + 8 ) = ab + 8b
B
8.   Which properties are illustrated by the following three expressions?
  • (i + j) × k = k × (i + j)
  • ( i × j ) × h = i × ( j × h )
  • 13 × 1 + 15 = 15 + 13 × 1
  • Associative property of multiplication, Associative property of addition and Commutative property of addition
  • Commutative property of addition, Commutative property of multiplication and Associative property of addition
  • Commutative property of multiplication, Associative property of multiplication and Commutative property of addition
  • Identity property of multiplication, Associative property of addition and Commutative property of addition
C
9.   Solve the following equations for x:
  • -21 · x = -63 x = 3
  • -
    1
    4
    x = -
    7
    4
    x = 7
  • 7x – -83 = 48 x = -5
  • -c = dx x = -c/d
10.   Solve the following inequalities. Then graph a) on the number line
  • -10x + 28 > 8 x < 2
  • x ≠ -563
  • -69 < x > 60
  • -
    20
    10
    x <
    26
    13
    x > -1
11.   Convert the following numbers into scientific notation:
  • 0.000000000620 6.2 × 10-10
  • 34600000 3.46 × 107
12.   Add the following polynomials:
  • -6z8 + -4z6 + 14z2  and  1z10 + 12z9 + -3z8 + -2z6 + 14z2
    1z10 + 12z9 + -9z8 + -6z6 + 28z2
  • 9z13 + -9z8 + 9z7 + -6z6 + 11z3  and  -7z13 + -8z8 + 2z7 + 12z6 + 4z3 2z13 + -17z8 + 11z7 + 6z6 + 15z3
13.   Multiply the following polynomials and simplify:
  • (9x3 + x)(2x3 + 4)
    18x6 + 2x4 + 36x3 + 4x
  • (7x5 + 7x4 + 2x)(3x5 + 2x3 + 5x)
    21x10 + 21x9 + 14x8 + 14x7 + 41x6 + 35x5 + 4x4 + 10x2
14.   Divide:
  • 8x3 + 10x2 + 36x + 74 / 4x + 5
    (2x2 + 9) with a remainder of 29
15.   Find the greatest common factor of the following terms:
  • 52, 26, 78
    26
  • 36x5y2, 48x10y, 14x6y
    2x5y
16.   Factor the following polynomials:
  • 49x4 - 77x3 + 29x2
    49x2(x -
    11 +
    5
    14
    )(x -
    11 -
    5
    14
    )
  • x2 - 13x + 42
    (x - 7)(x - 6)
  • x5 + 13x4 - 30x3
    x3(x + 15)(x - 2)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    7
    and
    6
  • x =
    0
    ,
    -15
    and
    2
18.   You can purchase your ice cream in a cup or a cone. Orders can be one or two scoops. Flavors can be chocolate, vanilla, strawberry, peach or kiwi. How many choices do you have?
  • 20
19.   Use the following data to construct a box and whiskers plot:
  • 8, 9, 36, 27, 13, 33, 29, 23, 4, 39
20.   A bag contains 2 blue balls, 3 red balls, and 7 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    58.33%
  • A blue ball or red ball?
    41.67%
  • Two red balls?
    6.25%
  • A blue ball and a white ball?
    9.72%
21.   Solve and graph the following systems of linear equations:
  • x + y = 20
    x - y = -3
    A(8.5,11.5)
  • x - 8y = 17
    7x + 7y = -7

    B(1,-2)
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
  • (x - 1)
    (x2 - 2x + 1)
    1
    x - 1
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -15x = x2 + 14
    x1 = -14,   x2 = -1
24.   Convert the following repeating decimal into a fraction:
  • x = 0.3279
    3276
    9990
25.   Solve the following equation:
  • 8
    x
    + 19 = 9
    x
    - 3
    x = 484
26.   Rationalize the denominator of each fraction below:
  • 2
    5
    35
    14
    70
    245
27.   Use a trigonometric ratio to find x:
x = 17.32 cm
28.   The sum of two consecutive odd integers is 48. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=23, b=25
29.   After you leave your house, you walk 16 blocks north and 12 blocks east. How far are you from your house?
  • I am
    20
    blocks from my house.
30.   The length of a rectangle is 3 more than thrice its width. The area of the rectangle is 270ft2. What is the length and width of the rectangle?
  • width = 9,  length = 30


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