Systems of Linear and Quadratic Equations (Graphing)

1.x - y = -5

2y = -2 - 2x

Work:

2. x = 2y + 6

y = x - 2

Work:

3. y = 2x - 2

x - 2y = 4

Work:

4. 3x - y = 6

(3x - y)/3 = 2

Work:

5. 2x - 3y = 8

5x - y = 7

Work:

6. 3x - 4y = 31

y = (3/2)x - 23/2

Work:

7. x + y = 4

y = -(¹/₄)x²+ 4

Work:

8. 3x + 2y = 6

Y = x²- 4

Work:

Solve the following graphically.

9. 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. Which system of linear equations represents this scenario?

a.2c + 6c = 540

3.5b + 8b = 360

b.2c - 6c = 540

3.5b - 8b = 360

c.2c + 3.5b = 360

6c + 8b = 900

d.2c +8b = 360

6c + 3.5b = 900

10. Solve the following graphically labeling the horizontal axis c for cards and the vertical axis b for bouquets.Label the scales to fit the numbers to the problem.For example, 10, 20, 30.... Determine approximately how many cards and bouquets can be bought and sold by Mu Alpha Theta.

Work:(graph)