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Algebra 1 : Functions and Lines

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Example Questions

Example Question #1 : Functions And Lines

The points (3,4) $\displaystyle (3,4)$ and (-2,5) $\displaystyle (-2,5)$ are plotted on a quadrant. Which graph depicts the correct points?

Possible Answers:

Correct answer:

Explanation:

A quadrant is set up in such a way that the positive numbers are to the right and top, while the negative numbers are to the left and bottom. The x-value (the first number in the ordered pair) is the distance left or right from the center. The y-value (the second number in the ordered pair) is the distance above or below the axis.

(3,4) $\displaystyle (3,4)$ will be $\displaystyle 3$ units to the right, and $\displaystyle 4$ units up.

(-2,5) $\displaystyle (-2,5)$ will be $\displaystyle 2$ units to the left, and $\displaystyle 5$ units up.

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Example Question #1 : How To Graph An Ordered Pair

Which of the followiing quadrants would contain the point (0,5) $\displaystyle (0,5)$ ?

Possible Answers:

None of the other answers is correct.

Quadrant I

Quadrant IV

Quadrant III

Quadrant II

Correct answer:

None of the other answers is correct.

Explanation:

(0,5) $\displaystyle (0,5)$ has 0 as its $\displaystyle x$ -cordinate and is therefore on the $\displaystyle y$ -axis, which is not part of any of the four quadrants.

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Example Question #2 : How To Graph An Ordered Pair

Which of the following points would be in Quadrant III on the coordinate plane?

Possible Answers:

(5,3) $\displaystyle (5,3)$

(5,-3) $\displaystyle (5,-3)$

None of the points listed would be in Quadrant III.

(-5,3) $\displaystyle (-5,3)$

(-5,-3) $\displaystyle (-5,-3)$

Correct answer:

(-5,-3) $\displaystyle (-5,-3)$

Explanation:

Quadrant III comprises the points whose $\displaystyle x$ - and $\displaystyle y$ - coordinates are both negative. This makes (-5,-3) $\displaystyle (-5,-3)$ the correct choice.

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Example Question #3 : How To Graph An Ordered Pair

Which of the following quadrants would contain the point (6,0) $\displaystyle (6,0)$ ?

Possible Answers:

None of the other answers is correct.

Quadrant III

Quadrant IV

Quadrant II

Quadrant I

Correct answer:

None of the other answers is correct.

Explanation:

(6,0) $\displaystyle (6,0)$ has 0 as its $\displaystyle y$ -coordinate and is therefore on the $\displaystyle x$ -axis, which is not part of any of the four quadrants.

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Example Question #2 : Functions And Lines

Which of the following ordered pairs is in the third quadrant?

Possible Answers:

$\left ( -5,-8 \right )$ $\displaystyle \left ( -5,-8 \right )$

$\left ( -1,3 \right )$ $\displaystyle \left ( -1,3 \right )$

$\left ( 4,3 \right )$ $\displaystyle \left ( 4,3 \right )$

$\left ( 5,8 \right )$ $\displaystyle \left ( 5,8 \right )$

$\left ( 2,-3 \right )$ $\displaystyle \left ( 2,-3 \right )$

Correct answer:

$\left ( -5,-8 \right )$ $\displaystyle \left ( -5,-8 \right )$

Explanation:

The third quadrant is the lower left quadrant, where both the $\displaystyle x$ and $\displaystyle y$ values are negative. The point $\left ( -5,-8\right )$ $\displaystyle \left ( -5,-8\right )$ is the only point that is in this quadrant.

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Example Question #1 : Points, Lines, And Rays

Which of the following points is in Quadrant IV on the coordinate plane?

Possible Answers:

Two of these points are in Quadrant IV.

(-4,7) $\displaystyle (-4,7)$

(4,7) $\displaystyle (4,7)$

(4,-7) $\displaystyle (4,-7)$

(-4,-7) $\displaystyle (-4,-7)$

Correct answer:

(4,-7) $\displaystyle (4,-7)$

Explanation:

Quadrant IV consists of the points with positive $\displaystyle x$ -coordinates and negative $\displaystyle y$ -coordinates. Therefore (4,-7) $\displaystyle (4,-7)$ is the correct choice.

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Example Question #2 : How To Graph An Ordered Pair

Find the point that corresponds to the following ordered pair:

(4, -2) $\displaystyle (4, -2)$

Possible Answers:

$\displaystyle D$

$\displaystyle B$

$\displaystyle A$

$\displaystyle C$

Correct answer:

$\displaystyle B$

Explanation:

In order to get to the point (4, -2) $\displaystyle (4, -2)$ , start at the origin and move right $\displaystyle 4$ units and down $\displaystyle 2$ units.

This is point $\displaystyle B$ .

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Example Question #3 : How To Graph An Ordered Pair

Find the point that corresponds to the following ordered pair:

(1, 2) $\displaystyle (1, 2)$

Possible Answers:

$\displaystyle C$

$\displaystyle A$

$\displaystyle B$

$\displaystyle D$

Correct answer:

$\displaystyle A$

Explanation:

In order to get to the point (1, 2) $\displaystyle (1, 2)$ , start at the origin and move right $\displaystyle 1$ unit and up $\displaystyle 2$ units.

This is point $\displaystyle A$ .

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Example Question #1 : Functions And Lines

Find the point that corresponds to the following ordered pair:

$\displaystyle (-1, -1)$

Possible Answers:

$\displaystyle C$

$\displaystyle A$

$\displaystyle D$

$\displaystyle B$

Correct answer:

$\displaystyle A$

Explanation:

In order to get to the point $\displaystyle (-1, -1)$ , start at the origin and move left $\displaystyle 1$ unit and down $\displaystyle 1$ unit.

This is point $\displaystyle A$ .

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Example Question #5 : How To Graph An Ordered Pair

Find the point that corresponds to the following ordered pair:

(7,2) $\displaystyle (7,2)$

Possible Answers:

$\displaystyle C$

$\displaystyle A$

$\displaystyle B$

$\displaystyle D$

Correct answer:

$\displaystyle C$

Explanation:

In order to get to the point (7, 2) $\displaystyle (7, 2)$ , start at the origin and move right $\displaystyle 7$ units and up $\displaystyle 2$ units.

This is point $\displaystyle C$ .

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Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #1 : Functions And Lines

Example Question #1 : How To Graph An Ordered Pair

Example Question #2 : How To Graph An Ordered Pair

Example Question #3 : How To Graph An Ordered Pair

Example Question #2 : Functions And Lines

Example Question #1 : Points, Lines, And Rays

Example Question #2 : How To Graph An Ordered Pair

Example Question #3 : How To Graph An Ordered Pair

Example Question #1 : Functions And Lines

Example Question #5 : How To Graph An Ordered Pair

All Algebra 1 Resources

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