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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 3? -30
2.   Add:   -8 and 3? -5
3.   Divide:   4 and 4? 1
4.   Substract:   -5 and 18? -23
5.   Calculate: |-3 + 15 · 4 + 19| 76
6.   Simplify the following expressions:
  • 11x + -15x – -5x 1x
  • 19x – -12x + 11y – 14x 17x+11y
  • -2z + 10z – -6z + 4y + -13 – 6y -13-2y+14z
  • y-19 × x-10 × x-14 x-24 × y-19
  • x6
    x-6
    x12
  • (10x)6 1000000x6
7.   Which of the following expressions show the associative property?
  • ( -7 × 7 ) + -8 = -8 + ( -7 × 7 )
  • ( m + n ) + p = m + ( n + p )
  • -8 × ( y + 2 + 8 ) = -8×y + -8×2 + -8×8
  • ( x × y ) + 5 = 5 + ( y × x )
B
8.   Which properties are illustrated by the following three expressions?
  • f × ( g + h ) = f × g + f × h
  • r × ( s × 1 ) = ( r × s ) × 1
  • (-10 + z) × 12 = 12 × (-10 + z)
  • Associative property of multiplication, Associative property of addition and Identity property of addition
  • Associative property of addition, Commutative property of multiplication and Commutative property of addition
  • Distributive property, Associative property of multiplication and Commutative property of multiplication
  • Commutative property of addition, Distributive property and Identity property of multiplication
C
9.   Solve the following equations for x:
  • -x + 5 = 38 x = -33
  • -
    26
    5
    = -
    1
    5
    x x = 26
  • -125x – 75 = 50 x = -1
  • d = ex x = d/e
10.   Solve the following inequalities. Then graph a) on the number line
  • -40x – -25 ≤ -15 x ≥ 1
  • x ≠ -964
  • -30 ≥ x ≤ -18
  • 12
    6
    x >
    32
    8
    x > 2
11.   Convert the following numbers into scientific notation:
  • 0.000000930 9.3 × 10-7
  • 730000000000 7.3 × 1011
12.   Add the following polynomials:
  • -10z10 + 2z9 + 8z5 + -12z4  and  9z10 + -4z9 + 12z5 + 7
    -1z10 + -2z9 + 20z5 + -12z4 + 7
  • 8z16 + -10z7 + 12z5 + 5z1  and  1z16 + 10z12 + -13z7 + -6z5 + 15z1 9z16 + 10z12 + -23z7 + 6z5 + 20z1
13.   Multiply the following polynomials and simplify:
  • 9x2(10x4 + 7x2)
    90x6 + 63x4
  • (10x2 + 6x)(3x5 + 5x4 + 8x)
    30x7 + 68x6 + 30x5 + 80x3 + 48x2
14.   Divide:
  • 2x3 - 8x2 - 20x + 80 / 2x - 8
    x2 - 10
15.   Find the greatest common factor of the following terms:
  • 80, 75, 90
    5
  • 18x6y10, 100xy, 9x9y2
    xy
16.   Factor the following polynomials:
  • 48x5 + 76x4 + 29x3
    48x3(x -
    -19 +
    13
    24
    )(x -
    -19 -
    13
    24
    )
  • x2 + 2x - 15
    (x - 3)(x + 5)
  • x4 + 7x3 + 10x2
    x2(x + 5)(x + 2)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    -5
  • x =
    0
    ,
    -5
    and
    -2
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, or three scoops. Flavors can be chocolate, vanilla, strawberry or peach. How many choices do you have?
  • 24
19.   Use the following data to construct a box and whiskers plot:
  • 6, 3, 18, 26, 10, 34, 30
20.   A bag contains 7 blue balls, 2 red balls, and 2 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    18.18%
  • A blue ball or red ball?
    81.82%
  • Two red balls?
    1.82%
  • A blue ball and a white ball?
    12.73%
21.   Solve and graph the following systems of linear equations:
  • x + y = -15
    x - y = -2
    A(-8.5,-6.5)
  • 6x - 4y = 20
    6x + 7y = 8

    B(2.61,-1.09)
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
  • (x - 3)6
    (x - 3)
    (x - 3)5
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -56 = x2 + 18x
    x1 = -4,   x2 = -14
24.   Convert the following repeating decimal into a fraction:
  • x = 0.486
    482
    990
25.   Solve the following equation:
  • -10
    x
    + 7 = -9
    x
    - 12
    x = 361
26.   Rationalize the denominator of each fraction below:
  • 15
    35
    + 21
    -
    15
    35
    - 315
    406
27.   Use a trigonometric ratio to find x:
x = 16.17 cm
28.   The sum of two consecutive odd integers is 52. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=25, b=27
29.   After you leave your house, you walk 5 blocks west and 12 blocks north. How far are you from your house?
  • I am
    13
    blocks from my house.
30.   A rectangle has a width that is 8 m less than its length. The area of the rectangle is 240m2. What are the dimensions of the rectangle?
  • width = 12,  length = 20


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