# 8th Grade Math Linear Relationships And Functions Unit Test

20 questions

### #1 of 20:Medium

Linear Relationships and Functions

<p>This table represents a function:</p><TableUIv2 data-props='{ "headers": [ { "value": "`x`" }, { "value": "`y`" } ], "borders": { "rows": [ 5 ], "cols": [ 2 ] }, "rows": [ [ { "value": "`-9`" }, { "value": "`1`" } ], [ { "value": "`-5`" }, { "value": "`4`" } ], [ { "value": "`-3`" }, { "value": "`3`" } ], [ { "value": "`-2`" }, { "value": "`-1`" } ] ], "border_color": "rgba(0, 0, 0, 1)"}'></TableUIv2 ><p>Which of the ordered pairs below could we add and still allow the relation to remain a function? </p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><ul><li> `(-9,4)` </li><li> `(-8,3)` </li><li> `(-5,5)` </li><li> `(-4,1)` </li><li> `(5,0)` </li></ul></selectivedisplay>

### #2 of 20:Medium

Linear Relationships and Functions

<p>This table represents a function:</p><TableUIv2 data-props='{ "headers": [ { "value": "`x`" }, { "value": "`y`" } ], "borders": { "rows": [ 6 ], "cols": [ 2 ] }, "rows": [ [ { "value": "`3`" }, { "value": "`-18`" } ], [ { "value": "`6`" }, { "value": "`-14`" } ], [ { "value": "`9`" }, { "value": "`-10`" } ], [ { "value": "`12`" }, { "value": "`-5`" } ] ], "border_color": "rgba(0, 0, 0, 1)"}'></TableUIv2 ><p>Which of the ordered pairs below could we add and still allow the relation to remain a function? </p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><ul><li> `(-3,20)` </li><li> `(0,-19)` </li><li> `(3,-17)` </li><li> `(4,-10)` </li><li> `(9,-8)` </li></ul></selectivedisplay>

### #3 of 20:Mild

Linear Relationships and Functions

<p>Complete the table for the equation:</p><p>`y = 2x - 4`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "headers": [ { "value": "x" }, { "value": "y" } ], "borders": { "rows": [ 5 ], "cols": [ 2 ] }, "rows": [ [ { "value": "-5" }, { "value": "" } ], [ { "value": "-2" }, { "value": "" } ], [ { "value": "3" }, { "value": "" } ], [ { "value": "4" }, { "value": "" } ] ], "border_color": "rgba(0, 0, 0, 1)"}'></TableUIv2 ></selectivedisplay>

### #4 of 20:Medium

Linear Relationships and Functions

<p>Complete the table for the equation:</p><p>`y = 4x + 3`</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><TableUIv2 data-props='{ "headers": [ { "value": "x" }, { "value": "y" } ], "borders": { "rows": [ 5 ], "cols": [ 2 ] }, "rows": [ [ { "value": "-3" }, { "value": "" } ], [ { "value": "" }, { "value": "-5" } ], [ { "value": "0" }, { "value": "" } ], [ { "value": "" }, { "value": "7" } ] ], "border_color": "rgba(0, 0, 0, 1)"}'></TableUIv2 ></selectivedisplay>

### #5 of 20:Mild

Linear Relationships and Functions

<p>Find the slope of the line that passes through (`-40`, `-36`) and (`-22`, `-17`).<br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight></p>

### #6 of 20:Medium

Linear Relationships and Functions

<p>Find the slope of the line that passes through (`19`,`-16`) and (`-7`, `-15`).<br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight></p>

### #7 of 20:Spicy

Linear Relationships and Functions

<p>Find the slope of the line that passes through (`3/4`, `2/3`) and (`5/4`, `1/3`).<br><highlight data-color="#666" data-style="italic">Write your answer as an integer or simplified fraction.</highlight></p>

### #8 of 20:Mild

Linear Relationships and Functions

<p>What is the equation of the line that passes through the point `(0, -3)` and has a slope of `4/5`? <br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions. </highlight></p>

