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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 -4? 40
2.   Add:   -14 and -4? -18
3.   Divide:   3 and -3? -1
4.   Substract:   7 and -14? 21
5.   Calculate: |-11 + 5 · -1 + 14| 2
6.   Simplify the following expressions:
  • 19 – -10x – 3x 19+7x
  • 16x – -1y + 20y + -17x -1x+21y
  • -20x – -8z + 9z + 7y + 2y – 19z -20x+9y-2z
  • y-1 × x16 x16 × y-1
  • x1
    x20
    x-19
  • (4x)3 64x3
7.   Which of the following expressions show the associative property?
  • 0 + 3x = 3x
  • ( x + y ) + z = x + ( y + z )
  • ( m × n ) + 5 = 5 + ( m × n )
  • a + b = b + a
B
8.   Which properties are illustrated by the following three expressions?
  • 1 × -26 = -26
  • y × ( z + 0 ) = y × z + y × 0
  • k + l + m + 0 = k + l + m
  • Commutative property of multiplication, Associative property of multiplication and Identity property of addition
  • Associative property of multiplication, Commutative property of addition and Commutative property of multiplication
  • Associative property of addition, Commutative property of multiplication and Identity property of addition
  • Identity property of multiplication, Distributive property and Identity property of addition
D
9.   Solve the following equations for x:
  • x · 2 = 84 x = 42
  • 4
    7
    =
    1
    7
    x x = 4
  • 3x – 43 = 32 x = 25
  • c = fx x = c/f
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + -25 > -4 x < -21
  • x ≠ -295
  • 21 > x < 52
  • -
    30
    2
    x > 30 x < -2
11.   Convert the following numbers into scientific notation:
  • 0.00000000823 8.23 × 10-9
  • 19600000000 1.96 × 1010
12.   Add the following polynomials:
  • -9z10 + -13z7 + 7z6 + 10z5  and  10z10 + 13z8 + 12z6 + 10
    1z10 + 13z8 + -13z7 + 19z6 + 10z5 + 10
  • -2z15 + -10z9 + -5z7 + -6z1 + 13  and  12z20 + 7z15 + 14z7 + 7z1 + -1 12z20 + 5z15 + -10z9 + 9z7 + 1z1 + 12
13.   Multiply the following polynomials and simplify:
  • (5x4 + 9x3)3x3
    15x7 + 27x6
  • (10x3 + 6x2)(9x2 + 4x)
    90x5 + 94x4 + 24x3
14.   Divide:
  • 5x2 - 43x + 24 / 5x - 3
    x - 8
15.   Find the greatest common factor of the following terms:
  • 30, 22, 27
    1
  • 75x5y5, 90x9y4
    15x5y4
16.   Factor the following polynomials:
  • 29x5 - 87x4 + 58x3
    29x3(x - 1)(x - 2)
  • x2 - 14x + 48
    (x - 6)(x - 8)
  • x9 - 6x8 - 40x7
    x7(x + 4)(x - 10)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    6
    and
    8
  • x =
    0
    ,
    -4
    and
    10
18.   You can purchase your ice cream in a cup or a cone. Orders can be one, two, three, or four scoops. Flavors can be chocolate, vanilla or strawberry. How many choices do you have?
  • 24
19.   Use the following data to construct a box and whiskers plot:
  • 32, 24, 25, 14, 38, 3, 18
20.   A bag contains 4 blue balls, 7 red balls, and 6 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    35.29%
  • A blue ball or red ball?
    64.71%
  • Two red balls?
    16.96%
  • A blue ball and a white ball?
    8.30%
21.   Solve and graph the following systems of linear equations:
  • x + y = -18
    x - y = -1
    A(-9.5,-8.5)
  • 7x - 10y = -13
    9x + 6y = -2

    B(-0.74,0.78)
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
  • (x - 4)
    (x2 - 8x + 16)
    1
    x - 4
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -x2 = -16x + 28
    x1 = 2,   x2 = 14
24.   Convert the following repeating decimal into a fraction:
  • x = 0.3
    3
    9
25.   Solve the following equation:
  • x + 9
    - 3 = 16
    x = 352
26.   Rationalize the denominator of each fraction below:
  • 15
    6
    + 7
    -
    15
    6
    - 105
    43
27.   Use a trigonometric ratio to find x:
x = 24.25 cm
28.   The sum of two consecutive odd integers is 16. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=7, b=9
29.   After you leave your house, you walk 16 blocks north and 12 blocks west. How far are you from your house?
  • I am
    20
    blocks from my house.
30.   A rectangle has an area of 264m2. Its width is 10 m less than its length. What are the dimensions of the rectangle?
  • width = 12,  length = 22


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