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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   9 and 2? 18
    
2.   Add:   2 and 14? 16
    
3.   Divide:   -3 and 3? -1
    
4.   Substract:   14 and -16? 30
    
5.   Calculate: |-2 + -13 · 17 + 8| 215
    
6.   Simplify the following expressions:
  • -5x – 9 – -11 2-5x
        
  • 8y – -16x – 6x + 16y 10x+24y
        
  • 13z + -5y – 16y – -17 – -18y – 1z 17-3y+12z
        
  • y0 × x-13 x-13 × y0
        
  • x-14
    x11
    x-25
        
  • (9x)3 729x3
        
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • 5 + -10 = -10 + 5
  • ( m × n ) × 9 = m × ( n × 9 )
  • ( m × n ) + 6 = 6 + ( m × n )
C
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + -24 = -24
  • -11 × -3 + -5 = -5 + -11 × -3
  • ( -5 + 6 ) + 7 = -5 + ( 6 + 7 )
  • Identity property of addition, Commutative property of addition and Associative property of addition
  • Commutative property of multiplication, Identity property of addition and Identity property of multiplication
  • Distributive property, Commutative property of addition and Identity property of addition
  • Associative property of multiplication, Commutative property of multiplication and Associative property of addition
A
    
9.   Solve the following equations for x:
  • -29 = -x + 50 x = 79
        
  • 17
    7
    =
    17
    7
    x x = 1
        
  • -74 = -18x – -88 x = 9
        
  • d – cx = gx x = d/(c+g)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -43x – 32 < 11 x > -1
        
  • x ≠ -764
  • 31 > x ≤ -14
  • 12
    4
    x ≤ -24 x ≤ -8
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000902 9.02 × 10-8
        
  • 20800 2.08 × 104
        
12.   Add the following polynomials:
  • 5z10 + 4z9 + -14z8 + -1z5 + 2z2  and  7z10 + -5z9 + -1z8 + -13z5 + -13z2
    12z10 + -1z9 + -15z8 + -14z5 + -11z2
        
  • -10z19 + -15z18 + 12z7 + -4z5  and  10z20 + 9z7 + -10z5 10z20 + -10z19 + -15z18 + 21z7 + -14z5
        
13.   Multiply the following polynomials and simplify:
  • (10x5 + 3x2 + 10x)(3x5 + 7x4)
    30x10 + 70x9 + 9x7 + 51x6 + 70x5
        
  • (9x3 + 4x + 10)(10x5 + x4 + 2)
    90x8 + 9x7 + 40x6 + 104x5 + 10x4 + 18x3 + 8x + 20
        
14.   Divide:
  • 25x2 - 10x - 24 / 5x - 6
    5x + 4
        
15.   Find the greatest common factor of the following terms:
  • 66, 45
    3
        
  • 60x3y10, 84x6y6, 22x3y7
    2x3y6
        
16.   Factor the following polynomials:
  • 30x4 - 99x3 + 81x2
    30x2(x -
    3
    2
    )(x -
    9
    5
    )
        
  • x2 + 3x - 54
    (x - 6)(x + 9)
        
  • x8 + 9x7 - 22x6
    x6(x + 11)(x - 2)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    6
    and
    -9


        
  • x =
    0
    ,
    -11

    and
    2
        
18.   You are seating 4 people on 4 chairs. How many different ways can those people sit?
  • 24
        
19.   Use the following data to construct a box and whiskers plot:
  • 10, 35, 28, 8, 40, 19, 4
        
20.   A bag contains 7 blue balls, 3 red balls, and 5 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    33.33%
        
  • A blue ball or red ball?
    66.67%
        
  • Two red balls?
    4.00%
        
  • A blue ball and a white ball?
    15.56%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 5
    x - y = -6
    A(-0.5,5.5)
        
  • 2x - 10y = -12
    12x + 14y = 2

    B(-1,1)
        
22.   Write the following fractions in simplest form:
  • 27x5y8
    9x7y4
    3y4
    x2
        
  • (x - 8)6
    (x - 8)7
    1
    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 - 6 = -5x
    x1 = 1,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 5.492
    5438
    990
        
25.   Solve the following equation:
  • -
    5x - 10
    + 10 = -5
    x = 47
        
26.   Rationalize the denominator of each fraction below:
  • 7
    18
    7
    2
    6
        
27.   Use a trigonometric ratio to find x:
x = 19.05 cm
    
28.   The sum of two consecutive odd integers is 28. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=13, b=15
    
29.   After you leave your house, you walk 12 blocks south and 9 blocks west. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   The length of a rectangle is 6 less than 2 times the width. What are the dimensions of the rectangle if the area is 360ft2?
  • width = 15,  length = 24
        


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