Rewrite each equation in slope-intercept form. 1. 3x + 5y = 12

2. 5x – 4y = 6

Directions: Rewrite each equation in standard form.

3. y = 5x + 3

4. y = 1/2 x – 8

Directions: Graph the lines in standard form.

5. 3x + 2y = 6

6. 2x + y = 9

Directions: Write the equation in both slope-intercept and standard form for each of the
scenarios below.

7. You are buying 3 shirts and 2 pairs of pants. You spend $300. Let x represent the
price of the shirt and y represent the price of the pants. Write an equation that can
be used to find the price of the shirts and pants.

A. Standard Form:

B. Slope-Intercept Form:

C. If the shirts cost $20 each how much were each of the pants?

D. Using the Standard Form, identify the x-intercept of the graph and explain
how the x-intercept relates to the price of the pants and shirts.

E. Using the Standard Form, identify the y-intercept of the graph and explain
how the y-intercept relates to the price of the pants and shirts.

8. You are selling concessions at a local swim meet. Hot dogs are being sold for $1.00 and soda is being sold for $0.50. At the end of the day you made $150. Let x represent the number of hotdogs sold and y represent the number of sodas sold. Write an equation that can be used to find the number of hotdogs
and sodas sold at the swim meet.

A. Standard Form:

B. Slope-Intercept Form:

C. If you sold 40 hot dogs how many sodas did you sell?

D. Using the Standard Form, identify the x-intercept of the graph and explain
how the x-intercept relates to the number of hot dogs and sodas sold.

E. Using the Standard Form, identify the y-intercept of the graph and explain
how the y-intercept relates to the number of hot dogs and sodas sold.

9. You are using a taxi cab company that charges a flat fee of $5.00 and an additional $0.50 per mile. Let x represent the number of miles you drive in the taxi and y represent the amount you paid for the ride. Write an equation that can be used to find the amount of money you pay for the taxi ride.

A. Standard Form:

B. Slope-Intercept Form:

C. How much would you pay if the cab ride was 20 miles long?

D. If you only had $25 in your wallet how far could you go?