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# 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 relationships unit test is important for students as it helps students to understand identifying and interpreting the relationship between two dependent variables.

Teachers can organise this test to assess and upgrade students’ knowledge.

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.”