Testinar Grade 6 math

The Coordinate Plane

Students will build Grade 6 mastery of the coordinate plane using models, equations, and test-style reasoning.

CH02-09 The Number System

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

In which quadrant is the point \((-3,4)\) located?
1. Quadrant I
2. Quadrant II
3. Quadrant III
4. Quadrant IV
Which ordered pair is located in Quadrant III?
1. \((2, 5)\)
2. \((-1, 3)\)
3. \((-4, -2)\)
4. \((3, -6)\)
What are the coordinates of a point on the positive \(x\)-axis?
1. \((0, 5)\)
2. \((0, -2)\)
3. \((-3, 0)\)
4. \((4, 0)\)
The point \((5, -3)\) is located in which quadrant?
1. Quadrant I
2. Quadrant II
3. Quadrant III
4. Quadrant IV
If a point is reflected across the \(y\)-axis, which coordinate changes?
1. Only the \(x\)-coordinate
2. Only the \(y\)-coordinate
3. Both coordinates
4. Neither coordinate
What is the reflection of the point \((2, 6)\) across the \(x\)-axis?
1. \((-2, 6)\)
2. \((2, -6)\)
3. \((-2, -6)\)
4. \((6, 2)\)
Which point is in Quadrant II?
1. \((3, 2)\)
2. \((-2, 4)\)
3. \((-3, -1)\)
4. \((2, -3)\)
Which ordered pair is in Quadrant I?
1. \((-5, 7)\)
2. \((1, -8)\)
3. \((-2, -4)\)
4. \((8, 3)\)

Teacher and parent reference

Answer key and explanations

B. Quadrant II
The point \((-3,4)\) has a negative \(x\)-coordinate and a positive \(y\)-coordinate. Points with \((-,+)\) are in Quadrant II.
C. \((-4, -2)\)
Quadrant III contains points where both coordinates are negative. The point \((-4, -2)\) has negative \(x\) and negative \(y\), so it is in Quadrant III.
D. \((4, 0)\)
Points on the \(x\)-axis have a \(y\)-coordinate of \(0\). For a point to be on the positive \(x\)-axis, the \(x\)-coordinate must be positive. The point \((4, 0)\) satisfies both conditions.
D. Quadrant IV
The point \((5, -3)\) has a positive \(x\)-coordinate and a negative \(y\)-coordinate. Points with \((+,-)\) are located in Quadrant IV.
A. Only the \(x\)-coordinate
When reflecting across the \(y\)-axis, the point flips left to right. This changes the sign of the \(x\)-coordinate while the \(y\)-coordinate stays the same.
B. \((2, -6)\)
Reflection across the \(x\)-axis changes the sign of the \(y\)-coordinate while the \(x\)-coordinate remains the same. The point \((2, 6)\) becomes \((2, -6)\).
B. \((-2, 4)\)
From the graph, the point in Quadrant II (upper left) is \((-2, 4)\), which has a negative \(x\)-coordinate and positive \(y\)-coordinate.
D. \((8, 3)\)
Quadrant I contains points with positive \(x\) and positive \(y\) coordinates. The point \((8, 3)\) has both coordinates positive.