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<strong>Students will complete the following questions to practice the skills they have learned in this lesson.</strong>
<p>For questions 1-2, use the following passage:</p>
<blockquote>
<p>A runner is training for a marathon. She runs more than 4 days each week. Each day, <br>
she runs between 12 and 15 miles. The marathon is 3 months away at the most.</p>
</blockquote>
<p>1. What does the inequality \(d > 4\) represent?</p>
<ul>
<li>the number of miles in a marathon</li>
<li>the number of miles the runner runs each day</li>
<li>the number of months away the marathon is</li>
<li>the number of days the runner runs each week</li>
</ul>
<p><strong>Answer:</strong> the number of days the runner runs each week </p>
<p>2. What does the inequality \(12 ≤ m ≤ 15\) represent? </p>
<ul>
<li>the number of miles in a marathon</li>
<li>the number of miles the runner runs each day</li>
<li>the number of months away the marathon is</li>
<li>the number of days the runner runs each week</li>
</ul>
<p><strong>Answer:</strong> the number of miles the runner runs each day </p>
<p>For questions 3-8, write an inequality to represent the constraint given. </p>
<p>3. There are less than 4 patients, \(p\), in the waiting room.</p>
<ul>
<li>\(p < 4 \)</li>
<li>\(p > 4 \)</li>
<li>\(p ≤ 4 \)</li>
<li>\(p ≥ 4 \)</li>
</ul>
<p><strong>Answer:</strong> \(p < 4 \)</p>
<p>4. There are no more than 6 cats, \(c\), in the yard.</p>
<ul>
<li>\(c > 6 \)</li>
<li>\(c ≤ 6\)</li>
<li>\(c < 6 \)</li>
<li>\(c ≥ 6 \)</li>
</ul>
<p><strong>Answer:</strong> c ≤ 6 </p>
<p>5. There are no less than 7 markers, \(m\), in the drawer.</p>
<ul>
<li>\(m > 7 \)</li>
<li>\(m ≤ 7\)</li>
<li>\(m < 7 \)</li>
<li>\(m ≥ \)7 </li>
</ul>
<p><strong>Answer:</strong> m ≥ 7 </p>
<p>6. The basket has between 12 and 19 eggs, \(e\).</p>
<ul>
<li>\(12 > e\) and \(e > 19 \)</li>
<li>\(12 ≥ e\) and \(e ≥ 19 \)</li>
<li>\(e ≤ 19 \)</li>
<li>\(12 ≤ e ≤ 19 \)</li>
</ul>
<p><strong>Answer:</strong> \(12 ≤ e ≤ 19 \) <br>
</p>
<p>7. The total sales of tickets to a show is more than $68. An adult ticket, <i>a</i>, costs $8 and a children’s ticket, \(c\), is $3.</p>
<ul>
<li>\( 8a + 3c ≤ 68 \)</li>
<li>\( 8a + 3c ≥ 68 \)</li>
<li>\( 8a + 3c < 68 \)</li>
<li>\( 8a + 3c > 68 \)</li>
</ul>
<p><strong>Answer: </strong>\( 8a + 3c > 68 \)<strong> </strong></p>
<p>8. There needs to be at least 1 pound of clay, \(c\), for every 4 students, \(s\).</p>
<ul>
<li>\( p ≥ \frac s4 \)</li>
<li>\( p > \frac s4 \)</li>
<li>\( p < \frac s4\)</li>
<li>\( p ≤ \frac s4\)</li>
</ul>
<p><strong>Answer:</strong> \( p ≥ \frac s4 \)</p>
<p>For questions 9-11, use the following passage:</p>
<blockquote>
<p>A doctor sees between 7 and 12 patients each day. On Mondays and Tuesdays, the<br>
appointment times are 15 minutes. On Wednesdays and Thursdays, they are 30 minutes long. On Fridays, they are one hour long. The doctor works for no more than 8 hours a day. Here are some inequalities that represent this situation.</p>
</blockquote>
<p>\(0.25 ≤ y ≤ 1\) \(7 ≤ x ≤ 12\) \( xy ≤ 8 \)</p>
<p>9. What does the variable <i>x</i> represent?</p>
<ul>
<li>the number of patients the doctor sees each day</li>
<li>the part of an hour that each appointment lasts</li>
<li>the total time the doctor spends working with patients each day.</li>
<li>the number of patients the doctor sees in a week</li>
</ul>
<p><strong>Answer:</strong> the number of patients the doctor sees each day</p>
<p>10. What does the variable <i>y</i> represent?</p>
<ul>
<li>the number of patients the doctor sees each day</li>
<li>the part of an hour that each appointment lasts</li>
<li>the total time the doctor spends working with patients each day.</li>
<li>the number of patients the doctor sees in a week</li>
</ul>
<p><strong>Answer:</strong> the part of an hour that each appointment lasts</p>
<p>11. What does the expression \(xy\) in the last inequality mean in this situation?</p>
<ul>
<li>the number of patients the doctor sees each day</li>
<li>the part of an hour that each appointment lasts</li>
<li>the total time the doctor spends working with patients each day.</li>
<li>the number of patients the doctor sees in a week</li>
</ul>
<p><strong>Answer:</strong> the total time the doctor spends working with patients each day</p>
<p>For questions 12-14, use the following passage:</p>
<blockquote>
<p>Arnav wants to build a dog house. He makes a list of the materials needed:</p>
<ul>
<li>At least 60 square feet of plywood for the surfaces</li>
<li>At least 36 feet of wood planks for the frame of the dog house </li>
<li>Between 1 and 2 quarts of paint</li>
</ul>
<p>Arnav's budget is $65. Plywood costs $0.70 per square foot, planks of wood cost $0.10 per foot, and paint costs $8 per quart.</p>
</blockquote>
<p>12. Which inequality represents the square feet of plywood needed?</p>
<ul>
<li>\(p ≥ 60 \)</li>
<li>\(p ≥ 36 \)</li>
<li>\(1 ≤ p ≤ 2\)</li>
</ul>
<p><strong>Answer:</strong> \(p ≥ 60 \)</p>
<p>13. Which inequality represents the number of wood planks needed?</p>
<ul>
<li>\(w ≥ 60 \)</li>
<li>\(1 ≤ w ≤ 2\)</li>
<li>\(w ≥ 36 \)</li>
</ul>
<p><strong>Answer:</strong> \(w ≥ 36 \)</p>
<p>14. Which inequality represents the number of quarts of paint needed?</p>
<ul>
<li>\(q ≥ 60 \)</li>
<li>\(1 ≤ q ≤ 2\)</li>
<li>\(q ≥ 36 \)</li>
</ul>
<p><strong>Answer:</strong> \(1 ≤ q ≤ 2\)</p>