2023 Category 3

The table represents some points on the graph of a linear function. Which function represents this relationship?

A rectangle has a length of (5 + 2x) inches and a width of 10 inches. A triangle has a base of 30 inches and a height of (4x - 10) inches. The area in square inches of the rectangle is equal to the area in square inches of the triangle. What is the value of x?

• A. 25

• B. 3

• C. 7.5

• D. 5

A part of a linear function is shown on the grid. What is the range of the part of the linear function shown on the grid?

The range is the set of all real numbers ​ (a)   and​ (b)   .

• greater than -4
• less than or equal to 2
• greater than or equal to -4
• greater than or equal to -2
• greater than -2
• less than or equal to 3
• less than 2
• less than 3

​ (a)   x+ ​ (b)   ​ y ​ (c)   ​ ​ (d)  

• 7
• 17
• 10
• 100

Aline is graphed on a coordinate grid. Which statement about the line is true?

• The equation of the line is x = −4, and the slope is undefined.

• The equation of the line is y = −4, and the slope is equal to −4

• The equation of the line is x = −4, and the slope is equal to −4

• The equation of the line is y = −4, and the slope is undefined.

What is the solution to this system of equations?

• (2,7)

• (-2,3)

• (0,0)

• (-3,-3)

• w = 8

• w = 5

What linear function models the total cost, t, for a single order of cartridges?

What is the cost per click on Website 1?

• $1.85

• $5.38

• $2.20

• $2.70

Which equation best represents the slope-intercept form of the line that passes through point P and is parallel to line m?