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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -17 and -6? 102
    
2.   Add:   8 and -18? -10
    
3.   Divide:   -11 and -1? 11
    
4.   Substract:   -1 and -3? 2
    
5.   Calculate: |-5 + -9 · 10| 95
    
6.   Simplify the following expressions:
  • -20x – -10 – 10x 10-30x
        
  • -19y – -17y – -17 + 11 28-2y
        
  • -12z + 19y + -15 – 5 – 8y -20+11y-12z
        
  • y8 × y-5 y3
        
  • x-2
    x17
    x-19
        
  • (3x2)7 2187x14
        
7.   Which of the following expressions show the associative property?
  • 9( 2 + 1 ) = 9×2 + 9×1
  • ( m × n ) × 8 = m × ( n × 8 )
  • ( m × n ) + 9 = 9 + ( m × n )
  • a + b = b + a
B
    
8.   Which properties are illustrated by the following three expressions?
  • ( o + p ) + n = o + ( p + n )
  • 0 + w + 14 = w + 14
  • -7 × -13 = -7 × -13
  • Distributive property, Associative property of multiplication and Commutative property of addition
  • Associative property of addition, Identity property of addition and Commutative property of multiplication
  • Associative property of multiplication, Identity property of multiplication and Commutative property of addition
  • Commutative property of multiplication, Commutative property of addition and Associative property of multiplication
B
    
9.   Solve the following equations for x:
  • 48 = 3 · -x x = -16
        
  • -
    8
    12
    x =
    8
    12
    x = -1
        
  • -61 = 19x + -4 x = -3
        
  • b = ex x = b/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • x + 25 ≥ 12 x ≥ -13
        
  • x ≠ 398
  • -79 ≥ x > -1
  • -
    12
    4
    x ≤
    36
    2
    x ≥ -6
        
11.   Convert the following numbers into scientific notation:
  • 0.000000741 7.41 × 10-7
        
  • 202000000 2.02 × 108
        
12.   Add the following polynomials:
  • 6z8 + -9z4 + 8z2 + -9z1  and  -10z8 + -10z4 + -14z2 + -8z1
    -4z8 + -19z4 + -6z2 + -17z1
        
  • 3z20 + -13z17 + 4z10  and  -15z20 + -1z17 + -9z10 + 12z6 + 1z4 -12z20 + -14z17 + -5z10 + 12z6 + 1z4
        
13.   Multiply the following polynomials and simplify:
  • 9(5x5 + x)
    45x5 + 9x
        
  • (5x5 + x2)(4x5 + 9x4)
    20x10 + 45x9 + 4x7 + 9x6
        
14.   Divide:
  • 2x2 + 6x - 20 / x + 5
    2x - 4
        
15.   Find the greatest common factor of the following terms:
  • 39, 60
    3
        
  • 60x3y10, 88x3
    4x3
        
16.   Factor the following polynomials:
  • 8x4 - 100x3 - 52x2
    8x2(x +
    1
    2
    )(x - 13)
        
  • x2 + 4x - 12
    (x - 2)(x + 6)
        
  • x6 + 2x5 - 15x4
    x4(x + 5)(x - 3)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    2
    and
    -6


        
  • x =
    0
    ,
    -5

    and
    3
        
18.   You have 5 pants, 2 shirts, and 3 shoes. How many different ways can you dress?
  • 30
        
19.   Use the following data to construct a box and whiskers plot:
  • 30, 31, 18, 12, 4, 20, 27, 34
        
20.   A bag contains 7 blue balls, 5 red balls, and 7 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    36.84%
        
  • A blue ball or red ball?
    63.16%
        
  • Two red balls?
    6.93%
        
  • A blue ball and a white ball?
    13.57%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -4
    x - y = -17
    A(-10.5,6.5)
        
  • x - 6y = -13
    4x + 2y = -7

    B(-2.62,1.73)
        
22.   Write the following fractions in simplest form:
  • 12x3y7
    3x5y10
    4
    x2y3
        
  • (x + 3)
    (x + 3)4
    1
    (x + 3)3
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • -56 = x2 - 18x
    x1 = 4,   x2 = 14
        
24.   Convert the following repeating decimal into a fraction:
  • x = 5.187
    5136
    990
        
25.   Solve the following equation:
  • -7
    x
    - 6 = -9
    x
    - 4
    x = 1
        
26.   Rationalize the denominator of each fraction below:
  • 5
    10
    10
    30
    3
    6
        
27.   Use a trigonometric ratio to find x:
x = 22.00 cm
    
28.   The sum of two consecutive even integers is 38. What are the integers? (Hint: use 2x as the first even integer)
a=18, b=20
    
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 169m2. What is the original length of a side of the square?
  • 9 m
        


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