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Algebraic Sense
Lesson 20
Symbols and Notations
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 | 4 > Practice: 1 | 2 | 3 | 4 | 5 > Reflection

Example 4:

If y = 3, which number sentence is true?

A. 4y - 3 < 8
B. 4y - 3 > 8
C. 4y - 3 = 8
D. 4y - 3 < 8

To solve this problem, you will want to begin by solving the equation and substituting 4 for y.

4y - 3
4(3) - 3
12 - 3
9

Now that you know what 4y - 3 equals, you can begin looking at your possible choices. The very first one you know isn't correct is letter C, since the equation equals 9 not 8.

Now you can substitute 9 for the equation, like this:

Letter A - 9 < 8
Letter B - 9 > 8
Letter D - 9 < 8

As you look over the number sentences, you know that 9 isn't less than or equal to 8, so letter A doesn't work.

For letter B, 9 > 8, this statement is true as 9 is greater than 8. Looks like letter B could be our answer, but let's check the last one to make sure.

Letter D is 9 < 8, this sentence isn't true as 9 is not less than 8.

Therefore, you found that the correct answer to this problem is letter B, 4y - 3 > 8.

Practice 1 >>

 

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