1. If you were calculating the volume of a cube that has a side length of 8 inches, how would you write the calculations in exponential form? What are 2 more ways to read the exponent verbally? (10 points) 2. Explain how the letter x is used when writing expressions (what is the purpose of using the "x"), and give an example. (10 points)

3. Identify the parts of the following expression and translate it into a verbal expression: 2(3x – 2y) + 7. Be very specific with your chose of words! (10 points)

4. Explain how to evaluate the expression 8x2 + 25y, when x = 3 and y = 2. Be detailed and state the final answer. (10 points)

5. Explain how to write an equivalent expression for the expression 3(4x + 2y) + 5x. Be sure to explain which properties you used. What method can you use to prove the 2 expressions are equivalent? (10 points)

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.

- (2, -7)

- lines r and s and lines t and u must be parallel

wow ok so the answer is 1k or just k

because of combining like terms xd