Algebra, NAPX-H4-NC28

Question

Jen drew the line  y\ \large y = 5 − x−\ \large x on a grid.

She then drew  y\ \large y = x\large x − 1−\ 1 on the same grid.

What are the coordinates of the intersection point of these two lines?

Worked Solution

Strategy 1

Draw the graphs and estimate intersection.



Strategy 2

Intersection occurs when
x\large x −− 1 = 5−x5 - \large x
2x2\large x = 6
x\large x = 3
y\large y = 2

Variant 0

DifficultyLevel

707

Question

Jen drew the line  y\ \large y = 5 − x−\ \large x on a grid.

She then drew  y\ \large y = x\large x − 1−\ 1 on the same grid.

What are the coordinates of the intersection point of these two lines?

Worked Solution

Strategy 1

Draw the graphs and estimate intersection.



Strategy 2

Intersection occurs when
x\large x −− 1 = 5−x5 - \large x
2x2\large x = 6
x\large x = 3
y\large y = 2

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
correctAnswer
(3, 2)

Answers

Is Correct?Answer
x

(−2-2, 3)

x

(2, 3)

x

(3, −2-2)

✓

(3, 2)

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