Solving Systems of Equations in Word Problems

This video tutorial covers writing and solving word problems using systems of linear equations. It includes examples such as river lengths, baseball hits, stormtrooper squadrons, jet weights, basketball shots, and popcorn sales. The video demonstrates methods like substitution, addition, and subtraction to solve these problems, emphasizing the importance of setting up equations based on given information.

What is the first step in solving the river lengths problem?

• Substitute one equation into the other

• Add the two equations together

• Guess and check different values

• Isolate one variable in one of the equations

What does the equation 'C = 600 + M' represent in the river lengths problem?

• The total length of rivers C and M

• River C's length is 600 miles

• River C is 600 miles longer than River M

• River M is 600 miles longer than River C

Which method is used to solve the base hits problem?

• Graphical method

• Elimination by addition

• Substitution

• Elimination by subtraction

In the base hits problem, what does Pedro's total hits equation represent?

• Pedro's hits minus Ricky's hits

• Ricky's hits plus 274

• Pedro's hits are 274 more than Ricky's

• The total base hits of both players

What does the difference in the number of stormtroopers between the squadrons indicate?

• The division of the squadrons

• The addition of both squadrons

• The subtraction of one squadron from the other

• The total number of stormtroopers

What is the significance of the equation 'A + B = 120' in the stormtrooper squadrons problem?

• It calculates the average number of stormtroopers

• It shows the total number of stormtroopers

• It divides the stormtroopers into two groups

• It represents the difference in stormtroopers

How is the weight difference between the two jets used in solving the problem?

• By using the difference to eliminate one variable

• By subtracting the difference from the total weight

• By dividing the total weight by the difference

• By adding the difference to the total weight

In the jet weights problem, what does the equation 'W + Y = 580' signify?

• The weight of the heavier jet

• The total weight of both jets

• The difference in weight between the jets

• The average weight of the jets

What represents the number of one-point shots in the basketball game?

• Z

• Y

• X

• W

How many large bags of popcorn were sold?

• 403

• 48

• 211

• 259