# Lesson Worksheet: The Coordinate Plane: Four Quadrants Mathematics • 6th Grade

In this worksheet, we will practice finding the x- and y-coordinates of a point in any of the four quadrants and locating a point given its coordinates.

**Q3: **

If Jennifer’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.

- A3 blocks west and 2 blocks north
- B11 blocks west and 2 blocks north
- C11 blocks east and 2 blocks south
- D2 blocks east and 11 blocks south
- E3 blocks east and 12 blocks south

**Q4: **

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

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

**Q6: **

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

**Q7: **

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

**Q8: **

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

**Q9: **

Which axis does the point lie on?

- A
- B

**Q10: **

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

- Anegative
- BThe -coordinate is zero.
- Cpositive

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

- Apositive
- BThe -coordinate is zero.
- Cnegative

**Q11: **

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

- ABoth are correct.
- BB
- CA

**Q12: **

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?

- AThe -coordinate is zero.
- Bpositive
- Cnegative

**Q13: **

Victoria 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 () | 1 | 2 | 3 | 4 |
---|---|---|---|---|

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

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

**Q14: **

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

**Q15: **

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

**Q16: **

What are the signs of the - and -coordinates of any point belonging to the quadrant shaded in the figure below?

- A-coordinate: negative; -coordinate: positive
- B-coordinate: positive; -coordinate: positive
- C-coordinate: positive; -coordinate: negative
- D-coordinate: negative; -coordinate: negative

**Q17: **

True or False: There are 3 quadrants in the coordinate plane.

- AFalse
- BTrue

**Q18: **

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?

- AThe -coordinate is zero.
- Bnegative
- Cpositive

**Q19: **

True or False: If point and point have the same -coordinate, then they always lie in the same quadrant of the coordinate plane.

- ATrue
- BFalse

**Q20: **

What are the signs of the - and -coordinates of any point belonging to the quadrant shaded in the figure below?

- A-coordinate: positive, -coordinate: negative
- B-coordinate: negative, -coordinate: positive
- C-coordinate: negative, -coordinate: negative
- D-coordinate: positive, -coordinate: positive

**Q21: **

What are the signs of the - and -coordinates of any point belonging to the quadrant shaded in the figure below?

- A-coordinate: positive; -coordinate: negative
- B-coordinate: negative; -coordinate: negative
- C-coordinate: negative; -coordinate: positive
- D-coordinate: positive; -coordinate: positive

**Q22: **

In which two quadrants are the points whose and coordinates have opposite signs?

- AI and II
- BII and III
- CIII and IV
- DI and IV
- EII and IV

**Q23: **

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

- Apositive
- BThe -coordinate is zero.
- Cnegative

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

- AThe -coordinate is zero.
- Bpositive
- Cnegative

**Q24: **

In which two quadrants are the points whose and coordinates have the same sign?

- AI and IV
- BII and IV
- CII and III
- DI and III
- EIII and IV

**Q25: **

- A-coordinate: negative, -coordinate: negative
- B-coordinate: positive, -coordinate: negative
- C-coordinate: positive, -coordinate: positive
- D-coordinate: negative, -coordinate: positive