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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -16 and 13? -208
    
2.   Add:   -13 and 10? -3
    
3.   Divide:   12 and 4? 3
    
4.   Substract:   -6 and -18? 12
    
5.   Calculate: |-2 + 3 · 13| 37
    
6.   Simplify the following expressions:
  • -11 – 9 – 8x -20-8x
        
  • -7y + -18 – -9 + -7x -9-7x-7y
        
  • -16y + -16z – -16y – 18y – 2x -2x-18y-16z
        
  • y17 × y-20 × y-4 y-7
        
  • x-6
    x-9
    x3
        
  • (5x4)4 625x16
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) × 8 = m × ( n × 8 )
  • a + b = b + a
  • ( x × y ) + 7 = 7 + ( y × x )
  • 0 + 6x = 6x
A
    
8.   Which properties are illustrated by the following three expressions?
  • ( 5 × -17 ) × -19 = 5 × ( -17 × -19 )
  • ( -2 + 18 ) + 15 = -2 + ( 18 + 15 )
  • (w + x) × 1 = w + x
  • Associative property of multiplication, Associative property of addition and Identity property of multiplication
  • Identity property of addition, Identity property of multiplication and Commutative property of addition
  • Associative property of multiplication, Identity property of multiplication and Commutative property of addition
  • Commutative property of addition, Commutative property of multiplication and Identity property of multiplication
A
    
9.   Solve the following equations for x:
  • -36 = 18 · x x = -2
        
  • -
    1
    9
    x = -
    1
    9
    x = 1
        
  • -58 + -109x = 51 x = -1
        
  • -g = cx x = -g/c
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 26x – 39 < -13 x < 1
        
  • x ≠ -212
  • 15 ≥ x ≥ 41
  • -
    30
    15
    x > -
    12
    3
    x < 2
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000928 9.28 × 10-8
        
  • 9700000000 9.7 × 109
        
12.   Add the following polynomials:
  • 13z9 + -13  and  -9z9 + 9z6
    4z9 + 9z6 + -13
        
  • 5z20 + 15z16 + 13z14 + -14z11 + -9z4  and  -1z20 + 5z14 + 15z7 4z20 + 15z16 + 18z14 + -14z11 + 15z7 + -9z4
        
13.   Multiply the following polynomials and simplify:
  • (4x5 + 6x4)(7x5 + 10x3)
    28x10 + 42x9 + 40x8 + 60x7
        
  • (8x2 + 4x)(1x5 + 5x2 + x)
    8x7 + 4x6 + 40x4 + 28x3 + 4x2
        
14.   Divide:
  • 6x2 - 8x + 10 / 2x - 4
    (3x + 2) with a remainder of 18
        
15.   Find the greatest common factor of the following terms:
  • 48, 30, 70
    2
        
  • 33x7y3, 77x7y8, 27xy6
    xy3
        
16.   Factor the following polynomials:
  • 45x3 + 21x2 - 24x
    45x(x -
    8
    15
    )(x + 1)
        
  • x2 + 0x - 36
    (x + 6)(x - 6)
        
  • x5 + 8x4 - 20x3
    x3(x - 2)(x + 10)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -6
    and
    6


        
  • x =
    0
    ,
    2

    and
    -10
        
18.   You have 4 pants, 5 shirts, and 5 shoes. How many different ways can you dress?
  • 100
        
19.   Use the following data to construct a box and whiskers plot:
  • 4, 32, 17, 21, 33, 29, 36, 26, 22
        
20.   A bag contains 3 blue balls, 5 red balls, and 4 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    33.33%
        
  • A blue ball or red ball?
    66.67%
        
  • Two red balls?
    15.15%
        
  • A blue ball and a white ball?
    9.09%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -14
    x - y = 6
    A(-4,-10)
        
  • 3x - 4y = 7
    10x + 3y = 5

    B(0.84,-1.12)
        
22.   Write the following fractions in simplest form:
  • 14x10y4
    7x7y5
    2x3
    y
        
  • x(x - 1)
    x5 - 6x4 + 5x3
    1
    x2(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.
  • 16x + 15 = -x2
    x1 = -15,   x2 = -1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.6
    6
    9
        
25.   Solve the following equation:
  • 6 -
    5x + 10
    = -9
    x = 43
        
26.   Rationalize the denominator of each fraction below:
  • 49
    14
    - 6
    -
    49
    14
    + 294
    22
        
27.   Use a trigonometric ratio to find x:
x = 15.00 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 north and 9 blocks west. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has a width that is 4 m less than its length. The area of the rectangle is 21m2. What are the dimensions of the rectangle?
  • width = 3,  length = 7
        


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