Calculating Discounts and Variables

This video tutorial covers Math 7 Unit 6 Lesson 5, focusing on reasoning about equations and tape diagrams. It includes activities that use tape diagrams to solve problems involving gift bags, equilateral triangles, art class fees, and running distances. The video also demonstrates how to match equations to real-world situations and provides an overview of homework problems and solutions.

What is the main focus of the introduction in this lesson?

• Understanding fractions

• Graphing linear equations

• Solving equations mentally and using subtraction

• Using multiplication in equations

In the tape diagram activity, what does the variable X represent in the gift bag scenario?

• The number of gift bags

• The total number of pencils

• The initial number of pencils in each bag

• The number of additional pencils added

How is the perimeter of the equilateral triangle calculated in the tape diagram activity?

• By adding X to each side length and summing them

• By multiplying the side lengths by X

• By adding the side lengths and multiplying by 3

• By adding the side lengths and subtracting X

What does the variable X represent in the art class fee scenario?

• The fee each student pays for supplies

• The number of classes

• The total amount collected

• The total number of students

Which equation matches the scenario where Elena ran 20 miles?

• 5 * (X + 3) = 20

• 3 * (X + 5) = 20

• X + 3 * 5 = 20

• X + 5 * 3 = 20

What is the cost per pound of an item if 4 pounds cost $5?

• $1.00

• $1.75

• $1.50

• $1.25

How do you determine the range of a set of temperatures?

• By adding all temperatures together

• By dividing the highest temperature by the lowest

• By subtracting the lowest temperature from the highest

• By finding the average temperature

What is the first step in calculating a 25% discount on a $24 shirt?

• Divide $24 by 0.25

• Multiply $24 by 0.25

• Add $6 to $24

• Subtract $6 from $24

Which method can be used to find the sale price of a discounted item?

• Multiply the original price by the discount percentage

• Subtract the discount from the original price

• Divide the original price by the discount percentage

• Add the discount to the original price

What is the sale price of a shirt originally priced at $24 with a 25% discount?

• $22

• $20

• $18

• $16