Question 1

Which of the following best describes the area shaded in yellow in the first image?

Accepted Answer

It is exactly half the area of the square.

Question 2

In the second image, what fraction of the total area is shaded yellow?

Accepted Answer

$$\frac{1}{3}$$

Question 3

In the third image, the yellow region is bounded by two lines. If the square has side length $$s$$, which of the following expressions best represents the area of the yellow region?

Accepted Answer

Less than $$\frac{1}{2}s^2$ but more than $$\frac{1}{4}$$s^2$$

Question 4

Suppose the side length of each square in the images is 12 units. What is the area of the yellow region in the first image?

Accepted Answer

$$72$$ square units

Question 5

If the yellow region in the second image represents one part out of three equal parts, which mathematical operation was used to divide the square?

Accepted Answer

Division into three equal areas using vertical and horizontal lines

Question 6

In the third image, if the leftmost line is $$y = x$$ and the rightmost line is $$y = 2x - s$$, what is the equation of the boundary line that separates the yellow and black regions?

Accepted Answer

$$y = 2x - s$$

Question 7

If the area of the yellow region in the first image is $$A$$, what is the area of the black region?

Accepted Answer

$$A$$

Question 8

Which image best represents the solution set to the inequality $$y \u003c x$$ for all points $$(x, y)$$ inside the square?

Accepted Answer

First image

Question 9

If the side length of the square in the second image is $$s$$, what is the area of one of the smaller black squares?

Accepted Answer

$$\frac{1}{4}s^2$

Question 10

In the third image, if the yellow region is bounded by $$y = x$$ and $$y = 2x - s$$, and the square has side length $$s$$, which of the following best describes the shape of the yellow region?

Accepted Answer

A quadrilateral

Guidance for Graphing Linear Inequalities and Systems

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