Algebra 1 : Functions and Lines

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #1 : How To Graph An Ordered Pair

The points  and  are plotted on a quadrant. Which graph depicts the correct points?

Possible Answers:

Question_4_incorrect_3

Question_4_incorrect_1

Question_4_correct

Question_4_incorrect_2

Correct answer:

Question_4_correct

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.

will be units to the right, and units up.

will be units to the left, and units up.

Example Question #1 : How To Graph An Ordered Pair

Which of the followiing quadrants would contain the point  ?

Possible Answers:

None of the other answers is correct.

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Correct answer:

None of the other answers is correct.

Explanation:

 has 0 as its -cordinate and is therefore on the -axis, which is not part of any of the four quadrants.

Example Question #3 : How To Graph An Ordered Pair

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

Possible Answers:

None of the points listed would be in Quadrant III.

Correct answer:

Explanation:

Quadrant III comprises the points whose - and - coordinates are both negative. This makes  the correct choice.

Example Question #3 : How To Graph An Ordered Pair

Which of the following quadrants would contain the point  ?

Possible Answers:

Quadrant IV

Quadrant III

Quadrant II

None of the other answers is correct.

Quadrant I

Correct answer:

None of the other answers is correct.

Explanation:

 has 0 as its -coordinate and is therefore on the -axis, which is not part of any of the four quadrants.

Example Question #1 : How To Graph An Ordered Pair

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

Possible Answers:

Correct answer:

Explanation:

The third quadrant is the lower left quadrant, where both the  and  values are negative.  The point  is the only point that is in this quadrant.

Example Question #1 : How To Graph An Ordered Pair

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

Possible Answers:

Two of these points are in Quadrant IV.

Correct answer:

Explanation:

Quadrant IV consists of the points with positive -coordinates and negative -coordinates. Therefore is the correct choice.

Example Question #5 : Graphing

Picture2

Find the point that corresponds to the following ordered pair:

Possible Answers:

Correct answer:

Explanation:

In order to get to the point , start at the origin and move right  units and down  units.

This is point .

Example Question #8 : How To Graph An Ordered Pair

Picture1

Find the point that corresponds to the following ordered pair:

 

Possible Answers:

Correct answer:

Explanation:

In order to get to the point , start at the origin and move right  unit and up  units.

This is point .

Example Question #9 : How To Graph An Ordered Pair

Picture3

Find the point that corresponds to the following ordered pair:

 

Possible Answers:

Correct answer:

Explanation:

In order to get to the point , start at the origin and move left  unit and down  unit.

This is point .

Example Question #10 : How To Graph An Ordered Pair

Picture4

Find the point that corresponds to the following ordered pair:

Possible Answers:

Correct answer:

Explanation:

In order to get to the point , start at the origin and move right  units and up  units.

This is point .

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