Solving Equations and Word Problems

The video tutorial introduces a 'get fit' challenge where Mark exercises on a treadmill. The task is to determine the fractions of time he spent walking and jogging. The problem is modeled using two equations based on the given rates and total distance. The tutorial guides viewers through formulating these equations and solving them using substitution to find the time fractions for walking and jogging.

What was the main objective of Mark's treadmill exercise?

• To increase his running speed

• To set a new personal record

• To determine the total distance covered

• To find out the time spent on each activity

What speed did Mark set the treadmill to while walking?

• 7 mph

• 3 mph

• 5 mph

• 6 mph

Which equation represents the total distance Mark covered?

• x - y = 1

• 3x + 7y = 6

• x + y = 6

• 3x + 7y = 1

What is the second equation derived from the problem statement?

• x + y = 1

• 3x + y = 6

• x - y = 1

• 3x + 7y = 6

What method is used to solve the system of equations?

• Graphical method

• Elimination method

• Substitution method

• Matrix method

What fraction of the hour did Mark spend walking?

• 1/3

• 1/4

• 1/2

• 1/5

How is the equation for y derived in the substitution method?

• y = 1 - x

• y = 7 - x

• y = x - 1

• y = 6 - 3x

What is the value of y after solving the equations?

• 3/4

• 1/4

• 1/2

• 2/3

What is the equivalent of 1 in terms of fractions to solve for y?

• 5/5

• 4/4

• 3/3

• 2/2

What is the final step in solving for x?

• Dividing by -4

• Multiplying by 4

• Adding 4 to both sides

• Subtracting 4 from both sides