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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 19? 57
    
2.   Add:   -20 and 10? -10
    
3.   Divide:   -14 and -2? 7
    
4.   Substract:   -20 and 9? -29
    
5.   Calculate: |-17 + 20 · -19 + -16| 413
    
6.   Simplify the following expressions:
  • 13x + 17x – 10x 20x
        
  • 19y + 15x + -6x – 10y 9x+9y
        
  • -14y – -1x – 1z – -7x – -11 11+8x-14y-1z
        
  • x-19 × x14 x-5
        
  • x6
    x-14
    x20
        
  • (4x3)9 262144x27
        
7.   Which of the following expressions show the associative property?
  • ( m × n ) + 8 = 8 + ( m × n )
  • 4 × 1 = 4
  • ( -10 × 10 ) + 8 = 8 + ( -10 × 10 )
  • ( m + n ) + p = m + ( n + p )
D
    
8.   Which properties are illustrated by the following three expressions?
  • -1 × -10 + y = y + -1 × -10
  • ( f × 1 ) × e = f × ( 1 × e )
  • i + ( j + 0 ) = ( i + j ) + 0
  • Associative property of multiplication, Commutative property of addition and Distributive property
  • Associative property of addition, Distributive property and Associative property of multiplication
  • Commutative property of addition, Associative property of multiplication and Associative property of addition
  • Associative property of multiplication, Identity property of addition and Commutative property of addition
C
    
9.   Solve the following equations for x:
  • -96 = -x · -3 x = -32
        
  • -
    21
    2
    =
    7
    2
    x x = -3
        
  • -64 = -36 + -7x x = 4
        
  • f = dx x = f/d
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -3x – -22 ≤ 1 x ≥ 7
        
  • x ≠ -206
  • -87 > x > -52
  • -
    26
    13
    x > -
    16
    2
    x < 4
        
11.   Convert the following numbers into scientific notation:
  • 0.000564 5.64 × 10-4
        
  • 7400000000 7.4 × 109
        
12.   Add the following polynomials:
  • 4z8 + 9z6 + -10z4  and  -13z10 + -15z8 + -8z6 + 9z4
    -13z10 + -11z8 + 1z6 + -1z4
        
  • -13z18 + -12z15 + -15z9 + 9z8 + 3  and  -12z12 + 2z9 + -10z8 -13z18 + -12z15 + -12z12 + -13z9 + -1z8 + 3
        
13.   Multiply the following polynomials and simplify:
  • (8x3 + 9)9x2
    72x5 + 81x2
        
  • (6x4 + 8x2 + 5)(3x4 + x3 - 10)
    18x8 + 6x7 + 24x6 + 8x5 - 45x4 + 5x3 - 80x2 - 50
        
14.   Divide:
  • 20x3 + 8x2 - 25x - 10 / 5x + 2
    4x2 - 5
        
15.   Find the greatest common factor of the following terms:
  • 25, 35, 30
    5
        
  • 88xy7, 75x5y8
    xy7
        
16.   Factor the following polynomials:
  • 9x5 - 66x4 + 72x3
    9x3(x -
    4
    3
    )(x - 6)
        
  • x2 - 5x + 6
    (x - 3)(x - 2)
        
  • x7 + 25x6 + 150x5
    x5(x + 10)(x + 15)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    3
    and
    2


        
  • x =
    0
    ,
    -10

    and
    -15
        
18.   How many ways can 6 people wait in line?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 6, 26, 30, 36, 13, 5, 22, 11
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 10
  • What is the probability of getting tails and 5?
    5.00%
        
  • What is the probability of getting tails and an even number?
    25%
        
  • What is the probability of getting heads and a multiple of 2?
    25%
        
  • What is the probability of getting tails and a prime number?
    20%
        
  • What is the probability of not tails and not 4?
    45%
        
  • 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 = 11
    x - y = -2
    A(4.5,6.5)
        
  • 2x - 2y = -8
    5x + 10y = 5

    B(-2.33,1.67)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 1)6
    (x + 1)2
    (x + 1)4
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • x2 - 65 = -8x
    x1 = -13,   x2 = 5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.434
    434
    999
        
25.   Solve the following equation:
  • 16 -
    x - 8
    = 3
    x = 177
        
26.   Rationalize the denominator of each fraction below:
  • 5
    10 +
    7
    50 - 5
    7
    93
        
27.   Use a trigonometric ratio to find x:
x = 27.71 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 west and 3 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 64m2. What is the original length of a side of the square?
  • 4 m
        


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