Unit 4 Test - Writing and Graphing Linear Functions

By Chris Long
Last updated over 2 years ago
24 Questions
1.

By submitting this assessment, I am affirming that I have not given or received any unauthorized help on this assignment, and that this work is my own.

2.

Graph the function with the given domain.


Domain: {-2, -1, 0, 1}

3.

Graph the function with the given domain.


Domain: {x: x < 1}

4.

Write the equation for a horizontal line that goes through the point (2,3)

5.

Write the equation for a vertical line that goes through the point (2,3)

6.

Show your work!
Identify the x-intercept of 2x + 3y = 6 as an ordered pair.

7.

Show your work!
Identify the y-intercept of 2x + 3y = 6 as an ordered pair.

8.

Sketch the line given by 2x + 3y = 6.

9.

Show your work!
Rewrite the equation in slope-intercept form.

10.

Write an equation in slope-intercept form of the line shown.

11.

Show your work!
Write an equation in slope-intercept form for the linear function f with the given values:

f(2) = -2, f(5) = 7

12.

You are taking Tae Kwon Do classes that costs $15 a month. In addition to the classes, you need to purchase a uniform. You paid a total of $108 for the uniform and 6 months of classes.

Write an equation that gives the total cost, y (in dollars) as a function of the length of time you have been taking classes, x (in months).

13.

Show your work!
Write an equation in point-slope form of the line that passes through the given points:

(2, -2) and (5, 7)

14.

Identify the slope of the given equation:

15.

Identify the point of the given equation:

16.

Show your work!
Write an equation in standard form that passes through the given points.

(2, 9) and (4, -1)

17.

Show your work!
Find the value of k so that the three points lie on the same line.

(1, -2), (-2, 4), (4, k)

k = ?

18.

Look at the equations below:

Choose all that apply:

19.

Show your work!
Write the equation of the line (any form!) parallel to y = 2x - 6 that goes through the point (4, -9).

20.

Show your work!
Write the equation of the line (any form!) perpendicular to y = 2x - 6 that goes through the point (4, -9).

21.

Describe the correlation of the data based on your scatter plot.

22.

Perform a linear regression to find the equation of the best fitting line. Round to the hundredths place, if necessary.

23.

If a 100-gram serving of an avocado contains 161 kilocalories of energy, approximately how many carbohydrates does it contain?

24.

Is #23 interpolation or extrapolation? Why?