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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   5 and -11? -55
    
2.   Add:   10 and -20? -10
    
3.   Divide:   -3 and -1? 3
    
4.   Substract:   -19 and 8? -27
    
5.   Calculate: |3 · -9 + 7 · 5| 8
    
6.   Simplify the following expressions:
  • 9 – 12x + -9x 9-21x
        
  • 13 + 2x + -10 – -7x 3+9x
        
  • -13 + -3z – 8x + -20x + 2y -13-28x+2y-3z
        
  • x2 × x-13 × y-14 × y19 x-11 × y5
        
  • x-4
    x18
    x-22
        
  • (10x3)9 1000000000x27
        
7.   Which of the following expressions show the associative property?
  • 0 + 2x = 2x
  • 10 + 2o + 4
  • a + b = b + a
  • ( m × n ) × p = m × ( n × p )
D
    
8.   Which properties are illustrated by the following three expressions?
  • 0 + w + 9 = w + 9
  • ( u + 0 ) + t = u + ( 0 + t )
  • ( -14 × -19 ) × -13 = -14 × ( -19 × -13 )
  • Identity property of addition, Commutative property of multiplication and Commutative property of addition
  • Identity property of addition, Associative property of addition and Associative property of multiplication
  • Commutative property of multiplication, Associative property of addition and Identity property of addition
  • Commutative property of addition, Identity property of addition and Distributive property
B
    
9.   Solve the following equations for x:
  • -x + -60 = 44 x = -104
        
  • 17
    25
    x =
    17
    25
    x = 1
        
  • 68 – -3x = -16 x = -28
        
  • e = -bx + cx x = (-e)/(b-c)
        
10.   Solve the following inequalities. Then graph a) on the number line
  • 17x – -38 ≥ -30 x ≥ -4
        
  • x ≠ -811
  • -29 ≤ x < -47
  • -
    40
    20
    x <
    32
    16
    x > -1
        
11.   Convert the following numbers into scientific notation:
  • 0.0000000000258 2.58 × 10-11
        
  • 3340000000 3.34 × 109
        
12.   Add the following polynomials:
  • 9z5 + 14z4 + -7z1  and  -4z5 + 10z2
    5z5 + 14z4 + 10z2 + -7z1
        
  • -1z9 + -15z6 + 11z4 + 10z3  and  -1z19 + 10z18 + -12z11 + 14z9 + -3z6 -1z19 + 10z18 + -12z11 + 13z9 + -18z6 + 11z4 + 10z3
        
13.   Multiply the following polynomials and simplify:
  • (6x4 + 7x2)6x3
    36x7 + 42x5
        
  • (5x5 + 9x4 + 4x2)(7x3 + 9x2)
    35x8 + 108x7 + 81x6 + 28x5 + 36x4
        
14.   Divide:
  • 20x2 - 23x + 8 / 5x - 2
    (4x - 3) with a remainder of 2
        
15.   Find the greatest common factor of the following terms:
  • 45, 84
    3
        
  • 45x10y4, 48x8y4, 100x3y9
    x3y4
        
16.   Factor the following polynomials:
  • 34x3 - 5x2 - 39x
    34x(x -
    39
    34
    )(x + 1)
        
  • x2 - 10x + 16
    (x - 8)(x - 2)
        
  • x8 + 23x7 + 130x6
    x6(x + 10)(x + 13)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    8
    and
    2


        
  • x =
    0
    ,
    -10

    and
    -13
        
18.   How many ways can 7 people wait in line?
  • 5040
        
19.   Use the following data to construct a box and whiskers plot:
  • 14, 19, 5, 4, 23, 15, 10, 24, 2, 12
        
20.   A bag contains 4 blue balls, 3 red balls, and 3 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    30.00%
        
  • A blue ball or red ball?
    70.00%
        
  • Two red balls?
    6.67%
        
  • A blue ball and a white ball?
    13.33%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -17
    x - y = 16
    A(-0.5,-16.5)
        
  • 10x - 2y = -14
    6x + 3y = 5

    B(-0.76,3.19)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x2 - 18x + 81)
    (x - 9)
    x - 9
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 5 = x2 - 4x
    x1 = -1,   x2 = 5
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.347
    313
    900
        
25.   Solve the following equation:
  • 18
    x
    - 10 = 14
    x
    + 14
    x = 36
        
26.   Rationalize the denominator of each fraction below:
  • 14
    21 +
    3
    147 - 7
    3
    219
        
27.   Use a trigonometric ratio to find x:
x = 54.00 cm
    
28.   The sum of two consecutive even integers is 34. What are the integers? (Hint: use 2x as the first even integer)
a=16, b=18
    
29.   After you leave your house, you walk 8 blocks south and 15 blocks east. How far are you from your house?
  • I am
    17
    blocks from my house.
        
30.   The length of a rectangle is 3 more than thrice its width. The area of the rectangle is 216m2. What is the length and width of the rectangle?
  • width = 8,  length = 27
        


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