12 multiple-choice questions, progressively harder.
In the ordered pair (x,y)(x, y)(x,y), what does the first number tell you?
Solution
Correct answer: C
An ordered pair is written across first, then up.
(x,y): x=across, y=up or down.(x, y): \;\; x = \text{across}, \;\; y = \text{up or down}.(x,y):x=across,y=up or down.
The first number is the x-coordinate, which tells you how far left or right to move along the x-axis.
To plot the point (4,3)(4, 3)(4,3), how do you move from the origin?
Correct answer: B
Read the pair across first, then up. Here x=4x = 4x=4 and y=3y = 3y=3, both positive.
(4,3): 4 right, then 3 up.(4, 3): \;\; 4 \text{ right, then } 3 \text{ up}.(4,3):4 right, then 3 up.
What are the coordinates of point PPP shown on the grid?
Correct answer: D
Drop straight down from PPP to the x-axis to read the first coordinate, then slide across to the y-axis for the second.
PPP lines up with 333 on the x-axis and 222 on the y-axis.
P=(3,2).P = (3, 2).P=(3,2).
To plot (−2,5)(-2, 5)(−2,5), which direction is the first move?
The first number is the x-coordinate, and a negative x-coordinate means move left.
x=−2 ⇒ 2 units left.x = -2 \;\Rightarrow\; 2 \text{ units left}.x=−2⇒2 units left.
The first move is 222 units to the left.
In which quadrant is the point (2,5)(2, 5)(2,5)?
Both coordinates are positive, so the point is right of the y-axis and above the x-axis.
(+,+) ⇒ Quadrant I.(+, +) \;\Rightarrow\; \text{Quadrant I}.(+,+)⇒Quadrant I.
Which axis runs vertically (up and down)?
Correct answer: A
The y-axis is the vertical number line.
y-axis=vertical (up–down).y\text{-axis} = \text{vertical (up--down)}.y-axis=vertical (up–down).
So the y-axis runs vertically.
Points (2,4)(2, 4)(2,4) and (7,4)(7, 4)(7,4) lie on the same horizontal line. How far apart are they?
The two points share the y-coordinate 444, so the segment between them is horizontal and the distance is the gap in the x-coordinates.
∣7−2∣=5.|7 - 2| = 5.∣7−2∣=5.
They are 555 units apart.
To plot (3,−4)(3, -4)(3,−4), what is the second move (after going across)?
The second number is the y-coordinate, and a negative y-coordinate means move down.
y=−4 ⇒ 4 units down.y = -4 \;\Rightarrow\; 4 \text{ units down}.y=−4⇒4 units down.
So after moving 333 right, you move 444 down.
The point (0,6)(0, 6)(0,6) lies on which axis?
The x-coordinate is 000, so there is no left-right movement and the point stays on the vertical axis.
x=0 ⇒ on the y-axis.x = 0 \;\Rightarrow\; \text{on the y-axis}.x=0⇒on the y-axis.
In which quadrant is the point (6,−2)(6, -2)(6,−2)?
The x-coordinate is positive and the y-coordinate is negative, so the point is right of the y-axis and below the x-axis.
(+,−) ⇒ Quadrant IV.(+, -) \;\Rightarrow\; \text{Quadrant IV}.(+,−)⇒Quadrant IV.
Which point lies to the left of the y-axis?
A point is left of the y-axis when its x-coordinate is negative.
(−2,4): x=−2<0.(-2, 4): \; x = -2 < 0.(−2,4):x=−2<0.
Only (−2,4)(-2, 4)(−2,4) has a negative x-coordinate, so it is the one to the left of the y-axis.
Starting at the origin, you move 555 units right and then 222 units down. Where do you land?
Right means a positive x-coordinate; down means a negative y-coordinate. Write across first, then up or down.
5 right, 2 down ⇒ (5,−2).5 \text{ right}, \; 2 \text{ down} \;\Rightarrow\; (5, -2).5 right,2 down⇒(5,−2).
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