Quiz about Grade 8: Lesson 7 - Understand Linear Functions

Question 1

The ordered pairs shown in the table represent a function. Which values for a and b would result in the function being linear?

Accepted Answer

$$a=1;\ b=20$$

Answer

$$a=-1;\ b=20$$

Answer

$$a=-1;\ b=22$$

Answer

$$a=1;\ b=22$$

Question 2

Which function has a graph that is a straight line?

Accepted Answer

$$y=3.5x-4.2$$

Answer

$$y=\frac{8}{x}+2$$

Answer

$$y=x^2-4$$

Answer

$$y=-2x\left(1-x\right)$$

Question 3

Which statement correctly describes the equation $$y=\frac{8}{x}-2$$

Accepted Answer

It is a nonlinear function

Answer

It is a linear function

Answer

Its graph is a straight line

Answer

It is not a function

Question 4

Which statement about the functions $$C=2\pi r$$ and $$A=\pi r^2$$ is correct?

Accepted Answer

Only $$C=2\pi r\ $$ is a linear function, because its graph is a line with a slope of $$2\pi$$

Answer

Both $$C=2\pi r\ and\ A=\pi r^2$$ are linear functions, because they both include the variable r.

Answer

Only $$\ A=\pi r^2$$ is a linear function, because its graph is a line with a slope of $$\pi$$

Answer

Neither $$C=2\pi r\ nor\ A=\pi r^2$$ is a linear function, because they both include the irrational number $$\pi$$

Question 5

Which statement about the function $$y=3$$ is true?

Accepted Answer

It is a linear function, and the graph is a horizontal line

Answer

It is a linear function, and the graph is a vertical line

Answer

It is a not a linear function, because it has a slope of zer

Answer

It is not a linear function, because there is only one variable.

Question 6

Which of these is a nonlinear function?

Accepted Answer

$$y=\frac{3}{x}+1$$

Answer

$$y=\frac{x-3}{2}$$

Answer

Answer

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