Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the point-slope form of linear equations, explaining its use in solving real-world problems. It provides examples such as calculating costs for canoe rentals, construction services, internet surfing, and temperature conversion. The tutorial emphasizes the importance of identifying the slope and ordered pairs to set up and solve equations effectively.

What is the formula for point-slope form?

• y - y1 = m(x - x1)

• y = mx + b

• ax + by = c

• y = x + c

Tags

CCSS.8.EE.B.5

If a canoe rental costs $12 per hour, what is the slope in the point-slope equation?

• 7

• 12

• 68

• 4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

In the equation y - 68 = 12(x - 4), what does 68 represent?

• The y-coordinate of the point

• The x-coordinate of the point

• The y-intercept

• The slope

What is the final equation for the cost to rent a canoe for 7 hours?

• y = 12x + 104

• y = 12x + 84

• y = 12x + 20

• y = 12x + 68

Tags

CCSS.8.EE.B.5

What is the slope in the equation y - 219 = 18(x - 8)?

• 0

• 8

• 18

• 219

Tags

CCSS.HSF.LE.B.5

How much is the one-time fee for the trash dumpster in the construction company problem?

• $75

• $219

• $144

• $18

Tags

CCSS.8.EE.B.5

What is the first step in solving a two-point problem?

• Distribute the slope

• Combine like terms

• Label the points

• Find the y-intercept

Tags

CCSS.8.EE.B.5

What is the slope between the points (15, 4.05) and (40, 5.80)?

• 1.75

• 0.07

• 0.18

• 25

What is the equation for the cost of surfing the web for one hour?

• y = 0.07x + 4.05

• y = 0.07x + 3

• y = 0.07x + 7.20

• y = 0.07x + 5.80

Tags

CCSS.6.RP.A.3D

If the weather forecast says it will be 25 degrees Celsius, what is the temperature in Fahrenheit?

• 100°F

• 212°F

• 77°F

• 32°F

Tags

CCSS.6.RP.A.3D