Exploring the Standard Form of Linear Equations

An equation where all variables are on one side and the constant is on the other.

An equation where variables and constants are mixed on both sides.

An equation that cannot be graphed.

An equation with only one variable.

x represents total points and y represents free throws.

x represents two-point baskets and y represents three-point baskets.

x represents free throws and y represents three-point baskets.

x represents three-point baskets and y represents two-point baskets.

2x + 3y = 27

2x - 3y = 27

3x + 2y = 27

x + y = 27

(0, 27)

(0, 9)

(9, 0)

(27, 0)

Because x must be less than 10.

Because 13.5 is not a whole number.

Because Cheryl cannot score 13.5 points.

Because y must be greater than 0.

(6, 5)

(7, 3)

(5, 6)

(3, 7)

3 two-point baskets and 7 three-point baskets

4 two-point baskets and 6 three-point baskets

5 two-point baskets and 5 three-point baskets

6 two-point baskets and 4 three-point baskets

8

9

10

7

10

11

12

13

Because the total points must be a whole number.

Because the equation requires whole numbers.

Because baskets cannot be made in fractions.

Because the graph only accepts whole numbers.