Word problems - when two equations will equal each other - Math test answers

The video tutorial explains how to solve a problem involving Sam and Hector's weight gain. Sam weighs 205 pounds and gains 2 pounds per week, while Hector weighs 195 pounds and gains 3 pounds per week. The goal is to determine how many weeks it will take for them to weigh the same. The instructor sets up an equation using a variable to represent the number of weeks and solves it step-by-step, concluding that it will take 10 weeks for Sam and Hector to weigh the same.

What is the initial weight of Sam?

• 210 pounds

• 200 pounds

• 205 pounds

• 195 pounds

How much weight does Hector gain per week?

• 3 pounds

• 1 pound

• 2 pounds

• 4 pounds

What does the variable X represent in the equation?

• The initial weight of Sam

• The initial weight of Hector

• The number of weeks until their weights are equal

• The total weight gained by Sam

Why is it preferred to subtract the smaller variable when solving the equation?

• To avoid negative numbers

• To make the equation unsolvable

• To make the equation more complex

• To increase the number of steps

How many weeks will it take for Sam and Hector to weigh the same?

• 12 weeks

• 10 weeks

• 8 weeks

• 5 weeks