Lesson 11

A. Solve the following graphically by showing all steps.

1.x - y = -5

y = -4 - 2x

Work:

(graph)

2. y = x - 2

x - 2y = 4

Work:

(graph)

B.Solve the system of equations using the SUBSTITUTION method.Show the steps.

3.5x + y = 1

3x + 4y = 21

C.Solve the system of equations using the ELIMINATION method.Show the steps.

4. 5x + y = 18

10x - y = 27

D.Solve each system of equations using the SUBSTITUTION or ELIMINATION method.Show the steps.

5.3x - y = 6

(3x - y)/3 = 2

6.x - 4y = -18

3/4 + (1/4)y = x

E.Lesson content

7.Describe the results for two parallel lines.The words are in a chart at the beginning of the lesson.Give an example of a system that would yield this system.

F.Applications

8. Mu Alpha Theta, a math honorary club, wants to raise money. The club plans to sell cards and bouquets of flowers for Valentine's Day. Cards cost the club $2 each; bouquets cost the club $3.50 each. Mu Alpha Theta will sell the cards for $6 each, and the flowers for $8 each. The club can spend $360 to buy the cards and flowers. It wants to collect $900 from its sales. What system of linear equations represents this scenario?

9. Solve the previous system of linear equations to determine how many cards and bouquets can be bought and sold by Mu Alpha Theta.

G.ACT/SAT problemShow your work to verify your answer.

10.3x + 4y = 23

2y x = 19

What is the solution (x, y) to the system of equations above?

A) (5, 2)

B) (3, 8)

C) (4, 6)

D) (9, 6)