Please remember to show ALL of your work on every problem.

Solve the equation for x.

1) 3x - 7 - 7(x + 1) = - (6x + 3)

3x77(x+1)=6x3

3x77x7=6x3

4x77=6x3

4x14=6x3

4x=6x3+14

4x=6x+11

4x+6x

2x

x=

Solve for y.

2) 2x = 3y - 10

2x+y

= y

= 5

y=

Solve the problem.

3) The length of a rectangular room is 4 feet longer than twice the width. If the room's perimeter is 200 feet, what are the room's dimensions?

Solve the inequality. Expression solution set using interval notation and graph the solution set using a number line.

4) -15x + 3 -3(4x - 7)

Determine the equation of the line.

5)

Write the equation of the line, with the given properties, in slope-intercept form.

6) Through (8, 2) and (3, 1)

Solve the problem.

7) The mathematical model C = 500x + 80,000 represents the cost in dollars a company has in manufacturing x items during a month. How many items were produced if costs reached $530,000?

Find the solution to the system of equations by substitution.

8) x + 7y = -2

3x + y = 34

Solve the system of equations using the addition method.

9) 5x + 2y = -1

-5x - 6y = 13

Solve the problem.

10) Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.

C(x) = 86x + 3080

R(x) = 108x