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How well do you understand the concepts and skills introduced in this lesson?

Are you ready to take this lesson's quiz? The questions below will help you find out. Make sure you understand why each correct answer is correct--if you don't, review that part of the lesson.

Which of the following words indicates division in a verbal representation?

  1. together
  2. product
  3. yields

Together indicates addition.

Exactly! "Per" is used to indicate division.

Product is multiplication.

Yields indicates equals.

Which of the following properties of equality would you use to move the 4 to the other side of the equation \(\mathsf{ \frac{2x}{4} = 3 }\)?

  1. addition property of equality
  2. subtraction property of equality
  3. division property of equality

The 4 is divided into the 2x, thus you need to multiply it on both sides.

The 4 is divided into the 2x, thus you need to multiply it on both sides.

The 4 is divided into the 2x, thus you need to multiply it on both sides.

The 4 is divided into the 2x, thus you need to multiply it on both sides.

Which of the following should you do first when solving the equation \(\mathsf{ 3x + 2 = 4x - 2(x+ 3) }\)?

  1. subtract 2 from both sides
  2. divide both sides by 3
  3. subtract 4x from both sides

If there are grouping symbols in an equation, you need to clear those grouping symbols first.

If there are grouping symbols in an equation, you need to clear those grouping symbols first.

If there are grouping symbols in an equation, you need to clear those grouping symbols first.

If there are grouping symbols in an equation, you need to clear those grouping symbols first.

Solve \(\mathsf{ 3x + 2 = 4x - 2(x+ 3) }\) for x.

  1. \(\mathsf{ x = 8 }\)
  2. \(\mathsf{ x = -\frac{8}{7} }\)
  3. \(\mathsf{ x = \frac{8}{7} }\)

First, distribute the 2, then combine like terms. Then, isolate the variable on one side of the equation.

First, distribute the 2, then combine like terms. Then, isolate the variable on one side of the equation.

First, distribute the 2, then combine like terms. Then, isolate the variable on one side of the equation.

First, distribute the 2, then combine like terms. Then, isolate the variable on one side of the equation.

Summary

Questions answered correctly:

Questions answered incorrectly: