Systems of Equations and Word Problems

This lesson covers systems of equations, focusing on vocabulary, definitions, and problem-solving through examples involving basketball, road trips, and races. Students learn to write and solve systems of equations, graph them, and interpret solutions. The lesson emphasizes the importance of understanding how equations relate to real-world scenarios.

What is a system of equations?

• A single equation with multiple variables

• Two or more equations related to the same situation

• An equation with no solution

• A set of equations with different variables

What is the solution to a system of equations?

• A graph that intersects at multiple points

• A single number that satisfies one equation

• A set of coordinates that makes all equations true

• A pair of numbers that only satisfies one equation

In the basketball problem, what equation represents the total points scored?

• 2x + 3y = 30

• x + y = 30

• 3x + 2y = 30

• x - y = 30

How many two-point shots did Derek make if he made four three-point shots?

• Ten

• Nine

• Six

• Five

In the road trip problem, what is Fernie's speed?

• 50 miles per hour

• 45 miles per hour

• 60 miles per hour

• 70 miles per hour

How many hours after Fernie starts driving does he catch up to Efren?

• Three hours

• Five hours

• Seven hours

• Six hours

In the race problem, what is Jessica's speed in terms of miles per minute?

• 1/7 mile per minute

• 1/6 mile per minute

• 1/8 mile per minute

• 1/5 mile per minute

Who wins the race if Jessica and Carl race for three miles?

• They tie

• Carl

• Neither finishes

• Jessica

At approximately what point do Jessica and Carl meet during the race?

• (6, 0.8)

• (3, 0.5)

• (4, 0.6)

• (5, 0.7)

What should you do after completing the problem set in the lesson?

• Submit it to the teacher

• Check answers online

• Ignore it

• Redo the entire lesson