Solving Equations and Word Problems

This lesson continues from the previous module, focusing on solving a problem involving scoring 32 points using 2 and 3-point baskets. The teacher guides students through forming an equation, finding solutions, and graphing them. Alternative methods for solving equations are explored, and a practical application involving buying candy and drinks is discussed.

How many 2-point baskets did Emily score if she made 16 of them?

• 16

• 0

• 8

• 32

What is the equation representing the total score using X for 2-pointers and Y for 3-pointers?

• 2X + Y = 32

• 3X + 2Y = 32

• X + Y = 32

• 2X + 3Y = 32

If X is 1, what is the value of Y in the equation 1 + Y = 3?

• 3

• 2

• 0

• 1

What is the value of Y when X is 2 in the equation 2X - Y = 10?

• 6

• 8

• 2

• 4

In the equation X + 5Y = 21, what is X when Y is 1?

• 16

• 11

• 6

• 1

Which value of X makes the equation 2/5X + Y = 11 easier to solve?

• 5

• 20

• 10

• 15

What is the equation for buying candy and drinks with a budget of $35?

• X + Y = 35

• 2X + 3Y = 35

• X + 2Y = 35

• 2X + Y = 35

If you buy 4 bags of candy, how many drinks can you buy with $35?

• 19

• 27

• 25

• 15

What is the value of Y when X is 10 in the equation 2X + Y = 35?

• 25

• 15

• 5

• 10

How many bags of candy can you buy if you spend all $35 on them?

• 15

• 16

• 18

• 17