SOLVING SIMPLE SENTENCES BY INSPECTION

LESSON READ-THROUGH
by Dr. Carol JVF Burns (website creator)
Follow along with the highlighted text while you listen!
 

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.

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 the exercise at the bottom of this page.


When you're done practicing, move on to:
Using Mathematical Conventions

 
 
Give a solution to this sentence:
    
(MAX is 23; there are 23 different problem types.)