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Unit 4 Test - Writing and Graphing Linear Functions

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Last updated over 3 years ago
24 questions
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Question 1
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.

Question 2
2.

Graph the function with the given domain.


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

Question 3
3.

Graph the function with the given domain.


Domain: {x: x < 1}

Question 4
4.

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

Question 5
5.

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

Question 6
6.

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

Question 7
7.

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

Question 8
8.

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

Question 9
9.

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

Question 10
10.

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

Question 11
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

Question 12
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).

Question 13
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)

Question 14
14.

Identify the slope of the given equation:

Question 15
15.

Identify the point of the given equation:

Question 16
16.

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

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

Question 17
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 = ?

Question 18
18.

Look at the equations below:

Choose all that apply:

Question 19
19.

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

Question 20
20.

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

1
2
Question 22
22.

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

2
Question 23
23.

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

2
Question 24
24.

Is #23 interpolation or extrapolation? Why?

Question 21
21.

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