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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:   -10 and 11? -110
2.   Add:   -1 and 20? 19
3.   Divide:   -3 and 3? -1
4.   Substract:   18 and -13? 31
5.   Calculate: |-6 · 13 + -14 · -20| 202
6.   Simplify the following expressions:
  • 16x – 19x – 2x -5x
  • -18 – -17y + -14y + 9y -18+12y
  • 5y – 17x – 1z – 16z + -16z -17x+5y-33z
  • y12 × x14 x14 × y12
  • x-7
    x17
    x-24
  • (5x4)6 15625x24
7.   Which of the following expressions show the associative property?
  • ( 4 + 5 ) + 2 = 4 + ( 5 + 2 )
  • ( m × n ) + 7 = 7 + ( m × n )
  • -9 × 1 = -9
  • ( x × y ) + 5 = 5 + ( y × x )
A
8.   Which properties are illustrated by the following three expressions?
  • -9 × ( -18 × -5 ) = ( -9 × -18 ) × -5
  • (e + f) × g = g × (e + f)
  • ( z + 1 ) × y = z × y + 1 × y
  • Distributive property, Associative property of multiplication and Commutative property of addition
  • Identity property of addition, Identity property of multiplication and Distributive property
  • Associative property of multiplication, Commutative property of multiplication and Distributive property
  • Identity property of multiplication, Associative property of addition and Commutative property of addition
C
9.   Solve the following equations for x:
  • -53 · -x = 53 x = 1
  • -
    4
    23
    =
    2
    23
    x x = -2
  • -94x – -17 = -77 x = 1
  • -c = -e – gx x = (c-e)/g
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 33 ≤ -3 x ≥ -30
  • x ≠ 769
  • 33 ≤ x ≥ -84
  • 40
    10
    x ≤ -40 x ≤ -10
11.   Convert the following numbers into scientific notation:
  • 0.000000000471 4.71 × 10-10
  • 713000000000 7.13 × 1011
12.   Add the following polynomials:
  • -3z10 + -2  and  -4z10 + -3z8 + 9z7
    -7z10 + -3z8 + 9z7 + -2
  • 13z17 + -8z16 + -9z14 + 9z6  and  15z17 + -11z16 + 15z1 28z17 + -19z16 + -9z14 + 9z6 + 15z1
13.   Multiply the following polynomials and simplify:
  • 9x3(2x2 + 9x)
    18x5 + 81x4
  • (3x3 - 4)(8x5 + 9x3 - 2)
    24x8 + 27x6 - 32x5 - 42x3 + 8
14.   Divide:
  • 3x2 - 25x + 28 / 3x - 4
    x - 7
15.   Find the greatest common factor of the following terms:
  • 18, 72
    18
  • 42x2y6, 55x5y3, 30x5y6
    x2y3
16.   Factor the following polynomials:
  • x5 - 15x4 + 52x3
    x3(x -
    15 +
    17
    2
    )(x -
    15 -
    17
    2
    )
  • x2 + x - 2
    (x + 2)(x - 1)
  • x8 + 0x7 - 9x6
    x6(x - 3)(x + 3)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    1
  • x =
    0
    ,
    3
    and
    -3
18.   You have 5 books to read. How many different ways can you read your books?
  • 120
19.   Use the following data to construct a box and whiskers plot:
  • 32, 23, 11, 30, 18, 8, 21
20.   Suppose you toss a coin and spin a spinner numbered 1 through 12
  • What is the probability of getting heads and 2?
    4.17%
  • What is the probability of getting heads and an odd number?
    25%
  • What is the probability of getting tails and a multiple of 2?
    25%
  • What is the probability of getting tails and a prime number?
    20.83%
  • What is the probability of not heads and not 10?
    45.83%
  • What is the probability of getting not tails 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 = 3
    x - y = 12
    A(7.5,-4.5)
  • 5x - 9y = -20
    5x + 4y = 7

    B(-0.26,2.08)
22.   Write the following fractions in simplest form:
  • 10x2y9
    20x6y
    y8
    2x4
  • x4(x - 1)
    x5 + 4x4 - 5x3
    x
    (x + 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 - 40 = 6x
    x1 = -4,   x2 = 10
24.   Convert the following repeating decimal into a fraction:
  • x = 0.1493
    1479
    9900
25.   Solve the following equation:
  • -16 +
    x + 3
    = 4
    x = 397
26.   Rationalize the denominator of each fraction below:
  • 14
    15
    14
    15
    15
27.   Use a trigonometric ratio to find x:
x = 24.04 cm
28.   The sum of two consecutive odd integers is 56. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=27, b=29
29.   After you leave your house, you walk 6 blocks south and 8 blocks west. How far are you from your house?
  • I am
    10
    blocks from my house.
30.   A rectangle has a length 6 ft greater than its width. The area of the rectangle is 135ft2. What are the length and width of the rectangle?
  • width = 9,  length = 15


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