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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:   18 and -17? -306
2.   Add:   -16 and 1? -15
3.   Divide:   -7 and 7? -1
4.   Substract:   -9 and 13? -22
5.   Calculate: |9 + -4 · 3 + 19| 16
6.   Simplify the following expressions:
  • -11 + 10x – 13 -24+10x
  • -16 + -3x + 20x + -14x -16+3x
  • 12 + -13x + -18y + -11z – -8y 12-13x-10y-11z
  • x-7 × y-1 × x5 x-2 × y-1
  • x-16
    x14
    x-30
  • (3x3)8 6561x24
7.   Which of the following expressions show the associative property?
  • l × ( m + 4 ) = lm + 4m
  • 0 + -6x = -6x
  • 5 × 1 = 5
  • ( m × n ) × 9 = m × ( n × 9 )
D
8.   Which properties are illustrated by the following three expressions?
  • y + z + 0 = y + z
  • (u + 9) × 1 = u + 9
  • ( v + w ) + u = v + ( w + u )
  • Distributive property, Identity property of multiplication and Commutative property of multiplication
  • Commutative property of multiplication, Associative property of addition and Associative property of multiplication
  • Identity property of addition, Identity property of multiplication and Associative property of addition
  • Associative property of addition, Commutative property of multiplication and Commutative property of addition
C
9.   Solve the following equations for x:
  • -45 = -x – 70 x = -25
  • -
    2
    4
    =
    1
    2
    x x = -1
  • 50 = -13x + 37 x = -1
  • -d = -ax + bx x = d/(a-b)
10.   Solve the following inequalities. Then graph a) on the number line
  • -37x + -12 > 25 x < -1
  • x ≠ -303
  • -61 < x > -46
  • 8
    4
    x ≥ -
    10
    5
    x ≥ -1
11.   Convert the following numbers into scientific notation:
  • 0.000349 3.49 × 10-4
  • 16300 1.63 × 104
12.   Add the following polynomials:
  • -11z10 + -12z6 + 5z3  and  9z6 + 15z5 + -3z3
    -11z10 + -3z6 + 15z5 + 2z3
  • -5z20 + 5z13 + 8z6 + -14z2  and  7z13 + -13z6 + 6z2 -5z20 + 12z13 + -5z6 + -8z2
13.   Multiply the following polynomials and simplify:
  • (1x4 + 9x3 + x)(5x2 - 10)
    5x6 + 45x5 - 10x4 - 85x3 - 10x
  • (9x5 + 10x2 - 5)(4x4 + 9x3)
    36x9 + 81x8 + 40x6 + 90x5 - 20x4 - 45x3
14.   Divide:
  • 3x3 + 10x2 + 12x + 45 / 3x + 10
    (x2 + 4) with a remainder of 5
15.   Find the greatest common factor of the following terms:
  • 66, 54, 27
    3
  • 36x4y, 56y10
    4y
16.   Factor the following polynomials:
  • 42x3 - 55x2 + 17x
    42x(x -
    1
    2
    )(x -
    17
    21
    )
  • x2 - 5x - 36
    (x + 4)(x - 9)
  • x7 + 0x6 - 4x5
    x5(x - 2)(x + 2)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -4
    and
    9
  • x =
    0
    ,
    2
    and
    -2
18.   You have 2 pants, 5 shirts, and 3 shoes. How many different ways can you dress?
  • 30
19.   Use the following data to construct a box and whiskers plot:
  • 19, 32, 14, 21, 7, 8, 26, 11
20.   Suppose you toss a coin and spin a spinner numbered 1 through 8
  • What is the probability of getting tails and 7?
    6.25%
  • What is the probability of getting tails and an even number?
    25%
  • What is the probability of getting heads and a multiple of 2?
    25%
  • What is the probability of getting heads and a prime number?
    25%
  • What is the probability of not tails and not 8?
    43.75%
  • 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 = 8
    x - y = 17
    A(12.5,-4.5)
  • 4x - 5y = 9
    9x + 10y = -20

    B(-0.12,-1.89)
22.   Write the following fractions in simplest form:
  • 23x8y
    69x8y7
    1
    3y6
  • (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.
  • -20x + 99 = -x2
    x1 = 9,   x2 = 11
24.   Convert the following repeating decimal into a fraction:
  • x = 0.28
    26
    90
25.   Solve the following equation:
  • -18
    x
    + 12 = -17
    x
    - 2
    x = 196
26.   Rationalize the denominator of each fraction below:
  • 6
    15 +
    14
    90 - 6
    14
    211
27.   Use a trigonometric ratio to find x:
x = 24.25 cm
28.   The sum of two consecutive even integers is 30. What are the integers? (Hint: use 2x as the first even integer)
a=14, b=16
29.   After you leave your house, you walk 9 blocks east and 12 blocks north. How far are you from your house?
  • I am
    15
    blocks from my house.
30.   The sides of a square are increased by 6 m. The area of the newly created square is 121m2. What was the original length of one side of the square?
  • 5 m


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