Math Problem Solving Scenarios

This video is a mid-unit review for Math 7, Unit 6. It covers various problems involving balance, tape diagrams, exercise equations, and cost calculations. The instructor guides students through solving equations, checking for errors, and understanding different problem-solving methods. Key topics include using tape diagrams, formulating equations from word problems, and calculating costs in real-world scenarios.

What is the main purpose of this video tutorial?

• To teach history.

• To provide entertainment.

• To review and check your work on a math unit.

• To introduce new math concepts.

In the balance problem, what was the initial error identified?

• The weights were not labeled.

• The weight of one side was incorrectly stated as 14 grams instead of 17 grams.

• The balance was not actually balanced.

• The problem had no solution.

What is the correct weight of each circle in the balance problem?

• 9 grams

• 6 grams

• 4.5 grams

• 5 grams

In the tape diagram problem, what is the total value represented?

• 70

• 60

• 90

• 80

Which scenario matches the tape diagram with a total of 80?

• A family goes to a play.

• Leonard babysits.

• Penny buys chocolates.

• Sheldon bakes cakes.

What does the variable x represent in the squats and sit-ups problem?

• The number of sit-ups Raj does.

• The total number of exercises.

• The number of squats Raj does.

• The number of sit-ups Howard does.

In solving linear equations, what is the first step?

• Subtract the constant from both sides.

• Multiply both sides by a variable.

• Divide both sides by a variable.

• Add a constant to both sides.

What was Stuart's mistake in solving the fraction equation?

• He added instead of subtracting.

• He multiplied by 2 instead of 1/2.

• He divided by the wrong number.

• He forgot to add a constant.

In the food package problem, what does the variable r represent?

• The weight of beans.

• The weight of rice.

• The total weight of the package.

• The number of boxes.

How many t-shirts can Bernadette make with a budget of $1200?

• 150

• 177

• 200

• 180