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Algebra test generator





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Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   15 and 3? 45
2.   Add:   12 and -9? 3
3.   Divide:   5 and 1? 5
4.   Substract:   -20 and 12? -32
5.   Calculate: |14 · 20 + -7 · -6| 322
6.   Simplify the following expressions:
  • 19x + -20x + 4x 3x
  • -14 – 20 + -18x – 7y -34-18x-7y
  • -8y + 18z + 4 + 14z + -4 -8y+32z
  • y-12 × y-19 × y1 y-30
  • x-18
    x11
    x-29
  • (7x3)10 282475249x30
7.   Which of the following expressions show the associative property?
  • 8 + 3l + 7
  • 4( 3 + 4 ) = 4×3 + 4×4
  • -9 × ( x + 4 + 3 ) = -9×x + -9×4 + -9×3
  • ( m + n ) + p = m + ( n + p )
D
8.   Which properties are illustrated by the following three expressions?
  • ( 2 + 15 ) + 1 = 2 + ( 15 + 1 )
  • -17 × -19 = -17 × -19
  • (n + 15) × 1 = n + 15
  • Associative property of addition, Commutative property of multiplication and Associative property of multiplication
  • 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 multiplication
  • Distributive property, Associative property of multiplication and Commutative property of multiplication
C
9.   Solve the following equations for x:
  • x · -69 = -69 x = 1
  • -
    13
    16
    x =
    13
    16
    x = -1
  • 27x + 25 = -83 x = -4
  • a = gx – c x = (a+c)/g
10.   Solve the following inequalities. Then graph a) on the number line
  • -13x + 10 < -3 x > 1
  • x ≠ -946
  • -47 > x ≥ 87
  • 12
    2
    x > -18 x > -3
11.   Convert the following numbers into scientific notation:
  • 0.0000000103 1.03 × 10-8
  • 3750000 3.75 × 106
12.   Add the following polynomials:
  • 7z10 + 2z7 + 15z6 + 2z4 + 4z2  and  10z8 + 5z7 + -1z6
    7z10 + 10z8 + 7z7 + 14z6 + 2z4 + 4z2
  • 13z20 + 12z18 + 11z14 + 9z12 + -1z9  and  -2z18 + -11z14 + 12z9 + 15z6 + 13z4 13z20 + 10z18 + 9z12 + 11z9 + 15z6 + 13z4
13.   Multiply the following polynomials and simplify:
  • 7x4(5x4 + 6x2 + 9x)
    35x8 + 42x6 + 63x5
  • (2x4 + 5x2 + 9)(9x2 - 1)
    18x6 + 43x4 + 76x2 - 9
14.   Divide:
  • 12x3 - 40x2 + 27x - 90 / 3x - 10
    4x2 + 9
15.   Find the greatest common factor of the following terms:
  • 60, 65
    5
  • 88y6, 39xy2
    y2
16.   Factor the following polynomials:
  • 17x5 + 21x4 + 4x3
    17x3(x + 1)(x +
    4
    17
    )
  • x2 + 4x - 12
    (x - 2)(x + 6)
  • x5 + 24x4 + 135x3
    x3(x + 15)(x + 9)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    2
    and
    -6
  • x =
    0
    ,
    -15
    and
    -9
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 or peach. How many choices do you have?
  • 16
19.   Use the following data to construct a box and whiskers plot:
  • 34, 37, 26, 35, 40, 24, 30
20.   A bag contains 5 blue balls, 5 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?
    16.67%
  • A blue ball or red ball?
    83.33%
  • Two red balls?
    15.15%
  • A blue ball and a white ball?
    7.58%
21.   Solve and graph the following systems of linear equations:
  • x + y = -2
    x - y = 17
    A(7.5,-9.5)
  • 9x - 5y = 15
    10x + 3y = -12

    B(-0.19,-3.35)
22.   Write the following fractions in simplest form:
  • 19x9y
    38x8y8
    x
    2y7
  • (x + 9)7
    (x + 9)2
    (x + 9)5
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 2x = 15
    x1 = 5,   x2 = -3
24.   Convert the following repeating decimal into a fraction:
  • x = 0.36
    33
    90
25.   Solve the following equation:
  • -3
    x
    - 13 = -5
    x
    + 13
    x = 169
26.   Rationalize the denominator of each fraction below:
  • 21
    10
    + 15
    -
    21
    10
    - 315
    215
27.   Use a trigonometric ratio to find x:
x = 34.64 cm
28.   The sum of two consecutive even integers is 54. What are the integers? (Hint: use 2x as the first even integer)
a=26, b=28
29.   After you leave your house, you walk 3 blocks west and 4 blocks south. How far are you from your house?
  • I am
    5
    blocks from my house.
30.   A rectangle has a length 7 ft greater than its width. The area of the rectangle is 30ft2. What are the length and width of the rectangle?
  • width = 3,  length = 10


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