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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   26 and 57? 1482
    
2.   Add:   -79 and 35? -44
    
3.   Divide:   75 and 25? 3
    
4.   Substract:   -76 and -98? 22
    
5.   Calculate: |12 · 71 + 75| 927
    
6.   Simplify the following expressions:
  • -100x – 3x + -51 -51-103x
        
  • 70y + -35y – 79 + 17 -62+35y
        
  • -65y + -4y + -66 + 44y + -53x – 24z -66-53x-25y-24z
        
  • y-33 × y-58 × y-98 × x-80 x-80 × y-189
        
  • x68
    x-42
    x110
        
  • (7x2)5 16807x10
        
7.   Which of the following expressions show the associative property?
  • ( m + n ) × 7 = 7 × ( m + n )
  • ( 4 × 5 ) × 9 = 4 × ( 5 × 9 )
  • -9 × -6 = -6 × -9
  • 7( 6 + 7 ) = 7×6 + 7×7
B
    
8.   Which properties are illustrated by the following three expressions?
  • (g + h) × 1 = g + h
  • i × (g + h) = (g + h) × i
  • i × ( j × k ) = ( i × j ) × k
  • Identity property of multiplication, Commutative property of multiplication and Associative property of multiplication
  • Associative property of addition, Commutative property of multiplication and Identity property of addition
  • Commutative property of addition, Identity property of addition and Associative property of addition
  • Associative property of multiplication, Associative property of addition and Distributive property
A
    
9.   Solve the following equations for x:
  • 47 = -x + 27 x = -20
        
  • 2
    11
    x = -
    14
    11
    x = -7
        
  • 61 = 5x – 39 x = 20
        
  • g = bx x = g/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 77x – 37 ≥ 40 x ≥ 1
        
  • x ≠ 175
  • 38 ≤ x < 86
  • 27
    9
    x < -
    21
    7
    x < -1
        
11.   Convert the following numbers into scientific notation:
  • 0.00000384 3.84 × 10-6
        
  • 80300 8.03 × 104
        
12.   Add the following polynomials:
  • -9z10 + 19z9 + 1z7 + -6z4 + -11  and  17z10 + 3z9
    8z10 + 22z9 + 1z7 + -6z4 + -11
        
  • -40z13 + 31z12 + -26z11 + 35z5 + -14z3  and  44z19 + -39z13 + 36z5 44z19 + -79z13 + 31z12 + -26z11 + 71z5 + -14z3
        
13.   Multiply the following polynomials and simplify:
  • (9x2 + x)-8
    -72x2 - 8x
        
  • (3x4 + 3x2)(8x5 + 9x4 + 4x3)
    24x9 + 27x8 + 36x7 + 27x6 + 12x5
        
14.   Divide:
  • 9x3 + 21x2 - 6x - 14 / 3x + 7
    3x2 - 2
        
15.   Find the greatest common factor of the following terms:
  • 162, 360
    18
        
  • 432x9y3, 375x2y7, 390y7
    3y3
        
16.   Factor the following polynomials:
  • 68x5 + 32x4 + 3x3
    68x3(x -
    -8 +
    13
    34
    )(x -
    -8 -
    13
    34
    )
        
  • x2 - x - 2
    (x + 1)(x - 2)
        
  • x5 + 5x4 - 126x3
    x3(x + 14)(x - 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -1
    and
    2


        
  • x =
    0
    ,
    -14

    and
    9
        
18.   How many ways can 3 people wait in line?
  • 6
        
19.   Use the following data to construct a box and whiskers plot:
  • 24, 35, 36, 20, 2, 14, 26, 16, 22, 38
        
20.   Suppose you toss a coin and spin a spinner numbered 1 through 17
  • What is the probability of getting tails and 3?
    2.94%
        
  • What is the probability of getting heads and an odd number?
    23.53%
        
  • What is the probability of getting tails and a multiple of 3?
    14.71%
        
  • What is the probability of getting tails and a prime number?
    20.59%
        
  • What is the probability of not heads and not 13?
    47.06%
        
  • 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 heads?
    50%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 14
    x - y = 10
    A(12,2)
        
  • x - 5y = 12
    10x + 3y = -5

    B(0.21,-2.36)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 8)6
    (x + 8)3
    (x + 8)3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 6x = x2 - 55
    x1 = -5,   x2 = 11
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.38
    38
    99
        
25.   Solve the following equation:
  • -
    4
    x
    = -6
    x =
    16
    36
        
26.   Rationalize the denominator of each fraction below:
  • 3
    2
    25 +
    5
    75
    2
    - 3
    10
    620
        
27.   Use a trigonometric ratio to find x:
x = 22.00 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 12 blocks west and 9 blocks north. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has a length 2 m greater than its width. The area of the rectangle is 168m2. What are the length and width of the rectangle?
  • width = 12,  length = 14
        


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