Solving Linear Equations from Word Problems

This video tutorial covers writing linear equations from verbal expressions. It begins with a review of key concepts like slope and y-intercept, followed by solving various real-world problems. These include calculating costs for a club membership, loan repayment, taco calories, park entry fees, and carrot consumption. Each problem is solved using the slope-intercept form of linear equations, emphasizing the identification of slope and y-intercept from given information.

What keywords should you look for to identify the slope in a word problem?

• Initial cost, one-time fee

• Each, every, per

• Tax, deposit

• Starting amount

In the Sock of the Month Club problem, what is the y-intercept?

• $50

• $10

• $60

• $100

What is the slope in the equation representing the total cost of the Sock of the Month Club?

• $50

• $10

• $60

• $100

In Lena's loan repayment problem, what is the slope of the equation?

• $180

• -$20

• $20

• -$180

What is the y-intercept in Lena's loan repayment problem?

• -$180

• -$20

• $180

• $20

How many calories are in 3 tacos from Taco Shack?

• 240 calories

• 180 calories

• 120 calories

• 60 calories

What is the y-intercept in the equation representing the number of calories in X tacos?

• 50

• 30

• 0

• 60

What is the slope in the equation representing the cost per car with X number of people at Bob's Amazing World of Birds?

• $30

• $80

• $20

• $50

In Mrs. Lewis's hamster problem, what is the slope of the equation?

• -30

• 30

• -5

• 5

According to the commutative property of addition, which of the following equations is correct?

• Both A and B

• None of the above

• y = -5x + 30

• y = 30 - 5x