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Bball System of Linear

HS: High School

Created on May 10, 2023

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Transcript

Free Throws & Field Goals

Play

Your basketball team is on the verge of breaking a school record for points scored in a single season. Your team needs only 61 more points this season. Coach just found out that your only 3-point shooter is out for the rest of the season due to a... failing Algebra grade.

Next

In order to prepare to play without your shooter, Coach sets up a scrimmage.

Listen up! The scrimmage will end when you score 61 points. No 3-pointers. I want to see free throws and 2-point field goals! Oh! And since problem-solving skills are so important, you can only make 38 baskets.

Play

We need 61 points, guys. We can only shoot free throws and 2-point field goals. We can only make baskets. How many of each do we need?

Try using math! Not understanding Algebra got us into this situation to begin with!

Next

We have two totals: 61 points and 38 baskets

Let x represent the number of free throws.

Let y represent number of 2-pointers

Start

Write equation 1

Write equation 2

1 point per x free throws 2 points per y field goals For a total of 61 points
x frees throws y fields goals For a total of 38 baskets

Respond in edio!

Respond in edio!

Next

Solve the system of equations x + 2y = 61 x + y = 38Explain what the solution means for your basketball team's scrimmage.

Show work in edio!

Next

Good practice!