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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 11? 121
    
2.   Add:   16 and -20? -4
    
3.   Divide:   2 and -2? -1
    
4.   Substract:   -5 and -11? 6
    
5.   Calculate: |12 · 10 + 16 · 5| 200
    
6.   Simplify the following expressions:
  • -19x – 11x – 14x -44x
        
  • -18y – -16x – 20y – -13y 16x-25y
        
  • -7 – 1x + -18z – -17x – 4y -7+16x-4y-18z
        
  • y-9 × y-15 × x20 x20 × y-24
        
  • x18
    x9
    x9
        
  • (7x4)7 823543x28
        
7.   Which of the following expressions show the associative property?
  • ( x × y ) × z = x × ( y × z )
  • ( m × n ) + 8 = 8 + ( m × n )
  • a + b = b + a
  • -4 × ( y + 6 + 6 ) = -4×y + -4×6 + -4×6
A
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × -79 = -79
  • b × ( c × d ) = ( b × c ) × d
  • 6 + n + o = n + o + 6
  • Identity property of addition, Identity property of multiplication and Commutative property of addition
  • Associative property of multiplication, Distributive property and Associative property of addition
  • Identity property of multiplication, Associative property of multiplication and Commutative property of addition
  • Identity property of addition, Associative property of addition and Identity property of multiplication
C
    
9.   Solve the following equations for x:
  • -94 + x = 28 x = 122
        
  • 1
    7
    x =
    24
    7
    x = 24
        
  • -58 = -15x + -43 x = 1
        
  • e + f = -gx x = (-e-f)/g
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x + 7 > -29 x < 36
        
  • x ≠ 663
  • -1 ≥ x ≤ 17
  • 20
    4
    x < -
    20
    2
    x < -2
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000804 8.04 × 10-10
        
  • 69900000 6.99 × 107
        
12.   Add the following polynomials:
  • -2z9 + -14z6  and  14z9 + -1z6
    12z9 + -15z6
        
  • 7z16 + 1z15 + -6z12 + 11z6  and  -1z16 + -14z15 + -5z12 6z16 + -13z15 + -11z12 + 11z6
        
13.   Multiply the following polynomials and simplify:
  • 1x(1x5 + 6x4 + 5x2)
    x6 + 6x5 + 5x3
        
  • (10x4 + 4x)(2x5 + 8x3 + 5x2)
    20x9 + 80x7 + 58x6 + 32x4 + 20x3
        
14.   Divide:
  • 5x3 + 35x2 + 5x + 35 / x + 7
    5x2 + 5
        
15.   Find the greatest common factor of the following terms:
  • 77, 72
    1
        
  • 60xy4, 54xy
    6xy
        
16.   Factor the following polynomials:
  • 25x3 + 45x2 + 14x
    25x(x +
    2
    5
    )(x +
    7
    5
    )
        
  • x2 - 5x - 50
    (x - 10)(x + 5)
        
  • x5 + 28x4 + 195x3
    x3(x + 15)(x + 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    10
    and
    -5


        
  • x =
    0
    ,
    -15

    and
    -13
        
18.   You have 5 pants, 4 shirts, and 3 shoes. How many different ways can you dress?
  • 60
        
19.   Use the following data to construct a box and whiskers plot:
  • 5, 7, 30, 10, 20, 33, 26, 4, 28
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 18
  • What is the probability of getting heads and 3?
    2.78%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting tails and a multiple of 5?
    8.33%
        
  • What is the probability of getting tails and a prime number?
    19.44%
        
  • What is the probability of not heads and not 11?
    47.22%
        
  • What is the probability of getting not heads 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 = -2
    A(1,3)
        
  • x - 9y = 19
    9x + 9y = -8

    B(1.1,-1.99)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x3 - 4x2 - 21x
    x4(x - 7)
    (x + 3)
    x3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 9x = x2 - 22
    x1 = -2,   x2 = 11
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.35
    32
    90
        
25.   Solve the following equation:
  • -9
    x
    + 20 = 11
    x
    - 20
    x = 4
        
26.   Rationalize the denominator of each fraction below:
  • 5
    15
    15 +
    5
    15
    15
    - 5
    3
    44
        
27.   Use a trigonometric ratio to find x:
x = 39.84 cm
    
28.   The sum of two consecutive even integers is 30. What are the integers? (Hint: use 2x as the first even integer)
a=14, b=16
    
29.   After you leave your house, you walk 3 blocks east and 4 blocks south. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   Each side of a square is lengthened by 4 m. This makes the area of the square 225m2. What is the original length of a side of the square?
  • 11 m
        


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