Grade 6 | Unit 7 | Lesson 14: Distances on a Coordinate Plane | Practice Problems

Here are 4 points on a coordinate plane. Label each point with its coordinates. Plot a point that is 3 units from point \(K\). Label it \(P\).

• (0, 3)

• (3, 2)

• (2, -2)

• (-3, 3)

Tags

CCSS.6.NS.C.8

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

Tags

CCSS.5.G.A.2

Each set of points are connected to form a line segment. What is the length of each? A = \((3, 5)\) and B = \((3, 6)\).

• 1 unit

• 2 units

• 3 units

Tags

CCSS.6.G.A.3

C = \((-2, -3)\) and D = \((-2, -6)\). What is the length of the line segment?

• 1 unit

• 2 units

• 3 units

Tags

CCSS.6.G.A.3

E = \((-3, 1)\) and F = \((-3, -1)\). What is the length of the line segment?

• 1 unit

• 2 units

• 3 units

Tags

CCSS.6.NS.C.8

Noah’s recipe for sparkling orange juice uses 4 liters of orange juice and 5 liters of soda water. Write an equation that shows how Noah can find \(s\), the number of liters of soda water, if he knows \(t\).

Tags

CCSS.6.EE.C.9

Sometimes the school purchases a certain number, \(j\), 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 \(t\) if he knows \(j\).

Tags

CCSS.6.EE.C.9

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 \(\approx\) 22 pounds).

Tags

CCSS.5.MD.A.1