### #9 of 20:Medium

Linear Relationships and Functions

<p>What is the equation of the line that passes through the points `(24, 0)` and `(-8, -8)`.<br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight></p>

### #10 of 20:Medium

Linear Relationships and Functions

<p>What is the equation of the line that passes through the points `(-15, 50)` and `(2, -35)`.<br><highlight data-color="#666" data-style="italic">Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight></p>

### #11 of 20:Medium

Linear Relationships and Functions

<p>Rewrite the following equation in slope-intercept form.</p><p>`-10y + 3x = 40`<br><highlight data-color="#666" data-style="italic">Write your answer using integers and/or simplified fractions.</highlight></p>

### #12 of 20:Spicy

Linear Relationships and Functions

<p>Rewrite the following equation in slope-intercept form.</p><p>`6x – 4/5y + 8 = 0`<br><highlight data-color="#666" data-style="italic">Write your answer using integers and/or simplified fractions.</highlight></p>

### #13 of 20:Mild

Linear Relationships and Functions

<p>Graph a line that has a slope of `5/3` and includes the point `(2, -4)`.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph ></selectivedisplay>

### #14 of 20:Spicy

Linear Relationships and Functions

<p>Graph a line that has a slope of `-3/4` and includes the point `(-14, 12)`.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><LineGraph data-props='{ "options": { "x_min": -20, "y_min": -20, "y_max": 20, "x_max": 20, "cell_size": 15, "x_interval": 2, "y_interval": 2,"x_skip_interval": 4, "y_skip_interval": 4 }, "points": [], "line_segments": [] }'></LineGraph ></selectivedisplay>

### #15 of 20:Medium

Linear Relationships and Functions

<p>Graph the line `y = -5`.</p><selectivedisplay><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 15, "x_interval": 1, "y_interval": 1 }, "points": [], "line_segments": [] }'></LineGraph ></selectivedisplay>

### #16 of 20:Mild

Linear Relationships and Functions

<p>What are the `x`- and `y`-intercepts of the line `4x + y = -8`?<br><highlight data-color="#666" data-style="italic">Write each coordinate as an integer or simplified fraction. </highlight></p>

### #17 of 20:Medium

Linear Relationships and Functions

<p>What are the `x`- and `y`-intercepts of the line `7x – 5y = -70`?<br><highlight data-color="#666" data-style="italic">Write each coordinate as an integer or simplified fraction. </highlight></p>

### #18 of 20:Spicy

Linear Relationships and Functions

<p>Find the <i>x</i>- and <i>y</i>-intercept for:</p><p> `2x – 2y = 7`</p> <i><p style="color:#666">Write each coordinate as an integer or exact decimal.</i> </p><p>Then graph the line using the intercepts.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 15, "x_interval": 0.5, "x_skip_interval": 1, "y_interval": 0.5 , "y_skip_interval": 1}, "points": [], "line_segments": [] }'></LineGraph ></selectivedisplay>

### #19 of 20:Spicy

Linear Relationships and Functions

<p>Find the <i>x</i>- and <i>y</i>-intercept for:</p><p> `-2x + 5y = 5`</p> <i><p style="color:#666">Write each coordinate as an integer or exact decimal.</i> </p><p>Then graph the line using the intercepts.</p><selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'><LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 15, "x_interval": 0.5, "x_skip_interval": 1, "y_interval": 0.5 , "y_skip_interval": 1}, "points": [], "line_segments": [] }'></LineGraph ></selectivedisplay>

### #20 of 20:Spicy

Linear Relationships and Functions

<p>What is the equation of the line that passes through the point `(-1, -2)` and has a slope of `3/2`? <br><highlight data-color="#666" data-style="italic"> Write your answer in slope-intercept form using integers and/or simplified fractions.</highlight></p>

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b. Solving linear r...

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Linear Relationships And Functions

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### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”