In the following activity, match each pair of equivalent expressions. 1 . (7 - 2x) + (3x - 11) 2(x - 2)

2 . -3x + 6 + 4x (x + 14) - (8 - 2x)

3 . -2x + 9 + 5x + 6 3(x + 5)

4 . 9x - 2(3x - 3) -4(x + 1) + 5x

5 . -7 + 6x - 4x + 3 (7 + 5x) + (-4x - 1)

1. -8+3x

2. 51x-2+4x2 (squared)

3. 66x +324

4. 6x+2

5.  13 +13x

Step-by-step explanation:

I don't think I really understand the question but I tried to simplify the equations

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

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