Basic
Data
Word Problems
100

A point on a coordinate plane is located 3 units to the right of the origin and 7 units above the origin. What are the coordinates of this point? Use the drop-down menus to enter the coordinates below.

The coordinates of the point are? 

(3,7) 

100

Each day Julian gives his dog, Banjo, 3 liters of water and 500 grams of food. Julian wants to track the total amount of the food and water he gives Banjo for one week. Julian plots a point at (3, 500) to represent the first day on a coordinate grid.
Then Julian uses a pattern to plot six more points.

Describe the pattern of the points that represent the total amount food and water Julian gives Banjo in one week:  each day the x-coordinate point increases by ________ and the y-coordinate point increases by________. 


3 and 500

100

Sydney is playing a game on a map with a marked grid. To start, she places a game piece at (1, 4). She moves 3 units east and 2 units north and places a second game piece at (4, 6). She continues placing game pieces so that each piece is 3 units east and 2 units north in relation to the previous piece.
What is the location of the third game piece she places?

  • (6, 8)

  • (6, 9)

  • (7, 8)

  • (8, 7)

#3

200

Three vertices of a triangle are located at A (4, 3), B (2, 1), and C (3, 4). Which shows the correct graph of the vertices? 


#1

200

Each day Julian gives his dog, Banjo, 3 liters of water and 500 grams of food. Julian wants to track the total amount of the food and water he gives Banjo for 1 week. Julian plots a point at (3, 500) to represent the first day on a coordinate grid.
Then Julian uses a pattern to plot 6 more points. What are the coordinates and significance of the fifth point Julian plots?


  • (12, 2,500); In 5 days, Julian gave Banjo a total of 12 liters of water and 2,500 grams of food.

  • (15, 2,500); In 5 days, Julian gave Banjo a total of 15 liters of water and 2,500 grams of food.

  • (15, 2,500); On the fifth day, Julian gave Banjo 15 liters of water and 2,500 grams of food.

  • (18, 3,000); In 5 days, Julian gave Banjo a total of 18 liters of water and 3,000 grams of food.

#2

200

A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of the second bus stop is determined using the same relationships as those between the coordinates of the bus station and the first bus stop. 

The __________ increases by 4 and the ________ increases by 2. 

x, y 

300

A bus company uses a grid to locate bus stops. The bus station is at (3, 4). The point (7, 6) represents the first bus stop. The location of each stop after that is determined using the same relationships as those between the coordinates of the bus station and the first bus stop.

Which point represents the fourth bus stop?

  • (11, 8)

  • (13, 12)

  • (15, 10)

  • (19, 12)

#4