Basketball Scoring and Equations

In this lesson, Mr. Schenkel guides students through solving a problem involving scoring 32 points in a basketball game using only 2 and 3-point baskets. The lesson covers formulating equations in standard form, solving them, and exploring various linear equations, including those with fractional coefficients. The session concludes with a real-world application involving budgeting for snacks.

What is the main problem discussed in the introduction of the lesson?

• Solving quadratic equations

• Finding the area of a triangle

• Calculating the perimeter of a rectangle

• Scoring 32 points in a basketball game

How many two-point baskets are needed if no three-point baskets are made to score 32 points?

• 8

• 12

• 16

• 20

What is the equation used to represent the scoring combinations in the basketball problem?

• x - y = 32

• 3x + 2y = 32

• 2x + 3y = 32

• x + y = 32

If x represents two-point baskets and y represents three-point baskets, what is the ordered pair when x is 4?

• (4, 7)

• (4, 8)

• (4, 10)

• (4, 6)

What is the solution for y when x is 0 in the equation x + y = 3?

• y = 3

• y = 2

• y = 1

• y = 0

In the equation 2x - y = 10, what is y when x is 1?

• y = -8

• y = -10

• y = 8

• y = 10

What is the value of x when y is 0 in the equation x + 5y = 21?

• x = 26

• x = 21

• x = 16

• x = 11

How can you simplify the equation with a fractional coefficient like 2/5x + y = 11?

• Multiply by 5

• Divide by 2

• Add 2

• Subtract 5

In the real-world application, what is the cost of one bag of candy?

• $4

• $3

• $2

• $1

What is the equation used to represent the purchase of candy and drinks with a $35 budget?

• x + y = 35

• 2x + y = 35

• x + 2y = 35

• 3x + y = 35