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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -11 and 20? -220
    
2.   Add:   10 and 17? 27
    
3.   Divide:   16 and 8? 2
    
4.   Substract:   -9 and 1? -10
    
5.   Calculate: |10 · -19 + -13 · 4| 242
    
6.   Simplify the following expressions:
  • 11 + -6x – -2 13-6x
        
  • 11y – -15y – -11y – 5 -5+37y
        
  • 19z – -7y + -4 – -6x + 20x – -11y -4+26x+18y+19z
        
  • x16 × x7 × y-16 × y-7 x23 × y-23
        
  • x19
    x-5
    x24
        
  • (7x2)8 5764801x16
        
7.   Which of the following expressions show the associative property?
  • 0 + 9x = 9x
  • 7 + 2q + 3
  • a + b = b + a
  • ( 3 + 8 ) + 2 = 3 + ( 8 + 2 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • (r + s) × t = t × (r + s)
  • h × ( i × j ) = ( h × i ) × j
  • z + -4 × -9 = -4 × -9 + z
  • Commutative property of addition, Commutative property of multiplication and Identity property of addition
  • Associative property of multiplication, Commutative property of multiplication and Identity property of multiplication
  • Commutative property of multiplication, Associative property of multiplication and Commutative property of addition
  • Associative property of multiplication, Distributive property and Associative property of addition
C
    
9.   Solve the following equations for x:
  • -x + 46 = -83 x = 129
        
  • -
    4
    24
    = -
    1
    24
    x x = 4
        
  • -94 = 19 + -113x x = 1
        
  • c = -dx x = -c/d
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x – -32 ≤ -20 x ≤ -52
        
  • x ≠ 422
  • 68 > x < -51
  • 21
    7
    x ≥ 3 x ≥ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.000683 6.83 × 10-4
        
  • 1500000 1.5 × 106
        
12.   Add the following polynomials:
  • -3z9 + 9z2  and  12z10 + -11z9 + -12z4 + -4z2
    12z10 + -14z9 + -12z4 + 5z2
        
  • -11z13 + -1z9 + 10z8 + 6z2  and  9z9 + -14z8 + 15z2 -11z13 + 8z9 + -4z8 + 21z2
        
13.   Multiply the following polynomials and simplify:
  • (9x4 + 7x2 - 5)(4x3 + 3x2 - 6)
    36x7 + 27x6 + 28x5 - 33x4 - 20x3 - 57x2 + 30
        
  • (8x5 + x2)(2x5 + 7x4)
    16x10 + 56x9 + 2x7 + 7x6
        
14.   Divide:
  • 6x3 + 3x2 - 6x - 1 / 2x + 1
    (3x2 - 3) with a remainder of 2
        
15.   Find the greatest common factor of the following terms:
  • 77, 36, 10
    1
        
  • 45x4y, 30x6y, 54x7y6
    3x4y
        
16.   Factor the following polynomials:
  • 12x5 + 54x4 + 60x3
    12x3(x +
    5
    2
    )(x + 2)
        
  • x2 - 4x - 32
    (x + 4)(x - 8)
        
  • x4 - 15x3 + 26x2
    x2(x - 2)(x - 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -4
    and
    8


        
  • x =
    0
    ,
    2

    and
    13
        
18.   You have 6 books to read. How many different ways can you read your books?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 17, 19, 9, 11, 16, 22, 2, 20
        
20.   A bag contains 5 blue balls, 7 red balls, and 5 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    29.41%
        
  • A blue ball or red ball?
    70.59%
        
  • Two red balls?
    15.44%
        
  • A blue ball and a white ball?
    9.19%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 3
    x - y = -16
    A(-6.5,9.5)
        
  • 3x - 8y = 10
    7x + 6y = -1

    B(0.7,-0.99)
        
22.   Write the following fractions in simplest form:
  • 66x6y9
    22x10y8
    3y
    x4
        
  • (x + 2)2
    (x + 2)
    x + 2
        
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 = 0.522
    470
    900
        
25.   Solve the following equation:
  • -
    3x - 2
    + 13 = 8
    x = 9
        
26.   Rationalize the denominator of each fraction below:
  • 25
    5
    1 +
    7
    -
    25
    5
    - 25
    35
    6
        
27.   Use a trigonometric ratio to find x:
x = 22.63 cm
    
28.   The sum of two consecutive even integers is 58. What are the integers? (Hint: use 2x as the first even integer)
a=28, b=30
    
29.   After you leave your house, you walk 4 blocks south and 3 blocks west. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   The length of a rectangle is 3 more than thrice its width. The area of the rectangle is 270ft2. What is the length and width of the rectangle?
  • width = 9,  length = 30
        


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