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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 -9? 162
2.   Add:   19 and 15? 34
3.   Divide:   18 and -18? -1
4.   Substract:   13 and -13? 26
5.   Calculate: |-12 + -6 · -14| 72
6.   Simplify the following expressions:
  • -5x – 8 + -14 -22-5x
  • 1y – 8x + 18 – -17x 18+9x+1y
  • -20y – 6x – -5y + 13z + 14z -6x-15y+27z
  • x-15 × x5 x-10
  • x-6
    x-6
    x0
  • (10x4)6 1000000x24
7.   Which of the following expressions show the associative property?
  • ( x × y ) × z = x × ( y × z )
  • ( m + n ) × 4 = 4 × ( m + n )
  • 5 × -7 = -7 × 5
  • a + b = b + a
A
8.   Which properties are illustrated by the following three expressions?
  • x × ( y + 1 ) = x × y + x × 1
  • 9x + 3 = 3 + 9x
  • -11 + ( 19 + -9 ) = ( -11 + 19 ) + -9
  • Commutative property of addition, Identity property of multiplication and Distributive property
  • Distributive property, Commutative property of addition and Associative property of addition
  • Commutative property of addition, Identity property of addition and Distributive property
  • Associative property of addition, Commutative property of addition and Associative property of multiplication
B
9.   Solve the following equations for x:
  • 85 + -x = 77 x = 8
  • 1
    5
    x = -
    5
    25
    x = -1
  • -32 = -7x + -4 x = 4
  • ax = -b x = -b/a
10.   Solve the following inequalities. Then graph a) on the number line
  • -3x – -26 > 35 x < -3
  • x ≠ 226
  • -45 ≥ x > 73
  • 40
    8
    x < -
    40
    4
    x < -2
11.   Convert the following numbers into scientific notation:
  • 0.00000840 8.4 × 10-6
  • 34700000000 3.47 × 1010
12.   Add the following polynomials:
  • 1z10 + 2z5 + 13z4 + 5z3 + -6  and  4z5 + -7z4 + 8z3
    1z10 + 6z5 + 6z4 + 13z3 + -6
  • -7z10 + 5z7 + 14z2  and  5z7 + 9z2 + -7z1 -7z10 + 10z7 + 23z2 + -7z1
13.   Multiply the following polynomials and simplify:
  • (5x5 + 10x4 + 2x3)(9x2 + 5x + 3)
    45x7 + 115x6 + 83x5 + 40x4 + 6x3
  • (8x5 + 7x2)(1x4 + 5x3 + x)
    8x9 + 40x8 + 15x6 + 35x5 + 7x3
14.   Divide:
  • x3 + 8x2 - x - 8 / x + 8
    x2 - 1
15.   Find the greatest common factor of the following terms:
  • 63, 30
    3
  • 78x5y9, 63x10y8
    3x5y8
16.   Factor the following polynomials:
  • 45x4 + 0x3 - 45x2
    45x2(x - 1)(x + 1)
  • x2 + 15x + 50
    (x + 10)(x + 5)
  • x4 - 7x3 + 6x2
    x2(x - 1)(x - 6)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -10
    and
    -5
  • x =
    0
    ,
    1
    and
    6
18.   You have 3 books to read. How many different ways can you read your books?
  • 6
19.   Use the following data to construct a box and whiskers plot:
  • 28, 7, 33, 24, 10, 23, 29, 17, 19, 6
20.   Suppose you toss a coin and spin a spinner numbered 1 through 4
  • What is the probability of getting tails and 1?
    12.50%
  • What is the probability of getting tails and an odd number?
    25%
  • What is the probability of getting heads and a multiple of 2?
    25%
  • What is the probability of getting tails and a prime number?
    25%
  • What is the probability of not tails and not 4?
    37.5%
  • What is the probability of getting not heads and not a whole number?
    0%
  • What is the probability of heads or tails and a whole number?
    100%
  • What is the probability of getting heads?
    50%
21.   Solve and graph the following systems of linear equations:
  • x + y = 17
    x - y = -6
    A(5.5,11.5)
  • 4x - 7y = 17
    3x + 9y = 4

    B(3.18,-0.61)
22.   Write the following fractions in simplest form:
  • 15x6y10
    60x2y2
    x4y8
    4
  • x6(x - 4)
    x3 - 13x2 + 36x
    x5
    (x - 9)
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -x2 = 41x + 78
    x1 = -39,   x2 = -2
24.   Convert the following repeating decimal into a fraction:
  • x = 0.582
    577
    990
25.   Solve the following equation:
  • 7
    x
    = 9
    x =
    49
    81
26.   Rationalize the denominator of each fraction below:
  • 21
    15
    2
    8
    21
    30
    8
27.   Use a trigonometric ratio to find x:
x = 38.18 cm
28.   The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=15, b=17
29.   After you leave your house, you walk 6 blocks east and 8 blocks north. How far are you from your house?
  • I am
    10
    blocks from my house.
30.   Each side of a square is decreased by 3 m. The area of the newly created square is 225m2. What was the original length of one side of the square?
  • 18 m


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