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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   9 and -6? -54
    
2.   Add:   -15 and -10? -25
    
3.   Divide:   17 and -1? -17
    
4.   Substract:   7 and 3? 4
    
5.   Calculate: |-9 · -3 + 8| 35
    
6.   Simplify the following expressions:
  • -10 + -18x – 2 -12-18x
        
  • 19x + 17 + 20y – 20 -3+19x+20y
        
  • -5y – -15z + 17z + -10y + 13z -15y+45z
        
  • x-11 × y-3 x-11 × y-3
        
  • x-5
    x5
    x-10
        
  • (8x)7 2097152x7
        
7.   Which of the following expressions show the associative property?
  • 5( 4 + 3 ) = 5×4 + 5×3
  • ( m × n ) × p = m × ( n × p )
  • ( 4 × -4 ) + 3 = 3 + ( 4 × -4 )
  • r × ( s + 4 ) = rs + 4s
B
    
8.   Which properties are illustrated by the following three expressions?
  • 9 + ( -13 + 15 ) = ( 9 + -13 ) + 15
  • ( 5 × -11 ) × -15 = 5 × ( -11 × -15 )
  • 96 × 1 = 96
  • Associative property of addition, Associative property of multiplication and Identity property of multiplication
  • Associative property of multiplication, Commutative property of multiplication and Distributive property
  • Distributive property, Associative property of addition and Identity property of multiplication
  • Commutative property of addition, Associative property of addition and Identity property of multiplication
A
    
9.   Solve the following equations for x:
  • -x – 78 = 93 x = -171
        
  • -
    29
    7
    = -
    29
    7
    x x = 1
        
  • -66 = 30 – 6x x = 16
        
  • ex = -d x = -d/e
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -x – -26 ≥ 35 x ≤ -9
        
  • x ≠ 925
  • -48 < x ≥ -46
  • 24
    12
    x ≥ -20 x ≥ -10
        
11.   Convert the following numbers into scientific notation:
  • 0.000000000918 9.18 × 10-10
        
  • 68800000 6.88 × 107
        
12.   Add the following polynomials:
  • 6z9 + 13z4 + 1z3  and  -15z9 + 2z8 + 14z7 + 13z5 + -6z4
    -9z9 + 2z8 + 14z7 + 13z5 + 7z4 + 1z3
        
  • 5z14 + 11z12 + 11z10 + 15z9 + -11z1  and  -3z14 + -1z12 + -11z10 + -13z1 2z14 + 10z12 + 15z9 + -24z1
        
13.   Multiply the following polynomials and simplify:
  • (3x3 + 6x2 + 4x)8
    24x3 + 48x2 + 32x
        
  • (4x4 + 4x2 - 6)(1x4 + 9x3)
    4x8 + 36x7 + 4x6 + 36x5 - 6x4 - 54x3
        
14.   Divide:
  • 6x2 + 20x + 16 / 3x + 4
    2x + 4
        
15.   Find the greatest common factor of the following terms:
  • 39, 12
    3
        
  • 9, 40x5y6, 14x10y6
    1
        
16.   Factor the following polynomials:
  • 38x4 - 76x3 + 38x2
    38x2(x - 1)(x - 1)
        
  • x2 + 10x + 24
    (x + 4)(x + 6)
        
  • x8 - 5x7 - 36x6
    x6(x - 9)(x + 4)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -4
    and
    -6


        
  • x =
    0
    ,
    9

    and
    -4
        
18.   You are seating 6 people on 6 chairs. How many different ways can those people sit?
  • 720
        
19.   Use the following data to construct a box and whiskers plot:
  • 40, 27, 11, 34, 21, 39, 26
        
20.   A bag contains 2 blue balls, 6 red balls, and 6 white balls.
You pick a ball from the bag and return it to the bag.
What is the probability of picking:
  • A white ball?
    42.86%
        
  • A blue ball or red ball?
    57.14%
        
  • Two red balls?
    18.37%
        
  • A blue ball and a white ball?
    6.12%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -6
    x - y = -15
    A(-10.5,4.5)
        
  • 4x - 11y = -19
    9x + 2y = -16

    B(-2,1)
        
22.   Write the following fractions in simplest form:
  • 14x2y5
    42x3y8
    1
    3xy3
        
  • x3(x + 6)
    x4 + 10x3 + 24x2
    x
    (x + 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 + 2x = 24
    x1 = 4,   x2 = -6
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.815
    734
    900
        
25.   Solve the following equation:
  • -8
    x
    + 8 = -5
    x
    - 1
    x = 9
        
26.   Rationalize the denominator of each fraction below:
  • 3
    21
    + 1
    3
    21
    - 3
    20
        
27.   Use a trigonometric ratio to find x:
x = 27.00 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 4 blocks west and 3 blocks south. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   A rectangle has a length 9 m greater than its width. The area of the rectangle is 220m2. What are the length and width of the rectangle?
  • width = 11,  length = 20
        


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