Algebra: Finding Missing Values
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Questions and Answers

What is the formula for density?

  • volume - mass
  • volume / mass
  • mass / volume (correct)
  • mass * volume
  • What do you get when you multiply both sides of the density equation by volume and divide both sides by density?

  • volume / mass
  • mass / volume
  • mass / density
  • volume = mass / density (correct)
  • What is a crucial skill for scientists to have when working with data collection and analysis?

  • Determining unknown values from known ones (correct)
  • Ignoring formulas and using intuition
  • Conducting experiments without a hypothesis
  • Only considering qualitative data
  • What is the unit of the volume calculated in the example?

    <p>cm^3</p> Signup and view all the answers

    What is the first step in determining a missing value in an equation?

    <p>Memorize the formula</p> Signup and view all the answers

    What is the formula for speed in the racecar example?

    <p>distance / time</p> Signup and view all the answers

    What is the purpose of reorganizing a formula when determining a missing value?

    <p>To get all the known values on the same side of the equation</p> Signup and view all the answers

    How did the hours cancel out in the racecar example?

    <p>They were in the numerator and denominator</p> Signup and view all the answers

    If you have the equation 2 + x = 5, what should you do to get the unknown value, x, by itself?

    <p>Subtract 2 from each side</p> Signup and view all the answers

    What is the formula for force in the book example?

    <p>pressure / area</p> Signup and view all the answers

    Why might it be difficult to measure the volume of a copper chunk?

    <p>Because there are no 'clean' straight edges to measure along</p> Signup and view all the answers

    What is the unit of the force calculated in the book example?

    <p>pounds/ft^2</p> Signup and view all the answers

    What is an alternative to calculating the volume of a copper chunk from its mass and density?

    <p>Filling a beaker with water and measuring the volume of water displaced</p> Signup and view all the answers

    What is the key to solving these types of problems?

    <p>Rearranging the equation to isolate the desired variable</p> Signup and view all the answers

    What is the density of the copper chunk given in the example?

    <p>8.96 g/cm^3</p> Signup and view all the answers

    Study Notes

    Determining a Missing Value

    • As a scientist, determining unknown values from known ones is a crucial skill.
    • This skill is frequently used in data collection and analysis.
    • Simple mathematic relationships can be used to calculate missing values.

    Simple Algebra

    • To determine a missing value, you need to know the formula.
    • Memetrize basic formulas and look up others online or in texts.
    • Rearrange the formula to get all known values on the same side.

    Examples

    • Basic example: 2 + x = 5, solve for x by subtracting 2 from each side.
    • Density example: given density = 8.96 g/cm^3 and mass = 25 g, calculate volume.
    • Formula: density = mass / volume, rearrange to get volume = mass / density.
    • Solution: volume = 25 g / 8.96 g/cm^3 = 2.79 cm^3.

    Speed and Distance

    • Given speed = 125 mph and time = 15 minutes, calculate distance.
    • Formula: speed = distance / time, rearrange to get distance = speed * time.
    • Solution: distance = 125 mph * 0.25 h = 31.25 miles.

    Force and Pressure

    • Given pressure = 2 pounds/1 ft^2, calculate force.
    • Formula: force = pressure / area, plug in values and calculate.
    • Solution: force = 2 pounds/1 ft^2 = 2 pounds/ft^2.

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    Description

    Determining unknown values from known ones is a crucial skill in data collection and analysis. Learn how to use simple mathematic relationships to calculate missing values.

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