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Algebra test generator





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Solve the following problems:

Important instructions

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1.   Multiply:   15 and 13? 195
2.   Add:   -17 and -3? -20
3.   Divide:   6 and -3? -2
4.   Substract:   14 and 14? 0
5.   Calculate: |13 · -20 + 12 · -15| 440
6.   Simplify the following expressions:
  • 8x + -11x – -7 7-3x
  • -5 – -15 + -19x – -9y 10-19x+9y
  • 14y + -16y + 16x – -19z – 13z 16x-2y+6z
  • y-17 × x13 × x13 x26 × y-17
  • x20
    x-16
    x36
  • (3x2)3 27x6
7.   Which of the following expressions show the associative property?
  • ( x × y ) + 7 = 7 + ( y × x )
  • a + b = b + a
  • ( 8 + -7 ) × 2 = 2 × ( 8 + -7 )
  • ( m × n ) × p = m × ( n × p )
D
8.   Which properties are illustrated by the following three expressions?
  • 0 + j + k = j + k
  • 13 × 12 = 13 × 12
  • z + -4 × -8 = -4 × -8 + z
  • Identity property of multiplication, Associative property of multiplication and Associative property of addition
  • Associative property of addition, Commutative property of addition and Commutative property of multiplication
  • Identity property of addition, Commutative property of multiplication and Commutative property of addition
  • Associative property of multiplication, Identity property of addition and Associative property of addition
C
9.   Solve the following equations for x:
  • 45 = -45 · x x = -1
  • 21
    11
    =
    1
    11
    x x = 21
  • 95 – 109x = -14 x = 1
  • ex + a = cx x = (-a)/(e-c)
10.   Solve the following inequalities. Then graph a) on the number line
  • 3x – -23 ≤ 26 x ≤ 1
  • x ≠ 680
  • -74 ≥ x ≤ 0
  • 40
    20
    x ≤ 38 x ≤ 19
11.   Convert the following numbers into scientific notation:
  • 0.0000000115 1.15 × 10-8
  • 50700000 5.07 × 107
12.   Add the following polynomials:
  • -4z5 + 12z4 + 10  and  4z5 + 8z4 + 13
    20z4 + 23
  • -2z19 + 7z18 + 8z15  and  -9z19 + 15z15 + 14z15 -11z19 + 7z18 + 37z15
13.   Multiply the following polynomials and simplify:
  • (1x5 + 2x4 + 2x)(4x2 + 5x)
    4x7 + 13x6 + 10x5 + 8x3 + 10x2
  • (1x5 + 8)(5x5 + 4x4 + 4x3)
    5x10 + 4x9 + 4x8 + 40x5 + 32x4 + 32x3
14.   Divide:
  • 3x2 + 12x + 9 / x + 3
    3x + 3
15.   Find the greatest common factor of the following terms:
  • 66, 65, 39
    1
  • 63y8, 27x4y8, 33x7
    3
16.   Factor the following polynomials:
  • 8x3 + 22x2 - 30x
    8x(x - 1)(x +
    15
    4
    )
  • x2 - 10x + 21
    (x - 3)(x - 7)
  • x6 - 14x5 + 13x4
    x4(x - 13)(x - 1)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    7
  • x =
    0
    ,
    13
    and
    1
18.   You have 6 books to read. How many different ways can you read your books?
  • 720
19.   Use the following data to construct a box and whiskers plot:
  • 21, 5, 39, 40, 28, 34, 1, 8, 17
20.   A bag contains 2 blue balls, 7 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?
    38.18%
  • A blue ball and a white ball?
    3.64%
21.   Solve and graph the following systems of linear equations:
  • x + y = 9
    x - y = 2
    A(5.5,3.5)
  • 6x - 11y = 12
    8x + 11y = 16

    B(2,0)
22.   Write the following fractions in simplest form:
  • 42x3y5
    21x4y
    2y4
    x
  • (x2 + 6x + 9)
    (x + 3)
    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.
  • 31x = x2 - 66
    x1 = -2,   x2 = 33
24.   Convert the following repeating decimal into a fraction:
  • x = 2.466
    2220
    900
25.   Solve the following equation:
  • -3
    x
    - 9 = -10
    x
    + 12
    x = 9
26.   Rationalize the denominator of each fraction below:
  • 2
    10
    3
    10
    2
    3
27.   Use a trigonometric ratio to find x:
x = 10.39 cm
28.   The sum of two consecutive odd integers is 60. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=29, b=31
29.   After you leave your house, you walk 6 blocks west and 8 blocks south. How far are you from your house?
  • I am
    10
    blocks from my house.
30.   Each side of a square is decreased by 8 ft. The area of the newly created square is 25ft2. What was the original length of one side of the square?
  • 3 ft


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