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audio read-through Solving Simple Sentences By Inspection

In this exercise, you will practice solving sentences ‘by inspection’. That is, you will look at the sentence, stop and think, and come up with a number that makes the sentence true.

Some sentences have exactly one solution. Some sentences have many solutions; you will provide only one. You should do this exercise without using a calculator.

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Examples

Question: Solve:   $x = 5$
Answer: $5$
Question: Solve:   $x \gt 5$
Answer: $\,5.1\,,$   or $\,6\,,$   or $\,1007.4\,$;   any number in the interval $\,(5,\infty)\,$ (You may want to review interval notation.)
Question: Solve:   $\displaystyle\frac{x}{6} = \frac{1}{2}$
Answer: $3$
Question: Solve:   $x + 2 = 9$
Answer: $7$
Master the ideas from this section by practicing below:

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When you're done practicing, move on to:

Using Mathematical Conventions
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Practice

Click ‘New problem’ to begin!
Give a solution to this sentence:
To get a randomly-generated practice problem, click the ‘New problem’ button above.

Type your answer in the box below, and then press ‘Enter’ or ‘Check your answer’.
Type your answer here, then press ‘Enter’ or ‘Check your answer’:
Want to time yourself? (Algebra Pinball)
Step 2: Click ‘Start timing’ below
    
Desired # problems:
(MAX is 23)
Extra work-space?
(units are pixels):