Temperature Conversion and Time Management Quiz
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Questions and Answers

Which of the following is the correct formula to convert °C to °F?

  • F = (C + 32)
  • F = (C * 1.8) + 32 (correct)
  • F = (C - 32)
  • F = (C / 1.8) + 32

    • If Antonio can drive home after working less than 7 hours or after working more than 9 hours, how can this be written as a single compound inequality?

  • 7 > h > 9
  • h > 7 or h < 9
  • 7 < h < 9
  • h < 7 or h > 9 (correct)

    • Which number line represents the solutions to the equation –2|x| = –6?

  • Number line D
  • Number line A (correct)
  • Number line B
  • Number line C

    • Which explains whether Johan's solutions for the equation –2|8 – x| – 6 = –12 are correct?

    <p>He is correct because both solutions satisfy the equation.</p> Signup and view all the answers

    What is the result of converting 50°C to °F?

    <p>-40°F</p> Signup and view all the answers

    Which situation could be represented by the graph?

    <p>A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.</p> Signup and view all the answers

    What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

    <p>–12 – 20x ≥ –6x + 9</p> Signup and view all the answers

    Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h?

    <p>h = ÷ r</p> Signup and view all the answers

    The tables represent the functions f(x) and g(x). Which input value produces the same output value for the two functions?

    <p>x = 0</p> Signup and view all the answers

    Deepak wrote out the steps to his solution of the equation – 3x – 5 + 4x = –. Which step has an incorrect instruction?

    <p>Step 3</p> Signup and view all the answers

    Which expression represents the conversion of 20°F to °C?

    <p>-6.67</p> Signup and view all the answers

    What is the compound inequality that represents Antonio driving home after working less than 7 hours or after working more than 9 hours?

    <p>h &lt; 7 or h &gt; 9</p> Signup and view all the answers

    Which number line represents the solutions to the equation |2x| = -6?

    <p><code>-6---5---4---3---2---1</code></p> Signup and view all the answers

    The equation -3|x - 4| - 5 = -2 has how many possible solutions?

    <p>1</p> Signup and view all the answers

    Which situation could be represented by the graph?

    <p>Students in the children’s choir are at least 8 years old but no more than 11 years old.</p> Signup and view all the answers

    What is the equivalent compound inequality for the statement 'z is greater than -3 or less than or equal to 5'?

    <p>-3 &lt;= z &lt;= 5</p> Signup and view all the answers

    What is the solution to the equation –9x + 1 = –x + 17?

    <p>x = -2</p> Signup and view all the answers

    What is the value of y in the equation y + 3 = –y + 9?

    <p>y = 3</p> Signup and view all the answers

    What is the solution to the inequality 2(4x – 3) ≥ –3(3x) + 5x?

    <p>(–∞, 2]</p> Signup and view all the answers

    What is the value of n in the equation n = 0?

    <p>n = 0</p> Signup and view all the answers

    What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?

    <p>-12 - 20x ≤ -6x + 9</p> Signup and view all the answers

    In the equation p = 0.7(rh + b), what is an equivalent equation solved for h?

    <p>h = – b ÷ r</p> Signup and view all the answers

    In the functions f(x) and g(x), which input value produces the same output value for the two functions?

    <p>x = 0</p> Signup and view all the answers

    Which step in Deepak's solution to the equation –3x – 5 + 4x = – is incorrect?

    <p>Step 3</p> Signup and view all the answers

    Lily begins solving the equation: 4(x – 1) – x = 3(x + 5) – 11. How can her partial solution be interpreted?

    <p>The equation has no solution.</p> Signup and view all the answers

    'Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b.' Which of the following is another correct form of the given equation?

    <p>p=0.7(b+rh)</p> Signup and view all the answers

    Study Notes

    Temperature Conversion

    • The correct formula to convert °C to °F is °F = (°C × 9/5) + 32.
    • 50°C is equivalent to 122°F.

    Inequalities

    • Antonio can drive home after working less than 7 hours or after working more than 9 hours, which can be represented as a single compound inequality: x < 7 or x > 9.
    • The equivalent compound inequality for the statement 'z is greater than -3 or less than or equal to 5' is z > -3 or z ≤ 5.

    Absolute Value Equations

    • The equation –2|x| = –6 has no solutions.
    • The equation |2x| = –6 has no solutions.
    • The equation –3|x - 4| - 5 = –2 has two possible solutions.

    Functions

    • Anastasia's equation p = 0.7(rh + b) can be solved for h as h = (p - 0.7b)/0.7r.
    • The input value that produces the same output value for the functions f(x) and g(x) is x = 2.

    Solving Equations

    • A correct first step in solving the inequality –4(3 – 5x) ≥ –6x + 9 is to distribute the –4 to the terms inside the parentheses.
    • The solution to the equation –9x + 1 = –x + 17 is x = 2.
    • The solution to the equation y + 3 = –y + 9 is y = 3.
    • The solution to the inequality 2(4x – 3) ≥ –3(3x) + 5x is x ≥ 3/2.

    Miscellaneous

    • Deepak's solution to the equation –3x – 5 + 4x = – has an incorrect instruction in the step where he adds 5 to both sides.
    • Lily's partial solution to the equation 4(x – 1) – x = 3(x + 5) – 11 can be interpreted as simplifying the left side to 3x – 4 = 3x + 10, which is incorrect.
    • Anastasia's equation p = 0.7(rh + b) can be rewritten as p/0.7 = rh + b, which is another correct form of the given equation.

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    Test your knowledge of temperature conversion and time management with 25 new questions. Practice converting temperatures between Celsius and Fahrenheit, and solve problems related to managing work hours for avoiding heavy traffic.

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