Kent multiplies both sides of the equation below by an expression.Then he moves all the terms to one side of the equal sign in the resulting equation. Which equation must he solve now?

k squared minus 8 k minus 12 = 0

k squared + 8 k + 12 = 0

k squared minus 8 + 12 = 0

k squared minus 8 k + 12 = 0

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Which solution to the equation is extraneous?

x = 1 and x = –4

neither x = 1 or x = –4

x = 1

x = –4

What are the solutions to the equation ?

w = –6 and w = –2

w = 0, w = 2, and w = 6

w = 0 and w =

w = 2 and w = 6

What is the solution to the equation ?

m = 3

m = 6

all real numbers

no solution

A contractor has two choices for billing a completed job. · $500 flat rate, regardless of the number of hours worked· $20 per hour workedThe graph shows the relationship between pay per hour and number of hours worked for both scenarios. What is the solution to this system of equations, and what does it mean to the contractor?

The solution (0, 20) tells the contractor the minimum amount that can be charged.

The solution (0, 500) tells the contractor the maximum amount that can be charged.

The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.

Janet wants to solve the equation . What should she multiply both sides of the equation by?

y2 – 1

y + 1

y2 + y + 2

A student solves the following equation for all possible values of x:His solution is as follows: Step 1: 8(x – 4) = 2(x + 2)Step 2: 4(x – 4) = (x + 2)Step 3: 4x – 16 = x + 2Step 4: 3x = 18Step 5: x = 6He determines that 6 is an extraneous solution because the difference of the numerators is 6, so the 6s cancel to 0.Which best describes the reasonableness of the student’s solution?