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Algebra test generator



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Solve the following problems:

Important instructions

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1.   Multiply:   -12 and -13? 156
    
2.   Add:   3 and -1? 2
    
3.   Divide:   5 and -5? -1
    
4.   Substract:   5 and -18? 23
    
5.   Calculate: |-12 · 5 + 20| 40
    
6.   Simplify the following expressions:
  • 1 – 5 – 13x -4-13x
        
  • 16x – 3 – 18 – -11x -21+27x
        
  • -12x – -9z + 20z + 3y + 1y + 2x -10x+4y+29z
        
  • y-2 × x6 × y-10 x6 × y-12
        
  • x13
    x20
    x-7
        
  • (3x4)4 81x16
        
7.   Which of the following expressions show the associative property?
  • ( 3 × 2 ) × 6 = 3 × ( 2 × 6 )
  • 6x + 9 = 9 + 6x
  • ( x + y ) × 5 = 5 × ( y + x )
  • 0 + -8x = -8x
A
    
8.   Which properties are illustrated by the following three expressions?
  • 1 × -33 = -33
  • -8 × 20 + -10 = -10 + -8 × 20
  • 18 × ( -17 × 5 ) = ( 18 × -17 ) × 5
  • Identity property of addition, Distributive property and Commutative property of multiplication
  • Commutative property of multiplication, Associative property of multiplication and Associative property of addition
  • Identity property of addition, Associative property of addition and Commutative property of multiplication
  • Identity property of multiplication, Commutative property of addition and Associative property of multiplication
D
    
9.   Solve the following equations for x:
  • -92 = -4 · x x = 23
        
  • 20
    14
    =
    5
    14
    x x = 4
        
  • 55 = -5x + -60 x = -23
        
  • bx = -c x = -c/b
        
10.   Solve the following inequalities. Then graph a) on the number line
  • -5x + 18 ≤ -7 x ≥ 5
        
  • x ≠ -530
  • 86 < x < 68
  • -
    12
    3
    x > 32 x < -8
        
11.   Convert the following numbers into scientific notation:
  • 0.0000282 2.82 × 10-5
        
  • 477000000 4.77 × 108
        
12.   Add the following polynomials:
  • 5z10 + -13z4 + 2z3 + 13  and  -8z10 + -2z3
    -3z10 + -13z4 + 13
        
  • 6z19 + -4z16 + 15z15 + 2z4 + 2z3  and  -11z16 + -9z12 + 9z4 + 6z3 + -4z1 6z19 + -15z16 + 15z15 + -9z12 + 11z4 + 8z3 + -4z1
        
13.   Multiply the following polynomials and simplify:
  • 3x(2x5 + 6x4 + 10x)
    6x6 + 18x5 + 30x2
        
  • (10x3 + 9x2 - 1)(8x4 + 10x2 + 2x)
    80x7 + 72x6 + 100x5 + 102x4 + 18x3 - 10x2 - 2x
        
14.   Divide:
  • 15x2 + 39x + 18 / 5x + 3
    3x + 6
        
15.   Find the greatest common factor of the following terms:
  • 100, 90
    10
        
  • 52y2, 28x4y
    4y
        
16.   Factor the following polynomials:
  • 64x3 + 64x2 + 3x
    64x(x -
    -4 +
    13
    8
    )(x -
    -4 -
    13
    8
    )
        
  • x2 + 2x - 24
    (x - 4)(x + 6)
        
  • x9 + 0x8 - 81x7
    x7(x + 9)(x - 9)
        
17.   For question 16, exercises b) and c), solve for x:
  • x =
    4
    and
    -6


        
  • x =
    0
    ,
    -9

    and
    9
        
18.   You are seating 8 people on 8 chairs. How many different ways can those people sit?
  • 40320
        
19.   Use the following data to construct a box and whiskers plot:
  • 12, 19, 2, 6, 29, 11, 40
        
20.   A bag contains 3 blue balls, 2 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?
    54.55%
        
  • A blue ball or red ball?
    45.45%
        
  • Two red balls?
    1.82%
        
  • A blue ball and a white ball?
    16.36%
        
21.   Solve and graph the following systems of linear equations:
  • x + y = 19
    x - y = -2
    A(8.5,10.5)
        
  • 10x - 6y = 4
    2x + 8y = 10

    B(1,1)
        
22.   Write the following fractions in simplest form:
  • 22x6y7z4
    44x7y9z2
    z2
    2xy2
        
  • x2(x - 6)
    x7 - 3x6 - 18x5
    1
    x3(x + 3)
        
23.   Solve the equation below in two different ways. First, solve it using the quadratic formula. Secondly, solve it by completing the square.
  • 2x - 8 = -x2
    x1 = 2,   x2 = -4
        
24.   Convert the following repeating decimal into a fraction:
  • x = 0.3330
    3327
    9990
        
25.   Solve the following equation:
  • -11 +
    x - 7
    = -11
    x = 7
        
26.   Rationalize the denominator of each fraction below:
  • 35
    14
    + 5
    -
    35
    14
    - 175
    11
        
27.   Use a trigonometric ratio to find x:
x = 13.86 cm
    
28.   The sum of two consecutive odd integers is 56. What are the integers? (Hint: use 2x+1 as the first odd integer)
a=27, b=29
    
29.   After you leave your house, you walk 4 blocks south and 3 blocks east. How far are you from your house?
  • I am
    5
    blocks from my house.
        
30.   The length of a rectangle is 6 less than 3 times the width. What are the dimensions of the rectangle if the area is 360m2?
  • width = 12,  length = 30
        


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