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Algebra test generator



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(current difficulty level: Easy)

                           

Solve the following problems:

Important instructions

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1.   Multiply:   13 and 10? 130
    
2.   Add:   -1 and -10? -11
    
3.   Divide:   -6 and -6? 1
    
4.   Substract:   3 and -6? 9
    
5.   Calculate: |15 + -16 · -13 + -9| 214
    
6.   Simplify the following expressions:
  • 7x + 2x – 19x -10x
        
  • -10x – -14 + -8 – -12y 6-10x+12y
        
  • -17z + 11 + -3y + -3z – -12z 11-3y-8z
        
  • x-19 × y15 × x-14 × x7 x-26 × y15
        
  • x8
    x2
    x6
        
  • (9x5)7 4782969x35
        
7.   Which of the following expressions show the associative property?
  • 0 + 3x = 3x
  • 5 + 4 = 4 + 5
  • ( m × n ) × p = m × ( n × p )
  • 5 × 1 = 5
C
    
8.   Which properties are illustrated by the following three expressions?
  • x × (v + w) = (v + w) × x
  • ( g × h ) × f = g × ( h × f )
  • 1 × (r + s) = r + s
  • Associative property of multiplication, Associative property of addition and Identity property of multiplication
  • Distributive property, Commutative property of addition and Commutative property of multiplication
  • Distributive property, Identity property of multiplication and Identity property of addition
  • Commutative property of multiplication, Associative property of multiplication and Identity property of multiplication
D
    
9.   Solve the following equations for x:
  • -x + -22 = -28 x = 6
        
  • 5
    25
    =
    5
    25
    x x = 1
        
  • 71 = 4x – 77 x = 37
        
  • cx = e x = e/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -20x – 1 < -21 x > 1
        
  • x ≠ 13
  • 92 < x ≥ -52
  • 14
    7
    x < -
    32
    2
    x < -8
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000811 8.11 × 10-8
        
  • 16800000 1.68 × 107
        
12.   Add the following polynomials:
  • -12z9 + -4z7 + -8z6 + -5z4 + 11z2  and  5z9 + -1z7 + -4z2 + 11z1
    -7z9 + -5z7 + -8z6 + -5z4 + 7z2 + 11z1
        
  • 12z13 + 4z6 + 2z3  and  -7z13 + -11z6 + 3z3 5z13 + -7z6 + 5z3
        
13.   Multiply the following polynomials and simplify:
  • (5x5 + 10x3)9x5
    45x10 + 90x8
        
  • (6x2 + 6)(6x3 + 5x)
    36x5 + 66x3 + 30x
        
14.   Divide:
  • 12x2 - 62x + 81 / 4x - 10
    (3x - 8) with a remainder of 1
        
15.   Find the greatest common factor of the following terms:
  • 90, 54
    18
        
  • 63xy5, 84y10, 48x5y9
    3y5
        
16.   Factor the following polynomials:
  • 28x4 - 4x3 - 32x2
    28x2(x + 1)(x -
    8
    7
    )
        
  • x2 - 4x - 12
    (x + 2)(x - 6)
        
  • x8 - 2x7 - 195x6
    x6(x - 15)(x + 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -2
    and
    6


        
  • x =
    0
    ,
    15

    and
    -13
        
18.   You have 7 CDs. How many different ways can you listen to them?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 33, 14, 36, 1, 15, 28, 13
        
20.   A bag contains 5 blue balls, 2 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?
    22.22%
        
  • A blue ball or red ball?
    77.78%
        
  • Two red balls?
    4.94%
        
  • A blue ball and a white ball?
    12.35%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -10
    x - y = -19
    A(-14.5,4.5)
        
  • 3x - 7y = -14
    10x + 10y = 11

    B(-0.63,1.73)
        
22.   Write the following fractions in simplest form:
  • 5x10y2
    15x10y10
    1
    3y8
        
  • x(x + 8)
    x5 + 16x4 + 64x3
    1
    x2(x + 8)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 7x = 78
    x1 = 6,   x2 = -13
        
24.   Convert the following repeating decimal into a fraction:
  • x = 1.545
    1530
    990
        
25.   Solve the following equation:
  • -
    12
    x
    = -12
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 21
    14 +
    6
    294 - 21
    6
    190
        
27.   Use a trigonometric ratio to find x:
x = 38.18 cm
    
28.   The sum of two consecutive odd integers is 36. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=17, b=19
    
29.   After you leave your house, you walk 12 blocks south and 5 blocks west. How far are you from your house?
  • I am
    13
    blocks from my house.
        
30.   The length of a rectangle is 6 more than twice its width. The area of the rectangle is 216m2. What is the length and width of the rectangle?
  • width = 9,  length = 24
        


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