more on standard form

Agenda Wed., Dec. 1

Homework Check

Homework 14 p. 301 # 27 - 37, 47, 48

6-3 Examples 4 & 5

The sophomore class holds a car wash to raise money. A local merchant donates all of the supplies. A wash costs $5 per car and $8.00 per truck.

a. Define a variable for the number of cars. Define a different variable for the number of trucks.

b. Write an equation in standard form to relate the number of cars and trucks the students must wash to raise $800.

c. If they wash no trucks, how many cars must they wash?

d. If they wash no cars, how many trucks must they wash?

40 80 120 160 200

20

40

60

80

100

# of cars

# of trucks

The school is putting on a play and is selling tickets. Adult tickets cost $10 each and student tickets cost $5 each.

a. Define a variable for the number of adults. Define a different variable for the number of students.

b. Write an equation in standard form to relate the number of adult tickets and the number of student tickets that must be sold to raise $2,000.

c. If they sell no student tickets, how many adult tickets must they sell?

d. If they sell no adult tickets, how many student tickets must they sell?

80 160 240 320 400

40

80

120

160

200

# of Student Tickets

# of Adult Tickets

Ax + By = C

To put into standard form, just use rules for solving equations.

Try these:

y = 3x + 1 -3x + y = 1 or3x - y = -1

x - 2y = 6 or-x + 2y = -6

-14x + 4y = 1 or

14x - 4y = -1

d

Write in Standard Form using integers.