Pre-Algebra Practice Test: Coordinate Plane
- Coordinate Plane
- 10 questions
- 12 minutes
This test covers ordered pairs, quadrants, translations and reflections, horizontal distance and points on a line. Tip: in (x, y), x tells how far to move left or right and y tells how far to move up or down.
Tap an option to mark your answer. You can change your mind, or tap the same option again to leave the question blank. The correct answers and explanations appear when you finish the test.Tap an option to answer; tap it again to leave the question blank.
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Question 1
In which quadrant is the point (−4, 3)?
Correct answer: C
A negative x and a positive y place the point left of the y-axis and above the x-axis, which is Quadrant II.
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Question 2
Where is the point (0, −5) located?
Correct answer: A
An x-coordinate of 0 means no movement left or right, so the point lies on the y-axis, 5 units below the origin.
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Question 3
A point starts at (2, −1). It moves 5 units left and 3 units up. Where does it end?
Correct answer: D
Left changes x: 2 − 5 = −3. Up changes y: −1 + 3 = 2. The answer (7, 2) moves right instead of left.
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Question 4
What is the distance between (−3, 4) and (5, 4)?
Correct answer: B
The y-coordinates match, so the distance is the difference of the x-coordinates: 5 − (−3) = 8. Computing 5 − 3 gives 2.
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Question 5
The point (6, −2) is reflected across the x-axis. What are the coordinates of the image?
Correct answer: A
A reflection across the x-axis keeps x and changes the sign of y. The answer (−6, −2) is a reflection across the y-axis.
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Question 6
A rectangle has vertices (1, 1), (1, 5), (7, 5) and (7, 1). What is its area?
Correct answer: C
The width is 7 − 1 = 6 and the height is 5 − 1 = 4, so the area is 6 × 4 = 24. The value 20 is the perimeter.
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Question 7
Which point lies on the line y = 2x − 1?
Correct answer: B
Substitute x = 3: 2(3) − 1 = 5, which matches y = 5. For (0, 1), the line gives y = −1.
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Question 8
What are the coordinates of point P?
Correct answer: D
P is 3 units left of the origin (x = −3) and 2 units up (y = 2). Writing (2, −3) swaps the order; x always comes first.
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Question 9
What is the distance from the origin (0, 0) to the point (6, 8)?
Correct answer: A
Use the Pythagorean theorem: √(6² + 8²) = √100 = 10. Adding 6 + 8 = 14 measures a path along the grid, not the straight-line distance.
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Question 10
The point (a, b) is in Quadrant III. In which quadrant is the point (−a, b)?
Correct answer: C
In Quadrant III, a and b are both negative. Then −a is positive and b is still negative, which is Quadrant IV.
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