Graphing Systems of Equations from Word Problems

The video tutorial covers graphing systems of equations through various real-life scenarios, including temperature changes, bowling costs, towing services, and a school donation competition. Students learn to model problems with equations, use the Desmos calculator for graphing, and interpret points of intersection.

What is the main goal of today's lesson?

• To learn how to solve quadratic equations.

• To write and graph a system of equations from word problems.

• To practice basic arithmetic operations.

• To understand the properties of geometric shapes.

Tags

CCSS.HSA-REI.B.4B

What is the initial temperature in New York in the given scenario?

• 3 degrees Fahrenheit

• 6 degrees Fahrenheit

• 0 degrees Fahrenheit

• Negative 1 degree Fahrenheit

Tags

CCSS.6.NS.C.5

What is the rate of temperature change in Alaska?

• Rises 3 degrees per day

• Rises 1 degree every two days

• Falls 3 degrees per day

• Falls 1 degree every two days

Tags

CCSS.HSF-LE.A.1B

What does the point of intersection (2, 5) represent in the temperature scenario?

• The temperature difference between the cities is 5 degrees.

• The temperature difference between the cities is 2 degrees.

• After 5 days, the temperature in both cities will be 2 degrees.

• After 2 days, the temperature in both cities will be 5 degrees.

Tags

CCSS.8.EE.C.8C

How much does Jasper pay for shoe rental?

• 6 dollars

• 3 dollars

• 4 dollars

• 2 dollars

Tags

CCSS.6.EE.B.7

On which night is it cheaper for Jasper to bowl for one hour?

• League night

• Weekend night

• Open bowling time

• Family night

What is the initial charge for the auto shop to pick you up?

• 25 dollars

• 20 dollars

• 15 dollars

• 10 dollars

Tags

CCSS.HSF.LE.B.5

Which towing company is cheaper if you need to be towed for 30 miles?

• Benny's Wrecker Service

• Auto shop

• None of the above

• Both cost the same

Tags

CCSS.8.EE.B.5

How many items have you already donated in the homeroom competition?

• 8 items

• 14 items

• 5 items

• 3 items

Tags

CCSS.6.EE.B.6

How many weeks will it take for both you and your friend to have collected the same amount of items?

• 4 weeks

• 3 weeks

• 5 weeks

• 2 weeks

Tags

CCSS.8.EE.C.8C