Mathematical Problem Solving Techniques

This video is a 7th-grade math review covering various topics such as budgeting, model train scales, coin circumference, probability, cost calculations, solution processes, garden area calculations, surface area of pyramids, solving equations, and temperature conversion. Each section provides step-by-step solutions to problems, reinforcing key mathematical concepts and problem-solving skills.

What is the first step in determining the minimum annual income needed for a family based on their monthly expenses?

• Multiply the monthly expenses by 10.

• Add up all the monthly expenses.

• Divide the monthly expenses by 12.

• Subtract the monthly savings from the expenses.

If a family spends $3,600 in one month, how much do they need to earn in a year to meet their expenses?

• $50,000

• $48,000

• $43,200

• $36,000

A model train has a scale of 1 inch to 13.5 feet. If a model car is 5 inches long, what is the actual length of the car?

• 67.5 feet

• 60 feet

• 70 feet

• 65 feet

How do you calculate the circumference of a coin if you know its diameter?

• Add pi to the diameter.

• Multiply the diameter by pi.

• Multiply the diameter by 2.

• Divide the diameter by pi.

What is the probability of getting heads on a fair coin toss?

• 1 out of 3

• 1 out of 4

• 1 out of 2

• 1 out of 5

A phone call costs $3 to connect and $2.50 per minute. What is the equation for the total cost C of a call lasting m minutes?

• C = 3 + 2.50m

• C = 2.50m + 3

• C = 2.50 + 3m

• C = 3m + 2.50

Which step is the second in solving the equation process?

• Add 5

• Multiply by 5

• Subtract 5

• Divide by 5

If Mr. Brown's garden is 160 square feet, and cabbage occupies 15% of it, how many square feet does cabbage occupy?

• 18 square feet

• 24 square feet

• 20 square feet

• 30 square feet

What is the total surface area of a square pyramid with a base side of 8 inches and a height of 9 inches?

• 220 square inches

• 210 square inches

• 208 square inches

• 200 square inches

Solve for W in the equation 4W - 8 = -16.

• W = 2

• W = -2

• W = -4

• W = 4