IM 6.7.14 Practice: Distances on a Coordinate Plane

Here are 4 points on a coordinate plane. Label each point with its coordinates.

[list=1][*]Label each point with its coordinates.[/*][*]Plot a point that is 3 units from point [math]K[/math]. Label it [math]P[/math].[/*][*]Plot a point that is 2 units from point [math]M[/math]. Label it [math]W[/math].[/*][/list]

Each set of points are connected to form a line segment. What is the length of each?

A = [math]\left(3,5\right)[/math] and B = [math]\left(3,6\right)[/math]

C = [math]\left(-2,-3\right)[/math] and D = [math]\left(-2,-6\right)[/math]

E = [math]\left(-3,1\right)[/math] and F = [math]\left(-3,-1\right)[/math]

On the coordinate plane, plot four points that are each 3 units away from point P = (-2, -1). Write the coordinates of each point.

Noah’s recipe for sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water.

Noah prepares large batches of sparkling orange juice for school parties. He usually knows the total number of liters, [math]t[/math], that he needs to prepare. Write an equation that shows how Noah can find [math]s[/math], the number of liters of soda water, if he knows [math]t[/math].

Sometimes the school purchases a certain number, [math]j[/math], of liters of orange juice and Noah needs to figure out how much sparkling orange juice he can make. Write an equation that Noah can use to find [math]t[/math] if he knows [math]j[/math].

For a suitcase to be checked on a flight (instead of carried by hand), it can weigh at most 50 pounds. Andre’s suitcase weighs 23 kilograms.

Can Andre check his suitcase? Explain or show your reasoning. (Note: 10 kilograms [math]\approx[/math] 22 pounds)