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Algebra test generator





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(current difficulty level: Easy)

       


Solve the following problems:

Important instructions

(or click here to generate a new test)
1.   Multiply:   -10 and 7? -70
2.   Add:   8 and 9? 17
3.   Divide:   -3 and 1? -3
4.   Substract:   7 and -1? 8
5.   Calculate: |8 + 8 · -14| 104
6.   Simplify the following expressions:
  • 10x – 3x + 7x 14x
  • 15x + 7x + -5x + -2 -2+17x
  • -19x – 3 + -14 – -18z – -17 – 2z -19x+16z
  • x-5 × y19 x-5 × y19
  • x1
    x-10
    x11
  • (9x5)9 387420489x45
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • ( m + n ) + p = m + ( n + p )
  • 5 + -8 = -8 + 5
  • ( 6 × -6 ) + -1 = -1 + ( 6 × -6 )
B
8.   Which properties are illustrated by the following three expressions?
  • -11 × ( -12 × -16 ) = ( -11 × -12 ) × -16
  • m + n + 8 = 8 + m + n
  • -14 + ( 11 + 18 ) = ( -14 + 11 ) + 18
  • Identity property of multiplication, Associative property of multiplication and Associative property of addition
  • Commutative property of multiplication, Identity property of addition and Commutative property of addition
  • Commutative property of multiplication, Associative property of multiplication and Commutative property of addition
  • Associative property of multiplication, Commutative property of addition and Associative property of addition
D
9.   Solve the following equations for x:
  • x + 47 = 71 x = 24
  • -
    1
    7
    = -
    1
    7
    x x = 1
  • -51 = -22 – 29x x = 1
  • a = bx x = a/b
10.   Solve the following inequalities. Then graph a) on the number line
  • -13x + 27 ≤ 40 x ≥ -1
  • x ≠ 592
  • 76 > x ≥ -13
  • 36
    18
    x ≥ 22 x ≥ 11
11.   Convert the following numbers into scientific notation:
  • 0.0000000790 7.9 × 10-8
  • 507000000 5.07 × 108
12.   Add the following polynomials:
  • 9z10 + -4z3  and  -3z10 + -6z5 + -4z4 + -12z3 + -9z2
    6z10 + -6z5 + -4z4 + -16z3 + -9z2
  • 13z11 + 2z10 + -12z7  and  4z18 + 15z12 + 13z10 + -1z9 + -4z7 4z18 + 15z12 + 13z11 + 15z10 + -1z9 + -16z7
13.   Multiply the following polynomials and simplify:
  • (3x3 + 10x + 3)(3x3 + x2 + 3)
    9x6 + 3x5 + 30x4 + 28x3 + 3x2 + 30x + 9
  • (4x + 9)(5x5 + 9x3 + 10x)
    20x6 + 45x5 + 36x4 + 81x3 + 40x2 + 90x
14.   Divide:
  • 5x2 - 5x + 11 / x + 1
    (5x - 10) with a remainder of 21
15.   Find the greatest common factor of the following terms:
  • 10, 39, 78
    1
  • 33x3y8, 66x7, 90x7y7
    3x3
16.   Factor the following polynomials:
  • 8x5 + 46x4 + 64x3
    8x3(x -
    -23 +
    17
    8
    )(x -
    -23 -
    17
    8
    )
  • x2 + 7x - 8
    (x + 8)(x - 1)
  • x4 + 8x3 - 20x2
    x2(x - 2)(x + 10)
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -8
    and
    1
  • x =
    0
    ,
    2
    and
    -10
18.   How many ways can 7 people wait in line?
  • 5040
19.   Use the following data to construct a box and whiskers plot:
  • 14, 2, 17, 27, 31, 8, 1, 18
20.   A bag contains 7 blue balls, 7 red balls, and 2 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    12.50%
  • A blue ball or red ball?
    87.50%
  • Two red balls?
    19.14%
  • A blue ball and a white ball?
    5.47%
21.   Solve and graph the following systems of linear equations:
  • x + y = -3
    x - y = 9
    A(3,-6)
  • 5x - 2y = -10
    9x + 2y = 11

    B(0.07,5.18)
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
  • (x2 - 14x + 49)
    (x - 7)
    x - 7
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 14x = -40
    x1 = 4,   x2 = 10
24.   Convert the following repeating decimal into a fraction:
  • x = 0.173
    173
    999
25.   Solve the following equation:
  • 27
    x
    = 3
    x = 3
26.   Rationalize the denominator of each fraction below:
  • 15
    3 +
    3
    15 - 5
    3
    2
27.   Use a trigonometric ratio to find x:
x = 31.11 cm
28.   The sum of two consecutive even integers is 50. What are the integers? (Hint: use 2x as the first even integer)
a=24, b=26
29.   After you leave your house, you walk 8 blocks south and 15 blocks east. How far are you from your house?
  • I am
    17
    blocks from my house.
30.   The length of a rectangle is 2 more than twice its width. The area of the rectangle is 364ft2. What is the length and width of the rectangle?
  • width = 13,  length = 28


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