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In this lesson, we will learn how to identify the quadrant and find the coordinates of points in the four quadrants.

Q1:

Which of the points below is inside the circle?

Q2:

What are the coordinates of the point 𝐴 ?

Q3:

If Sally’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.

Q4:

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

Q5:

Which point is ( − 5 , − 6 ) ?

Q6:

Determine the coordinates of the position of point in the given coordinate plane.

Q7:

Find the coordinates of 𝐴 and 𝐵 .

Q8:

Find the coordinates of point . Give your answer as coordinates.

Q9:

Find the coordinate pairs for points 𝐴 , 𝐵 , and 𝐶 .

Q10:

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 ?

Q11:

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

Q12:

Samar 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 ?

Q13:

What is the 𝑦 -coordinate of point 𝐵 ?

Q14:

What is the 𝑦 -coordinate of the blue point?

Q15:

What is the 𝑥 -coordinate of point 𝐴 ?

Q16:

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

Q17:

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

Q18:

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

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

Q19:

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

Q20:

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).

Q22:

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

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 𝑥 -axis, and cost on the 𝑦 -axis, write the ordered pair that represents buying 3 chocolate bars.

Q24:

If ( 𝑎 , 𝑏 ) = ( 1 , 2 ) , find the values of 𝑎 and 𝑏 .

Q25:

If the point ( 6 𝑎 , 5 𝑏 ) lies on the 𝑥 -axis, find the value of 𝑏 𝑎 , where 𝑎 ≠ 0 .

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