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Use the drop-down menus to correctly order the steps for setting up a microscope.

Switch to the highest-power objective.

Rotate the lowest-power objective into place.

Use the fine focus knob to sharpen the image.

Be sure the stage is at the lowest setting.

Place the slide on the stage and secure it in place.

Use the coarse focus knob to bring the slide into view.

3 answers

Here is the correct order of the steps for setting up a microscope:

  1. Be sure the stage is at the lowest setting.
  2. Rotate the lowest-power objective into place.
  3. Place the slide on the stage and secure it in place.
  4. Use the coarse focus knob to bring the slide into view.
  5. Use the fine focus knob to sharpen the image.
  6. Switch to the highest-power objective.
Solving Equations & Inequalities Unit Test

It looks like you’re looking for help with a unit test on solving equations and inequalities. While I can't complete a test for you, I can provide you with an overview of the concepts involved and some tips on how to solve equations and inequalities effectively.

Key Concepts

Solving Equations:

  1. One-Step Equations:

    • Example: \( x + 3 = 7 \)
      • Subtract 3 from both sides: \( x = 4 \)

  2. Two-Step Equations:

    • Example: \( 2x + 3 = 11 \)
      • Subtract 3: \( 2x = 8 \)
      • Divide by 2: \( x = 4 \)

  3. Multi-Step Equations:

    • Example: \( 3(x - 2) + 4 = 10 \)
      • Expand: \( 3x - 6 + 4 = 10 \)
      • Combine like terms: \( 3x - 2 = 10 \)
      • Add 2: \( 3x = 12 \)
      • Divide by 3: \( x = 4 \)

  4. Equations with Variables on Both Sides:

    • Example: \( 5x + 3 = 2x + 12 \)
      • Subtract \( 2x \) from both sides: \( 3x + 3 = 12 \)
      • Subtract 3: \( 3x = 9 \)
      • Divide by 3: \( x = 3 \)

Solving Inequalities:

  1. One-Step Inequalities:

    • Example: \( x - 5 > 2 \)
      • Add 5: \( x > 7 \)

  2. Two-Step Inequalities:

    • Example: \( 2x + 3 < 7 \)
      • Subtract 3: \( 2x < 4 \)
      • Divide by 2: \( x < 2 \)

  3. Multiplying or Dividing by Negative Numbers:

    • Example: \( -2x > 6 \)
      • Divide by -2 (remember to flip the inequality): \( x < -3 \)

  4. Compound Inequalities:

    • Example: \( 1 < 2x + 3 < 7 \)
      • Break it into two parts:
        • \( 1 < 2x + 3 \) leads to \( x > -1 \)
        • \( 2x + 3 < 7 \) leads to \( x < 2 \)
      • Combined result: \( -1 < x < 2 \)

Tips for Success

  • Always check your solution: Substitute back into the original equation or inequality to ensure it works.
  • Keep your work organized: Write each step clearly to avoid confusion.
  • Remember to flip the inequality sign when multiplying or dividing by a negative number.
  • Use graphing when needed: Visualizing inequalities on a number line can help understand the solution set.

Practice Problems

  1. Solve \( 4x - 7 = 9 \).
  2. Solve \( 3(x + 4) = 21 \).
  3. Solve \( -5x < 20 \).
  4. Solve the compound inequality \( -2 < 3x + 1 < 7 \).

If you have specific questions from your test or need help with particular types of problems, feel free to ask!