Solving Equations and Word Problems

This video tutorial covers Math 6 Lesson 4-5, focusing on writing and solving equations with rational numbers. It includes practical examples such as calculating t-shirt costs for soccer teams and solving equations with fractions and decimals. The lesson emphasizes the use of inverse operations and properties of equality to solve equations, comparing the process with both money and whole numbers.

What is the cost of a t-shirt for Team A?

• $12.50

• $11.95

• $14.80

• $8.75

If Lorna is on Team A and Ben is on another team, what is the total cost they paid for their t-shirts?

• $20.00

• $22.50

• $19.75

• $21.25

Which team is Ben on if his t-shirt costs $8.75?

• Team A

• Team B

• Team C

• Team D

How do you solve for an unknown involving money?

• Use whole numbers

• Use properties of equality

• Ignore decimals

• Use only addition

What is the length of the shorter piece if a 6-foot fruit snack is cut into two pieces, one being 3 3/4 feet?

• 2 1/4 feet

• 1 3/4 feet

• 3 feet

• 2 feet

How do you subtract fractions?

• Multiply the denominators

• Add the numerators

• Ignore the denominators

• Change to improper fractions

What is the remaining length if a 6-foot snack is cut and one piece is 3 3/4 feet?

• 2 1/4 feet

• 3 feet

• 1 3/4 feet

• 2 feet

If the shorter piece of a fruit snack is 7/8 foot, how do you find the longer piece?

• Divide by 7/8

• Add 7/8 to the total

• Subtract 7/8 from the total

• Multiply by 7/8

What is the inverse operation of division in equations?

• Multiplication

• Subtraction

• Addition

• Division

How do you solve 5/9y = 25 for y?

• Multiply by 9

• Add 25

• Multiply by 5/9

• Divide by 5