# Project #31353 - Help SOON

Show your work.

Use the square-root rule and the law of radicals to solve for the variable in each

given equation. Show all your work.

2y2 = 8

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10x2 = 100

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11a2 = 99

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Turn the following solutions into quadratic equations with no coefficients or

radicals. Show all your work.

x = +5√7

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a = +12√11

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Find the greatest common factor in each equation and factor them out to determine

all possible solutions for each given variable. Do a check and plug each of your

possible solutions for the given variable in the equation to see if it makes the

equation a true statement. Show all your work.

12c2 + 36c = 0

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8p2 – 72p = 0

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Use the zero factor principle to determine all possible solutions for each given

variable. Put all your answers into the simplest form. Do a check and plug each of

your possible solutions for the given variable in the equation to see if it makes the

equation a true statement. Show all your work.

(2p + 4)(4p +2) = 0

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(5x + 20)(1/2x +10) = 0

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(3/2 b + 1)(8x +64) = 0

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Factor the following quadratic equations and determine all possible solutions for

each given variable. Be sure to identify the factors of the equation and the possible

solutions. Do a check and use the foil method to double-check your factorization. Show all

your work.

3y2 + 5y - 2 = 0

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3a2 + 22a + 24 = 0

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5x2 + 24x + 16 = 0

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5x2 + 47x + 18 = 0

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3y2 + 28y + 49 = 0

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Find the solutions for each variable given, using factoring methods. Show all your

work.

3y2 - 28y = -49

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47z + z2 = - 18

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15 + x2 = - 13x

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2g2 + 20 = - 14g

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5s - 2 = -3s2

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Distribute to solve the following equations, and then set the quadratic equation to

zero. Then, factor the new quadratic equation and solve. Reduce all solutions as

much as possible, but keep your answers in rational form.

(3y - 1) (y + 2)=26

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(3y - 1) (y + 2) =76

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(3a + 4) (a + 6) =17

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(5x + 4) (x + 4) =276

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(5x + 2) (x + 9) =-38

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Write the quadratic formula.

26.

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Use the quadratic formula to solve all of the equations below. Be sure to include all

your steps in the equation for finding the solutions. Use a calculator to find the

decimal value of your answer, approximate each solution two decimal places.

2x2 + x - 4 = 0

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x2 + 1 = 3x

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x2 + 8 = 6x + 2

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2(x2 – x) = 5

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Simplify each rational expression. Show all your work.

6x2 – 4x/ 9x2 – 12x + 4

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15p2 – 2p – 8/ 12p – 15p

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y – 1/ y3 – 1

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4m2 + 4m + 1/ 2m2 – 5m – 3

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xy – 2y + 3x – 6/ xy + 3x + 4y + 12

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Multiply and simplify each rational expression. Show all your work.

5y/ x2 • x2 / 20y2 =

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y2 + 2y + 1 / y – 1 • 2y2 – 2y/ y2 – 1 =

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y2 – 5y + 6/ y + 5 • 3y + 15/ y2 – 4y + 4 =

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3x/ 4y2 • 12y/ 5 x2 • 15x3 / 8y =

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x – 1/ x + 1 • 2x + 2/ 3x – 3 • 9/4 =

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Simplify, multiply and divide each rational expression below. Show all your work.

(a/b ÷ c/d) ÷ e/f =

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(x2 + 1/ x2 – 1 • x + 1/ 5x) ÷ x – 1/ 10x2 =

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7x2 / 5 – 3x ÷ ( 21/ 2x + 4 • 2x2 /3x – 5) =

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x2 – 1/ 3x • x2 /x + 1) ÷ x2 –2x + 1/ 6x =

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(y2 – 1/ y2 + 3y ÷ y + 1/ 5y2 ) • y2 + 6y + 9/ y -1 =

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Add each rational expression below. Simplify your answers. Show all your work.

a/ a – 2 + 4a/ a2 – 4a + 4 =

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2x / 2x – 1 + 5x/ 2x2 – 7x + 3 =

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(x2 + 3x/ x2 + 3x + 2) + (x/ x + 2) =

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For the following problems, evaluate the following expression for each value of x

given (2/ 2 – x) + (4 + x2/ 4 - x2) + (2/ 2 + x).

x = 10

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x = 8

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Subtract each rational expression below. Simplify your answers. Show all your

work.

1/a – 2/a2 –3/a2 =

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(y/ y – 1) + (1/y) – (1/ y2 – y) =

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97x/ x2 – 25) – (2/ x -5) + (15/ 25 - x2) =

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(2y/ y + 1) + (4/ y -1) – (4/ y2 – 1) =

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(y/ y + 1) – (4/ y + 4) – (3/y2 +5y + 4) =

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Solve for each variable in the following equations. Be sure to check any or all

solutions to see if they are true for the given equation. Remember, just because you

find two solutions, that does not mean they will both work. Show all your work.

(5/ y2 – 9) = (3/ y + 3) – (2/ y -3)

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(x/ 9) – (4/ 2x + 3) = (1)

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(2x/ 4x – 1) + (x/ 4x + 1) = (1/ 16x2 –1) + (1/2)

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(3/ 2m) – (6/ 2m + m2) = (1/ m + 2)

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(2/ y + 2) – (6/ y2 + 5y + 6) = 5/ (y + 2) 2

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 Subject Mathematics Due By (Pacific Time) 05/22/2014 12:00 am
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