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Unit 4 Test Review

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Last updated over 3 years ago
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Question 1
1.

Find the x-intercept of the equation by graphing (using the Desmos calculator):
Write your answer as an ordered pair.
Show your work.

Question 2
2.

Find the y-intercept of the equation by graphing (using the Desmos calculator):
Write your answer as an ordered pair
Show your work.

Question 3
3.

Use the slope formula to find the slope of a line that passes through the points.
(-4, 3) and (7, 5)

Show your work.

Question 4
4.

Use the slope formula to find the slope of a line that passes through the points.
(1, 2) and (-2, 2)

Show your work.

Question 5
5.

Use the slope formula to find the slope of a line that passes through the points.
(-2, -1) and (2, -6)

Show your work.

Question 6
6.

Use the slope formula to find the slope of a line that passes through the points.
(4, -1) and (4, 3)

Show your work.

Question 7
7.

Find the slope of the equation:


Show your work.

Question 8
8.

Find the y-intercept of the equation:

Show your work.

Question 9
9.

Use the slope and y-intercept to graph the equation.

Question 10
10.

Write the equation in slope intercept form with the given information:

Question 11
11.

Write the equaiton of the line in slope intercept form with the given information:

Show your work in the box below.

Question 12
12.

Write the equaiton of the line in slope intercept form with the given information:

Show your work in the box below.

Question 13
13.

Write an equation in slope intecept form for a linear function f(x) that has the given values.
Hint: What are the two points?

Show your work in the box below.

Question 14
14.

Graph the linear function in the space provided.

Question 15
15.

Write an equation in point-slope form of the line that passes through the given point and has a given slope m.

(2, 1), m = 2

Question 16
16.

Write an equation in point-slope form of the line that passes through the given point and has a given slope m.

(7, -1), m = -6

Question 17
17.

Write an equation in point-slope form of the line that passes through the given point and has a given slope m.

(-8, 2), m = 5

Question 18
18.

Write an equation in point-slope form of the line that passes through the given point and has a given slope m.

(-11, -3), m = -9

Question 19
19.

Graph the equation on the graph below:

Question 20
20.

Write the equation of the line in point-slope form.

Question 21
21.

Write an equation of the line in point-slope form that passes through the given points. SHOW YOUR WORK IN THE BOX BELOW.

(-4, -1), (6, -7)

Question 22
22.

Write the equation of the given line in slope-intercept form.

Show your work.

Question 23
23.

Write the equation of the given line in standard form.
***Remember that standard form can only have integer coefficients!!
Show your work.

Question 24
24.

Write the equation of the line that passes through the two given points in point-slope form.
Show your work.

Question 25
25.

Write the equation of the line that passes through the two given points in slope-intercept form.
Show your work.

Question 26
26.

Write the equation of the line that passes through the two given points in standard form.
Show your work.

Question 27
27.

Graph the equation of the line that has an x-intercept of -5 and a y-intercept of 1

Question 28
28.

Graph the equation of the line.

Question 29
29.

Graph the equation using an input output table. Follow the steps below to make an input output table using the Desmos Calculator.


1) Press the "+" button in the upper right corner
2) Hit "Table" to create the table in Desmos calculator
3) Fill in values for x & y based on your equation.
4) Type the equation as you see it in the line below to draw a line through your points.
If your line does not go through the points, fix your table.

Hit the "home" button to re-center your graph.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 30
30.

Graph the equation using an input output table. Follow the steps below to make an input output table using the Desmos Calculator.


1) Press the "+" button in the upper right corner
2) Hit "Table" to create the table in Desmos calculator
3) Fill in values for x & y based on your equation.
4) Type the equation as you see it in the line below to draw a line through your points.
If your line does not go through the points, fix your table.

Hit the "home" button to re-center your graph.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 31
31.

Graph the equation using an input output table. Follow the steps below to make an input output table using the Desmos Calculator.


1) Press the "+" button in the upper right corner
2) Hit "Table" to create the table in Desmos calculator
3) Fill in values for x & y based on your equation.
4) Type the equation as you see it in the line below to draw a line through your points.
If your line does not go through the points, fix your table.

Hit the "home" button to re-center your graph.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 32
32.

Writing the equation of the line shown.

Question 33
33.

Writing the equation of the line shown.

Question 34
34.

What is the slope of a line parallel to the line formed by the equation?
Show your work.

Question 35
35.

What is the equation of the line parallel to the line formed by the equation and passes through the point (2, 4)?
Show your work.

Question 36
36.

What is the slope of the line perpendicular to the line formed by the equation?
Show your work.

Question 37
37.

What is the equation of the line perpendicular to the line formed by the equation that passes through the point (2, 4)?
Show your work.

Question 38
38.

Find the line of best fit with the Desmos graphing calculator. Round to the nearest tenth on your slope and intercept.

Question 39
39.

Given the equation above, what would you expect the breaking distance to be at a speed of 30 miles an hour?

Question 40
40.

Given the equation above, what would you expect the speed to be when the breaking distance is 10?