Coordinate Plane, Functions, and Slope Checkpoint
A free Pre-Algebra lesson from the “Coordinate Plane, Functions, and Slope” unit, with a worked example and practice problems including step-by-step solutions.
This checkpoint mixes the coordinate plane, functions, and slope skills from the unit. It is intentionally cumulative: students identify the topic, choose a method, solve, and check that the answer makes sense before moving on. In Coordinate Plane, Functions, and Slope, the goal is not just to get an answer but to recognize the structure of the problem, choose a reliable strategy, and explain why the result is reasonable. The practice set now includes targeted skill work, transfer questions, and mixed review so students build fluency and retention.
What you'll learn
- Review the major skills from Coordinate Plane, Functions, and Slope
- Choose methods without topic labels
- Explain and check work across a mixed set
Worked example
Problem. What quadrant contains the point (-3, 5)?
- The x-coordinate is negative, so move left.
- The y-coordinate is positive, so move up.
- Left and up is Quadrant II.
- Connect the calculation back to Coordinate Plane Foundations so the method, not just the arithmetic, is clear.
Answer: Quadrant II
Practice problems
1. Coordinate Plane, Functions, and Slope Checkpoint review from Coordinate Plane Foundations: In the point (4, -2), what is the x-coordinate?
Show solution
- Warm-up: First identify exactly what the question is asking: In the point (4, -2), what is the x-coordinate?
- For signed numbers, track both distance from zero and direction so the sign of the answer makes sense.
- The x-coordinate is the first number.
- The first number is 4.
- Check the result by substituting or estimating: the response should match 4 and make sense in the original problem.
Answer: 4
2. Coordinate Plane, Functions, and Slope Checkpoint review from Coordinate Plane Foundations: In the point (-6, 3), what is the y-coordinate?
Show solution
- Warm-up: First identify exactly what the question is asking: In the point (-6, 3), what is the y-coordinate?
- For signed numbers, track both distance from zero and direction so the sign of the answer makes sense.
- The y-coordinate is the second number.
- The second number is 3.
- Check the result by substituting or estimating: the response should match 3 and make sense in the original problem.
Answer: 3
3. Coordinate Plane, Functions, and Slope Checkpoint review from Coordinate Plane Foundations: Which point is on the y-axis?
Choices: (0, 5) · (5, 0) · (3, 3) · (-2, 4)
Show solution
- Warm-up: First identify exactly what the question is asking: Which point is on the y-axis?
- Compare each answer choice with the calculation or rule, and eliminate choices that do not satisfy the condition.
- Points on the y-axis have x = 0.
- (0, 5) has x = 0.
- Verify the selected choice by checking that it satisfies the original prompt and that the other choices fail the same test.
Answer: (0, 5)
4. Coordinate Plane, Functions, and Slope Checkpoint review from Coordinate Plane Foundations: Which quadrant contains (2, 7)?
Choices: Quadrant I · Quadrant II · Quadrant III · Quadrant IV
Show solution
- Core Practice: First identify exactly what the question is asking: Which quadrant contains (2, 7)?
- Compare each answer choice with the calculation or rule, and eliminate choices that do not satisfy the condition.
- Both coordinates are positive.
- Positive x and positive y is Quadrant I.
- Verify the selected choice by checking that it satisfies the original prompt and that the other choices fail the same test.
Answer: Quadrant I
5. Coordinate Plane, Functions, and Slope Checkpoint review from Coordinate Plane Foundations: Which quadrant contains (-5, -1)?
Choices: Quadrant I · Quadrant II · Quadrant III · Quadrant IV
Show solution
- Core Practice: First identify exactly what the question is asking: Which quadrant contains (-5, -1)?
- For signed numbers, track both distance from zero and direction so the sign of the answer makes sense.
- Both coordinates are negative.
- Negative x and negative y is Quadrant III.
- Verify the selected choice by checking that it satisfies the original prompt and that the other choices fail the same test.
Answer: Quadrant III
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