Lesson 14: Practice Problems

Problem 1

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 $P$ .
Plot a point that is 2 units from point $M$ . Label it $W$ .

Problem 2

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

A = $(3, 5)$ and B = $(3, 6)$
C = $(- 2, - 3)$ and D = $(- 2, - 6)$
E = $(- 3, 1)$ and F = $(- 3, - 1)$

Problem 3

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

A coordinate plane with the origin labeled "O." The x-axis has the numbers negative 7 through 7 indicated. The y-axis has the numbers negative 5 through 5 indicated.

Problem 4 From Unit 6 Lesson 16

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, $t$ , that he needs to prepare. Write an equation that shows how Noah can find $s$ , the number of liters of soda water, if he knows $t$ .
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 $j$ .

Problem 5 From Unit 3 Lesson 4

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)