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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   3 and 3? 9
    
2.   Add:   -17 and -11? -28
    
3.   Divide:   -10 and 2? -5
    
4.   Substract:   -2 and -16? 14
    
5.   Calculate: |-17 · 4 + 16 · -5| 148
    
6.   Simplify the following expressions:
  • 20x – 10x + 16x 26x
        
  • -17y – 4y + 12y – -8x 8x-9y
        
  • -10y + -10y + 17x + -11z + -5 -5+17x-20y-11z
        
  • x19 × y-17 × x12 x31 × y-17
        
  • x4
    x17
    x-13
        
  • (6x5)7 279936x35
        
7.   Which of the following expressions show the associative property?
  • a + b = b + a
  • 0 + -9x = -9x
  • 9( 3 + 2 ) = 9×3 + 9×2
  • ( 5 × 9 ) × 8 = 5 × ( 9 × 8 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • g × ( h × i ) = ( g × h ) × i
  • 81 + 0 = 81
  • ( 20 + 4 ) × z = 20 × z + 4 × z
  • Associative property of multiplication, Identity property of addition and Distributive property
  • Associative property of addition, Associative property of multiplication and Commutative property of multiplication
  • Associative property of multiplication, Identity property of addition and Commutative property of multiplication
  • Identity property of addition, Commutative property of addition and Associative property of multiplication
A
    
9.   Solve the following equations for x:
  • -8 = x – 48 x = 40
        
  • -
    1
    14
    x = -
    5
    14
    x = 5
        
  • -29 = 34 – 3x x = 21
        
  • ex = -b x = -b/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – 18 < -19 x > 1
        
  • x ≠ -949
  • -77 < x ≥ 88
  • 18
    9
    x ≤ -
    30
    3
    x ≤ -5
        
11.   Convert the following numbers into scientific notation:
  • 0.00000000870 8.7 × 10-9
        
  • 93300000 9.33 × 107
        
12.   Add the following polynomials:
  • 4z10 + 10z6 + -2z4 + -15z3  and  -6z10 + -13z2
    -2z10 + 10z6 + -2z4 + -15z3 + -13z2
        
  • 13z19 + -8z14 + -6z3  and  2z19 + 9z14 + -7z8 + -11z3 15z19 + 1z14 + -7z8 + -17z3
        
13.   Multiply the following polynomials and simplify:
  • 10x4(5x5 + 4x2)
    50x9 + 40x6
        
  • (4x + 9)(5x4 + 6x)
    20x5 + 45x4 + 24x2 + 54x
        
14.   Divide:
  • 12x2 - 6 / 4x + 4
    (3x - 3) with a remainder of 6
        
15.   Find the greatest common factor of the following terms:
  • 100, 10, 55
    5
        
  • 96x7y7, 24xy10, 66x3y8
    6xy7
        
16.   Factor the following polynomials:
  • 10x3 + 18x2 + 7x
    10x(x -
    -9 +
    11
    10
    )(x -
    -9 -
    11
    10
    )
        
  • x2 - 4x - 5
    (x - 5)(x + 1)
        
  • x9 + 23x8 + 126x7
    x7(x + 9)(x + 14)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    5
    and
    -1


        
  • x =
    0
    ,
    -9

    and
    -14
        
18.   You have 3 pants, 5 shirts, and 5 shoes. How many different ways can you dress?
  • 75
        
19.   Use the following data to construct a box and whiskers plot:
  • 1, 22, 13, 3, 26, 12, 35, 7, 15
        
20.   A bag contains 5 blue balls, 5 red balls, and 7 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    41.18%
        
  • A blue ball or red ball?
    58.82%
        
  • Two red balls?
    8.65%
        
  • A blue ball and a white ball?
    12.11%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -13
    x - y = -18
    A(-15.5,2.5)
        
  • 8x - 3y = 17
    2x + 3y = 9

    B(2.6,1.27)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 10)2
    (x + 10)7
    1
    (x + 10)5
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 + 8x = -12
    x1 = -2,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.73
    73
    99
        
25.   Solve the following equation:
  • 12
    x
    = 2
    x = 3
        
26.   Rationalize the denominator of each fraction below:
  • 25
    10
    - 7
    -
    25
    10
    + 175
    39
        
27.   Use a trigonometric ratio to find x:
x = 26.16 cm
    
28.   The sum of two consecutive odd integers is 32. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=15, b=17
    
29.   After you leave your house, you walk 6 blocks east and 8 blocks north. How far are you from your house?
  • I am
    10
    blocks from my house.
        
30.   A rectangle has a length 8 ft greater than its width. The area of the rectangle is 33ft2. What are the length and width of the rectangle?
  • width = 3,  length = 11
        


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