Solving Linear Equations and Word Problems

Mr. Holcomb presents a lesson on linear equations in two variables, starting with a basketball scoring problem. He demonstrates how to find all possible combinations of two and three-point baskets to reach a total score of 32. The lesson progresses to solving various linear equations, identifying patterns, and plotting solutions on a coordinate plane. A real-world problem involving buying candy and drinks is also explored, emphasizing the application of linear equations in everyday scenarios.

What is the maximum number of two-point baskets Emily can score to reach 32 points?

• 15

• 18

• 16

• 17

If Emily scores 13 two-point baskets, how many three-point baskets does she need to reach 32 points?

• 4

• 3

• 2

• 1

What is the equation that represents the total points scored by Emily using two and three-point baskets?

• x + y = 32

• 3x + 2y = 32

• 2x + y = 32

• 2x + 3y = 32

What is the first solution for the equation X + Y = 3 when X is 0?

• Y = 1

• Y = 3

• Y = 2

• Y = 0

If X is 2 in the equation X + Y = 3, what is the value of Y?

• 3

• 2

• 1

• 0

What is the value of X when Y is 0 in the equation X + 5Y = 21?

• 21

• 16

• 6

• 11

If Y is 3 in the equation X + 5Y = 21, what is the value of X?

• 11

• 21

• 16

• 6

How many drinks can you buy if you spend all $35 on drinks costing $1 each?

• 40

• 45

• 35

• 30

If you buy 3 bags of candy at $2 each, how many drinks can you buy with the remaining money?

• 32

• 31

• 30

• 29

What is the maximum number of candy bags you can buy with $35 if each bag costs $2?

• 16

• 17

• 18

• 19