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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 -18? -288
    
2.   Add:   2 and -17? -15
    
3.   Divide:   18 and 9? 2
    
4.   Substract:   -5 and -20? 15
    
5.   Calculate: |16 + -14 · 3 + 2| 24
    
6.   Simplify the following expressions:
  • -11x + 5 – 4 1-11x
        
  • -15x – -11x – 19y – 5x -9x-19y
        
  • 17x – -19 – -9z + 16z – 14y – 7z 19+17x-14y+18z
        
  • x-7 × x-2 × y-14 × x14 x5 × y-14
        
  • x16
    x-3
    x19
        
  • (4x4)2 16x8
        
7.   Which of the following expressions show the associative property?
  • 10 × 5 = 5 × 10
  • ( x × y ) + 6 = 6 + ( y × x )
  • 2x + 5 = 5 + 2x
  • ( m + n ) + 2 = m + ( n + 2 )
D
    
8.   Which properties are illustrated by the following three expressions?
  • ( -20 + -12 ) + 8 = -20 + ( -12 + 8 )
  • -19 × 12 + 15 = 15 + -19 × 12
  • 7 × ( 16 + 3) = 7 × 16 + 7 × 3
  • Commutative property of multiplication, Identity property of multiplication and Commutative property of addition
  • Associative property of addition, Identity property of addition and Commutative property of addition
  • Commutative property of multiplication, Commutative property of addition and Associative property of addition
  • Associative property of addition, Commutative property of addition and Distributive property
D
    
9.   Solve the following equations for x:
  • -96 = -77 + -x x = 19
        
  • 2
    11
    x = -
    2
    11
    x = -1
        
  • -71 = 3x + 88 x = -53
        
  • fx = -c x = -c/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 61x – 22 < 39 x < 1
        
  • x ≠ -668
  • -47 ≤ x ≤ 70
  • 4x < -
    24
    3
    x < -2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000807 8.07 × 10-10
        
  • 665000 6.65 × 105
        
12.   Add the following polynomials:
  • 8z9 + -13z7 + 10z6 + 7z2  and  15z10 + -10z6 + -8z3
    15z10 + 8z9 + -13z7 + -8z3 + 7z2
        
  • 7z12 + 9z11 + -12z6 + 10z1  and  12z12 + 8z11 + -3z7 + -12z6 + -11z1 19z12 + 17z11 + -3z7 + -24z6 + -1z1
        
13.   Multiply the following polynomials and simplify:
  • (1x5 + 8x4 + 7x2)(10x5 + 3x2)
    10x10 + 80x9 + 73x7 + 24x6 + 21x4
        
  • (5x4 + 10x)(6x4 + 4x2 - 3)
    30x8 + 20x6 + 60x5 - 15x4 + 40x3 - 30x
        
14.   Divide:
  • 5x2 - 35x + 50 / x - 5
    5x - 10
        
15.   Find the greatest common factor of the following terms:
  • 15, 16
    1
        
  • 75x3, 42x6y7
    3x3
        
16.   Factor the following polynomials:
  • 36x4 - 76x3 - 96x2
    36x2(x +
    8
    9
    )(x - 3)
        
  • x2 + 8x + 15
    (x + 3)(x + 5)
        
  • x6 + 18x5 + 72x4
    x4(x + 6)(x + 12)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -3
    and
    -5


        
  • x =
    0
    ,
    -6

    and
    -12
        
18.   You have 5 books to read. How many different ways can you read your books?
  • 120
        
19.   Use the following data to construct a box and whiskers plot:
  • 12, 20, 23, 8, 26, 9, 37, 7, 2
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 13
  • What is the probability of getting tails and 12?
    3.85%
        
  • What is the probability of getting tails and an even number?
    23.08%
        
  • What is the probability of getting heads and a multiple of 4?
    11.54%
        
  • What is the probability of getting heads and a prime number?
    23.08%
        
  • What is the probability of not heads and not 4?
    46.15%
        
  • What is the probability of getting not tails and not a whole number?
    0%
        
  • What is the probability of heads or tails and a whole number?
    100%
        
  • What is the probability of getting tails?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -4
    x - y = -9
    A(-6.5,2.5)
        
  • 10x - 4y = -9
    6x + 4y = -18

    B(-1.69,-1.97)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x - 6)6
    (x - 6)4
    (x - 6)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 + 30x = 99
    x1 = -33,   x2 = 3
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.339
    306
    900
        
25.   Solve the following equation:
  • 40
    x
    = 2
    x = 10
        
26.   Rationalize the denominator of each fraction below:
  • 3
    12
    3
    2
        
27.   Use a trigonometric ratio to find x:
x = 17.32 cm
    
28.   The sum of two consecutive even integers is 22. What are the integers? (Hint: use 2x as the first even integer)
a=10, b=12
    
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 sides of a square are increased by 3 ft. The area of the newly created square is 121ft2. What was the original length of one side of the square?
  • 8 ft
        


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