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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -15 and 20? -300
    
2.   Add:   -2 and -11? -13
    
3.   Divide:   -10 and -2? 5
    
4.   Substract:   -18 and 16? -34
    
5.   Calculate: |-10 + 6 · -15 + -11| 111
    
6.   Simplify the following expressions:
  • 19x + -17x – -15x 17x
        
  • -20x – 15y + -4x – 11y -24x-26y
        
  • -20 + -13x + 17x – 6y + 2 -18+4x-6y
        
  • x-15 × x-8 × y-10 x-23 × y-10
        
  • x-16
    x-19
    x3
        
  • (8x3)9 134217728x27
        
7.   Which of the following expressions show the associative property?
  • -8 × 8 = 8 × -8
  • ( x × y ) × z = x × ( y × z )
  • 7x + 7 = 7 + 7x
  • 4( 8 + 6 ) = 4×8 + 4×6
B
    
8.   Which properties are illustrated by the following three expressions?
  • -15 + 15 × -1 = 15 × -1 + -15
  • s × ( t × 1 ) = ( s × t ) × 1
  • z × ( -9 + 6 ) = z × -9 + z × 6
  • Commutative property of multiplication, Identity property of multiplication and Commutative property of addition
  • Commutative property of addition, Associative property of multiplication and Distributive property
  • Commutative property of multiplication, Identity property of addition and Distributive property
  • Distributive property, Associative property of multiplication and Associative property of addition
B
    
9.   Solve the following equations for x:
  • 14 = -41 – -x x = 55
        
  • 14
    3
    x = -
    28
    3
    x = -2
        
  • 55 = -62x – 69 x = -2
        
  • fx = d x = d/f
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -3x + 16 > 25 x < -3
        
  • x ≠ -673
  • 51 ≥ x ≥ -86
  • -
    22
    11
    x ≤ -
    32
    16
    x ≥ 1
        
11.   Convert the following numbers into scientific notation:
  • 0.000683 6.83 × 10-4
        
  • 31800000000 3.18 × 1010
        
12.   Add the following polynomials:
  • -4z10 + 3z8 + 8z5 + -2z4 + 13z1  and  -1z10 + 15z1
    -5z10 + 3z8 + 8z5 + -2z4 + 28z1
        
  • -2z20 + 13z19 + 6z5 + -13  and  12z19 + -4z16 + 2z11 + -9z5 + -11 -2z20 + 25z19 + -4z16 + 2z11 + -3z5 + -24
        
13.   Multiply the following polynomials and simplify:
  • (4x4 + 9x2 + 3x)(4x3 + 7x2 + 1)
    16x7 + 28x6 + 36x5 + 79x4 + 21x3 + 9x2 + 3x
        
  • (2x3 + 6x2 + 4)(4x5 + 6x)
    8x8 + 24x7 + 16x5 + 12x4 + 36x3 + 24x
        
14.   Divide:
  • 8x3 + 28x2 - 8x - 28 / 2x + 7
    4x2 - 4
        
15.   Find the greatest common factor of the following terms:
  • 50, 40
    10
        
  • 99y7, 39x9y9, 78x6y
    3y
        
16.   Factor the following polynomials:
  • 65x3 + 91x2 + 26x
    65x(x + 1)(x +
    2
    5
    )
        
  • x2 + 3x - 4
    (x + 4)(x - 1)
        
  • x8 - 20x7 + 91x6
    x6(x - 13)(x - 7)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    -4
    and
    1


        
  • x =
    0
    ,
    13

    and
    7
        
18.   You have 5 pants, 3 shirts, and 4 shoes. How many different ways can you dress?
  • 60
        
19.   Use the following data to construct a box and whiskers plot:
  • 35, 16, 37, 19, 7, 4, 13, 32
        
20.   A bag contains 5 blue balls, 3 red balls, and 6 white balls.
You pick a ball from the bag and put it in your pocket.
What is the probability of picking:
  • A white ball?
    42.86%
        
  • A blue ball or red ball?
    57.14%
        
  • Two red balls?
    3.30%
        
  • A blue ball and a white ball?
    16.48%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = -1
    x - y = -15
    A(-8,7)
        
  • 10x - 5y = -7
    3x + 8y = 7

    B(-0.22,0.96)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • (x + 2)3
    (x + 2)4
    1
    x + 2
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 16x = x2 + 15
    x1 = 15,   x2 = 1
        
24.   Convert the following repeating decimal into a fraction:
  • x = 9.7
    88
    9
        
25.   Solve the following equation:
  • 7 -
    2x - 7
    = -8
    x = 116
        
26.   Rationalize the denominator of each fraction below:
  • 3
    1 -
    15
    -
    3 + 3
    15
    14
        
27.   Use a trigonometric ratio to find x:
x = 17.32 cm
    
28.   The sum of two consecutive odd integers is 40. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=19, b=21
    
29.   After you leave your house, you walk 12 blocks north and 9 blocks west. How far are you from your house?
  • I am
    15
    blocks from my house.
        
30.   A rectangle has a width that is 5 m less than its length. The area of the rectangle is 14m2. What are the dimensions of the rectangle?
  • width = 2,  length = 7
        


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