Algebra Unit 2 Test Linear Relationship

A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat packing fee of $f and an amount based on the weight in pounds of the box, @2.25 per pound. Which equation represents the shipping cost as a function of x, weight in pounds?

• f(x) = 2.25x + 5

• f(x) = 5x + 2.25

• f)x = 2.25 - 5

• f(x) = 5x - 2.25

What is the slope of the line represented by the equation f(t) = 2t - 6?

• The slope is -6 and the y-intercept is 2

• The slope is 2 and the y-intercept is 6

• The slope is 6 and the y-intercept is 2

• The slope is 2 and the y-intercept is -6

Which equation represents a line that passes through (2, -1/2) and has a slope of 3?

• $y\ -\ 2\ =\ 3\left(x\ +\ \frac{1}{2}\right)$

• $y\ -\ 3\ =\ 2\left(x\ +\ \frac{1}{2}\right)$

• $y\ +\ \frac{1}{2}=\ 3\left(x\ -\ 2\right)$

• $y\ +\ \frac{1}{2}=\ 2\left(x\ -\ 3\right)$

Which equation represents the line that passes through (-6,7) and (-3, 6)?

• $y\ =\ -\frac{1}{3}x\ +\ 9$

• $y\ =\ -\frac{1}{3}x\ +\ 5$

• $y\ =\ -3x\ -\ 11y$

• $y\ =\ -3x\ +\ 25$

The point-slope form of the equation of the line that passes through (-9, -2) is y - 3 = 1/2(x - 1). What is the                   slope-intercept form of the equation. 

•  $y\ =\ \frac{1}{2}x\ +\ 2$  

•  $y\ =\ \frac{1}{2}x\ -4$  

•  $y\ =\ \frac{1}{2}x\ +\ \frac{5}{2}$  

•  $y\ =\ \frac{1}{2}x\ -\frac{7}{2}$  

Which equation represents the graphed function?

• $y\ =\ -3x\ +\ 2$

• $y\ =\ -\frac{2}{3}x\ +2$

• $y\ =\ \frac{3}{2}x\ -3$

• $y\ =\ 2x\ -\ 3$

The table shows the profit from a school book fair based on the number of books sold. What is the rate of change for the function represented in the table?

• $0.50 per book

• $0.67 per book

• $1.07 per book

• $1.50 per book

The table represents a linear function. What is the slope of the function?

• -3

• -2

• 3

• 4

Which if these values could be the slope of the line? Select two options

• $-2$

• $-\frac{8}{5}$

• $0$

• $\frac{7}{4}$

• $3$

A line contains points M(1, 3) and N(5, 0). What is the slope of the line?

• $-\frac{4}{3}$

• $-\frac{3}{4}$

• $\frac{3}{4}$

• $\frac{4}{3}$