2. 5x – 4y = 6
Mathematics, 15.12.2020 14:00 cierrajo2020
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?
Answers: 1
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Rewrite each equation in slope-intercept form.
1. 3x + 5y = 12
2. 5x – 4y = 6
2. 5x – 4y = 6
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