Word Problems in Mathematics

The video tutorial covers the use of if-then moves in solving equations, demonstrating how adding, subtracting, multiplying, or dividing both sides of an equation maintains its truth. It includes examples such as a firefighters' fundraiser, designing a pet pen, Nancy's morning routine, and a field trip, each illustrating practical applications of these mathematical principles.

What happens to an equation if you add the same number to both sides?

• The equation becomes false.

• The equation remains true.

• The equation becomes undefined.

• The equation doubles in value.

In the firefighters' fundraiser example, how much more did Keller collect than Julia?

• $42.50

• $55.95

• $27.50

• $15.00

What is the total amount collected by the three firefighters?

• $100.00

• $175.00

• $125.95

• $150.00

In the pet pen example, what is the length of the pen if the width is 4 1/3 feet?

• 6 1/3 feet

• 8 feet

• 10 2/3 feet

• 12 feet

How much longer is the length of the pet pen compared to its width?

• 4 feet

• 7 feet

• 6 1/3 feet

• 5 feet

How long does Nancy spend driving to work?

• 30 minutes

• 26 minutes

• 15 minutes

• 20 minutes

What fraction of Nancy's morning routine is spent getting dressed?

• 2/3

• 1/3

• 1/4

• 1/2

How many students went on the field trip if there were 7 chaperones?

• 74

• 81

• 54

• 67

What fraction of the participants rode the large bus?

• 3/4

• 1/2

• 1/3

• 2/3

How many participants rode the smaller bus?

• 81

• 54

• 36

• 27