6th Grade Math Expressions, Equations, And Inequalities Unit Test

<p>Write an expression to match the phrase:</br>"`d` combined with `4`"</p>

<p>Joelle's mother packed `c` cookies in her lunch box today. Joelle shared `3` cookies with some of her friends during lunch. </p><p>How many cookies did Joelle have left for herself to eat? Write an expression using `c` and `3`.</p>

<p>Write an expression to match the phrase:<br>''Add `2` to the value of `z` separated into `5` equal parts''</p>

<p>Write an algebraic expression to match the phrase below.</br>"`3` multiplied by the result of subtracting `q` from `6`"</p>

<p>Write an algebraic expression to match the phrase below.</br>"The quotient of `4` and the sum of `5` and `c`"</p>

<p>A group of `4` friends went to see a new release movie. They each bought a movie ticket that cost `d` dollars. They also bought a large tub of popcorn to share that cost `$10.50`. </p><p>How much money did the `4` friends spend at the movie theater? Write an expression using `4`, `d`, and `10.50`.</p>

<p>Jake and Allison are each making homemade macaroni and cheese. Alison used `a` cups of cheese in her recipe. Jake uses `3/4` the amount of cheese that Allison used in her recipe but then adds `1` more cup of cheese to the top. </p><p>How many cups of cheese does Jake use? Write an expression using `a`, `3/4`, and `1`.</p>

<p>Write an equation that represents the tape diagram.</p><FractionTape data-props='{ "total_width": 300, "labels": [ { "start_id": 0, "end_id": 5, "marker_color": "shaded", "label": "`45`", "position": "bottom" } ], "cells": [ { "id": 0, "width": 0, "color": "shaded", "height": 58, "border": "solid" }, { "id": 1, "width": 60, "color": "shaded", "height": 58, "border": "solid", "label": "`x`" }, { "id": 2, "width": 60, "color": "shaded", "height": 58, "border": "solid", "label": "`x`" }, { "id": 3, "width": 60, "color": "shaded", "height": 58, "border": "solid", "label": "`x`" }, { "id": 4, "width": 60, "color": "shaded", "height": 58, "border": "solid", "label": "`x`" }, { "id": 5, "width": 60, "color": "shaded", "height": 58, "border": "solid", "label": "`x`" } ]}'></FractionTape ><p style="color:#666"><i> Write your equation in simplest form, but do not solve the equation.</i></p>

<p>Find the value of `x` that keeps the clothes hanger balanced.</p><ClotheHanger data-props='{ "items": [ { "shape": "circle", "text": "`x`", "size": 35, "highlighted": false, "id": 0, "cancelled": false, "position": "left" }, { "shape": "circle", "text": "`x`", "size": 35, "highlighted": false, "id": 1, "cancelled": false, "position": "left" }, { "shape": "circle", "text": "`x`", "size": 35, "highlighted": false, "id": 2, "cancelled": false, "position": "left" }, { "shape": "rectangle", "text": "`21`", "size": 140, "highlighted": false, "id": 0, "cancelled": false, "position": "right" } ], "labels": []}'></ClotheHanger >

<p>Write an equation to match the phrase:</p><p>"`4` fewer than `k` is `17`"</p>

<p>The coach for a soccer team filled a cooler with orange drink for her players to drink during their game. The cooler holds `640` fluid ounces. At the end of the game, there were only `35` fluid ounces of orange drink left in the cooler. </p><p>Write an equation to find the total number of fluid ounces of orange drink `(f)` that the team consumed during the game. </p>

<p>Simplify:</p><p>`6y + 2 + 3 - y`</p>

<p>Use the distributive property to write an equivalent, simplified expression.</p><p>`2.5(4f + 22)`</p>

<p>Use the area model to write the expression in factored form:</p><p>`14p + 21q`</p><selectivedisplay><TableUIv2 data-props='{ "borderless": true, "transparent": true, "rows": [ [ { "value": "" }, { "value": "`?`" }, { "value": "`?`" } ], [ { "value": "`7`", "styles": { "border_right": { "color": "black", "width": "2" } } }, { "value": "`14p`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" } }, { "value": "`21q`", "colors": "black", "styles": { "border_top": { "color": "black", "width": "1.5" }, "border_right": { "color": "black", "width": "1.5" }, "border_bottom": { "color": "black", "width": "1.5" }, "height": "52", "width": "96" } } ] ]}'></selectivedisplay></TableUIv2 >

<p>Write `54m - 72` in factored form.</p>

<p>Simplify:</p><p>`0.3^3`</p>

<p>Simplify:</p><p>`128 - 100 ÷ 4 + 14 × 2^2`</p>

<p>Simplify the expression given that `y` = `2`. </p><p>`y^3 + 8 - 3`</p>

<p>Write an inequality that describes the graph below.</p><NumberLine data-props='{ "min_scale": -5, "max_scale": 5, "interval": 1, "show_markers": true, "hash_marks_between_interval": 1, "points": [ { "id": 1.5, "value": 1.5, "show_point": true, "point_color": "#000" } ], "point_arrows": [ { "start_point_id": null, "end_point_id": 1.5, "color": "#000" } ]}'></NumberLine >

<p>Chelsea completes her homework and practices her instrument every day after school. Once her homework and practice are complete, Chelsea can have no more than `45` minutes of screen time.</p><p>Write an inequality to represent the amount of time, in minutes, that Chelsea can have for screen time each day after school, `t`.</p>

<p>Noah's job is to clean up the kitchen after dinner each evening. He gets an allowance for his help. The graph represents the relationship between the number of days Noah cleans the kitchen (`d`) and the amount of money that he receives as an allowance (`a`).</p><LineGraph data-props='{ "options": { "x_min": 0, "y_min": 0, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_label": "Time (Days)", "y_label": "Money (dollars)", "title": "Allowance Noah Receives for Helping", "x_axis_name": "d", "y_axis_name": "a" }, "points": [ { "id": 1, "x": 2, "y": 3, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false }, { "id": 2, "x": 4, "y": 6, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false }, { "id": 3, "x": 6, "y": 9, "show_point": true, "highlight_point": false, "highlight_point_color": "#0066FF", "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 4, "show_start_arrow": false, "show_end_arrow": true, "highlight_line": "#000000" } ]}'></LineGraph ><ul><li>Identify the independent and dependent variables. </li><li>Write an equation that represents the relationship between the two variables.</li></ul>

<p>The school orchestra is practicing for an upcoming concert. </p> <p>The table shows the relationship between the number of practices (`p`) and the amount of time spent practicing (`m` minutes).</p><TableUIv2 data-props='{ "headers": [ { "value": "Number of Practices (`p`)" }, { "value": "Amount of Time (`m` minutes)" } ], "borders": {}, "rows": [ [ { "value": "1" }, { "value": "6.25" } ], [ { "value": "2" }, { "value": "12.5" } ], [ { "value": "3" }, { "value": "18.75" } ] ]}'></TableUIv2 ><ul><li>Identify the independent and dependent variables. </li> <li> Create an equation that shows the relationship between `p` and `m`.</li></ul>