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Worksheet: Quadrants of the Coordinate Plane

Q1:

Which of the points below is inside the circle?

  • A ( 8 , 5 )
  • B ( 7 , 9 )
  • C ( 5 , 1 )
  • D ( 7 , 6 )
  • E ( 2 , 9 )

Q2:

Which of the points below is inside the circle?

  • A ( 5 , 6 )
  • B ( 4 , 6 )
  • C ( 1 , 6 )
  • D ( 6 , 4 )
  • E ( 7 , 3 )

Q3:

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 (h) 1 2 3 4
Earnings ($) 10.50 21 31.50 42
  • A ( 1 , 2 ) ( 3 , 4 ) ( 1 0 . 5 , 2 1 ) ( 3 1 . 5 , 4 2 ) , , ,
  • B ( 1 0 . 5 , 1 ) ( 2 1 , 2 ) ( 3 1 . 5 , 3 ) ( 4 2 , 4 ) , , ,
  • C ( 2 , 1 ) ( 4 , 3 ) ( 2 1 , 1 0 . 5 ) ( 4 2 , 3 1 . 5 ) , , ,
  • D ( 1 , 1 0 . 5 ) ( 2 , 2 1 ) ( 3 , 3 1 . 5 ) ( 4 , 4 2 ) , , ,
  • E ( 1 , 1 0 ) ( 2 , 2 1 ) ( 3 , 3 1 ) ( 4 , 4 2 ) , , ,

Q4:

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

  • A ( 1 , 0 )
  • B ( 0 , 1 )
  • C ( 1 , 1 )
  • D ( 0 , 0 )
  • E ( 1 , 1 )

Q5:

Which axis does the point ( 0 , 1 2 ) lie on?

  • A 𝑦
  • B 𝑥

Q6:

A teacher plotted these points on the graph. Determine the 𝑦 -coordinate of the point whose 𝑥 -coordinate is 3 .

Q7:

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

  • AThe 𝑥 -coordinate is zero.
  • Bnegative
  • Cpositive

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

  • Apositive
  • BThe 𝑦 -coordinate is zero.
  • Cnegative

Q8:

What are the coordinates of the point 𝐴 ?

  • A ( 3 , 8 )
  • B 2 , 3 4
  • C ( 8 , 3 )
  • D 3 4 , 2
  • E 1 1 2 , 4

Q9:

What are the coordinates of the point 𝐴 ?

  • A ( 6 , 4 )
  • B 1 , 1 1 2
  • C ( 4 , 6 )
  • D 1 1 2 , 1
  • E ( 3 , 2 )

Q10:

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 𝐴 ?

  • 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.

Q11:

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

  • ABoth are correct.
  • BA
  • CB

Q12:

What is the 𝑦 -coordinate of point 𝐵 ?

Q13:

If you know that point 𝑋 is located at ( 5 , 0 ) on the graph, which of the shown points is 4 units from point 𝑋 ?

  • A 𝐴
  • B 𝐶
  • C 𝐵
  • D 𝐷

Q14:

What is the 𝑦 -coordinate of the blue point?

Q15:

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

  • AThe 𝑥 -coordinate is zero.
  • Bpositive
  • Cnegative

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

  • Anegative
  • BThe 𝑦 -coordinate is zero.
  • Cpositive

Q16:

What is the 𝑥 -coordinate of point 𝐴 ?

Q17:

Which point is ( 5 , 6 ) ?

  • A 𝐵
  • B 𝐴
  • C 𝐶
  • D 𝐹
  • E 𝐷

Q18:

Which point is ( 5 , 4 ) ?

  • A 𝐵
  • B 𝐴
  • C 𝐷
  • D 𝐶
  • E 𝐸

Q19:

Which point is ( 2 , 4 ) ?

  • A 𝐵
  • B 𝐴
  • C 𝐶
  • D 𝐹
  • E 𝐷

Q20:

If Charlotte’s workplace is located at point 𝑊 , her house is located at point 𝐻 , and the gymnasium she uses is at point 𝐺 . 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

Q21:

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

  • A8 blocks west and 3 blocks south
  • B3 blocks east and 8 blocks north
  • C11 blocks west and 4 blocks north
  • D3 blocks west and 8 blocks south
  • E11 blocks east and 8 blocks south

Q22:

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

  • A12 blocks east and 8 blocks north
  • B8 blocks west and 12 blocks south
  • C2 blocks east and 2 blocks north
  • D8 blocks east and 12 blocks north
  • E2 blocks west and 12 blocks south

Q23:

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

  • A ( 5 , 5 ) , fourth quadrant
  • B ( 0 , 5 ) , none
  • C ( 5 , 5 ) , first quadrant
  • D ( 5 , 0 ) , none
  • E ( 5 , 5 ) , second quadrant

Q24:

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

  • A ( 2 , 5 ) , first quadrant
  • B ( 0 , 8 ) , none
  • C ( 5 , 2 ) , second quadrant
  • D ( 5 , 2 ) , fourth quadrant
  • E ( 8 , 0 ) , none

Q25:

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

  • A ( 9 , 8 ) , first quadrant
  • B ( 8 , 9 ) , fourth quadrant
  • C ( 8 , 9 ) , second quadrant
  • D ( 0 , 3 ) , none
  • E ( 3 , 0 ) , none