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1.7 Concept Review

Concept Review: Percent, Proportion, Conversions, Lines

    1. Explain in your own words the relationship between Ratio, Decimal, and Percent.
    2. Give an equivalent example of each. (Note: You may find it more helpful to answer part (b) before part (a).)
    3. Which of the following ratio(s) can be written as a percent? (And if so, what is the percent?)
      1. Traveling 55 miles per hour
      2. 21 students pass a math test out of a class of 24 students
      3. 195 calories in a donut
      4. Earning 2 hours and 24 minutes towards your Exam 1 lab requirement (200 minutes)
  2. Find all the errors and explain how to fix them.Luis left a $5 tip on a $22.70 check. Then the percent tip he left is[latex]\frac{22.70}5=4.54\%[/latex]
    1. What is a proportion? How can you recognize when a problem can be set up as a proportion?
    2. Make up a proportion problem.
    1. [latex]\ln\;2018[/latex], only [latex]551,073[/latex] people voted out of the [latex]1,073,320[/latex] registered voters in Bexar County. If [latex]1,300,000[/latex] people are registered in Bexar County, predict how many of them will vote.
    2. Solve this problem using a second method.
  5. Name three units that are part of the metric system. Name three units that are not metric (Imperial).
  6. Describe two ways you can perform conversions within the metric system and give an example using each.
  7. Explain the differences between converting [latex]100[/latex] ft to cm versus converting [latex]100\;\mathrm{ft}^2\;\text{to}\;\mathrm{cm}^2.[/latex]
    1. What are two different methods for graphing a line?
    2. How are these methods similar or different?
    3. Which method do you prefer, and why?
  9. The equation [latex]4x+2y=8[/latex] is equivalent to the equation [latex]y=-2x+4.[/latex]
    1. What information can you obtain from each equation to draw its graph?
    2. Sketch the graph.
    1. Find the slope of the line by counting the rise over run between points [latex]A[/latex] and [latex]B[/latex] on the graph.
    2. Find the slope of the line using the [latex](x,y)[/latex] coordinates of points [latex]A[/latex] and [latex]C[/latex] and the slope formula.
    3. Why are your answers in (a) and (b) the same?
      A straight black line is plotted on a Cartesian coordinate system. Three black points are labeled A, B, and C and lie on the line. Point A is at (-2, 5), point B is at (-1, 3), and point C is at (2, -3).
  11. Let [latex]f\left(x\right)=-5x=20[/latex]. Describe the difference between [latex]f\left(0\right)[/latex] and where [latex]f\left(x\right)=0[/latex]

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