Writing Linear Equations from Word Problems

This video tutorial covers solving word problems using linear equations. It begins with an introduction to the lesson's goals, focusing on writing equations for word problems. The first example involves calculating the cost of pizzas delivered by GrubHub, using the number of pizzas as the independent variable and the total cost as the dependent variable. The tutorial explains how to determine the slope and y-intercept, and how to interpret them in the context of the problem. The second example models test scores based on study time, again using linear equations to find relationships between variables. The video emphasizes understanding the meaning of slope and y-intercept in real-world scenarios.

What was the total cost for Kirby's order of five pizzas delivered by GrubHub?

• $43

• $30

• $50

• $73

Tags

CCSS.7.EE.B.4A

In the pizza problem, what does the variable 'X' represent?

• Number of pizzas ordered

• Total cost

• Price per pizza

• Delivery fee

Tags

CCSS.HSF.LE.B.5

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

• (y2 - y1) / (x2 - x1)

• (x1 - x2) / (y1 - y2)

• (x2 - x1) / (y2 - y1)

• (y1 - y2) / (x1 - x2)

Tags

CCSS.8.EE.B.5

What is the slope of the line representing the cost of pizzas delivered by GrubHub?

• 30

• 7.5

• 4

• 5.5

Tags

CCSS.8.EE.B.5

What does the y-intercept represent in the pizza problem?

• Cost per pizza

• Total cost for 10 pizzas

• GrubHub delivery fee

• Number of pizzas ordered

Tags

CCSS.HSF.LE.B.5

If you ordered 10 pizzas, what would be the total cost including delivery?

• $75.50

• $90.50

• $80.50

• $85.50

Tags

CCSS.6.EE.B.6

In Anna's test score problem, what does the variable 'Y' represent?

• Percentage increase

• Number of tests

• Test score

• Time studied

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the slope of the line representing Anna's test scores based on study time?

• 1/2

• 2/30

• 2/15

• 15/2

Tags

CCSS.8.EE.B.5

What does the y-intercept represent in Anna's test score problem?

• Total study time

• Maximum score possible

• Score if no study time

• Average study time

Tags

CCSS.HSF.LE.B.5

How many hours should Anna study to score 100% on her next test?

• 2.5 hours

• 2.75 hours

• 3 hours

• 3.5 hours

Tags

CCSS.7.EE.B.4A