In this worksheet, we will practice identifying the quadrant and finding the coordinates of points in the four quadrants.

**Q2: **

What are the coordinates of the point ?

- A
- B
- C
- D
- E

**Q3: **

If Charlotte’s workplace is located at point , her house is located at point , and the gymnasium she uses is at point . Describe the number of blocks and the direction she needs to travel to get from the gymnasium to her house.

- A2 blocks east and 11 blocks south
- B11 blocks east and 2 blocks south
- C3 blocks east and 12 blocks south
- D11 blocks west and 2 blocks north
- E3 blocks west and 2 blocks north

**Q4: **

Express the coordinates that represent point , and then identify the quadrant it lies in.

- A , fourth quadrant
- B , none
- C , first quadrant
- D , none
- E , second quadrant

**Q5: **

Which point is ?

- A
- B
- C
- D
- E

**Q6: **

Determine the ordered pair which represents the position of point in the given coordinate plane.

- A
- B
- C
- D
- E

**Q7: **

Find the coordinates of and .

- A ,
- B ,
- C ,
- D ,

**Q8: **

Find the coordinates of point . Give your answer as an ordered pair.

- A5
- B
- C7
- D
- E

**Q9: **

Find the coordinate pairs for points , , and .

- A , ,
- B , ,
- C , ,
- D , ,
- E , ,

**Q10: **

If you know that point is located at on the graph, which of the shown points is 4 units from point ?

- A
- B
- C
- D

**Q11: **

A teacher plotted these points on the graph. Determine the -coordinate of the point whose -coordinate is .

**Q12: **

Chloe used this graph to show the number of points she scored in each of 7 rounds of a board game.

Which of the following statements represents the meaning of point ?

- AShe gained 3 points in the 3rd round.
- BShe lost 3 points in the 2nd round.
- CShe gained 3 points in the 2nd round.
- DShe lost 2 points in the 3rd round.
- EShe gained 2 points in the 3rd round.

**Q13: **

What is the -coordinate of point ?

**Q14: **

What is the -coordinate of the blue point?

**Q15: **

What is the -coordinate of point ?

**Q16: **

What are the coordinates of the intersection point of the - and -axes?

- A
- B
- C
- D
- E

**Q17: **

Which axis does the point lie on?

- A
- B

**Q18: **

What is the sign of the -coordinate of the point shown in the plane?

- AThe -coordinate is zero.
- Bnegative
- Cpositive

What is the sign of the -coordinate of the point shown in the plane?

- Apositive
- BThe -coordinate is zero.
- Cnegative

**Q19: **

In which of these coordinate planes are the axes labelled correctly?

- ABoth are correct.
- BA
- CB

**Q20: **

What is the sign of the -coordinate of the point shown in the plane?

- AThe -coordinate is zero.
- Bpositive
- Cnegative

What is the sign of the -coordinate of the point shown in the plane?

- Anegative
- BThe -coordinate is zero.
- Cpositive

**Q21: **

Yara makes $10.50 per hour as a waitress. She made a table to record her earnings in 4 different days. List this information as ordered pairs (time, earnings).

Time (h) | 1 | 2 | 3 | 4 |
---|---|---|---|---|

Earnings ($) | 10.50 | 21 | 31.50 | 42 |

- A
- B
- C
- D
- E

**Q22: **

The table shows how much fencing is required to surround square gardens of various side lengths. List this information as ordered pairs (side length, fencing).

Side Length (ft) | ||||
---|---|---|---|---|

Fencing (ft) | 30 | 31 |

- A
- B
- C
- D
- E

**Q23: **

The table shows the cost of buying chocolate bars at a local store. If this information is going to be plotted on a graph with the number of chocolate bars on the -axis, and cost on the -axis, write the ordered pair that represents buying 3 chocolate bars.

Number of Chocolate Bars | 1 | 2 | 3 | 4 |
---|---|---|---|---|

Cost | $3 | $6 | $9 | $12 |

- A
- B
- C
- D
- E

**Q24: **

If , find the values of and .

- A ,
- B ,
- C ,
- D ,

**Q25: **

If the point lies on the -axis, find the value of , where .