Semester 2 ('24) Final Review

Use substitution to solve the system.

$$6x-2y\ =\ 20$$

$$4x-y\ =\ 4$$

Use elimination to solve the system.

$$3x-4y\ =\ -24$$

$$x\ +\ y\ =\ -1$$

Billy has some one-dollar bills and some five-dollar bills. He has 14 bills. The value of the bill is $30. Solve a system of equations using elimination to find how many of each kind of bill he has.

The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap cost $1 and the chicken wrap costs $2.90. Today they made $294.10 from the 144 wraps sold. How many of the wraps sold were vegetarian?

You decide to market your own custom computer software. You must invest $3255 for computer hardware, and spend $2.90 to buy and package each disk. If each program sells for $13.75, how many copies must you sell to break even?

Which ordered pair is a solution of the inequality?

$$y\ge\ 4x\ -5\$$

Which ordered pair is a solution of the inequality?

$$y\ +1\ <3x$$

What is the solution of the system? Pick the correct graph.

$$y=x+1$$

$$y\ =4x-2$$

Graph the inequality.

$$y<4x-2$$

Which inequality represents the graph?