Evaluate -3m+4: Substituting m=2 and m=-1/2

Question

Look at the following algebraic expression:

m:3m+4 m:-3m+4

Calculate when: m=2 m=2

Calculate when: m=12 m=-\frac{1}{2}

Video Solution

Solution Steps

00:00 Set up and calculate
00:03 Let's start by simplifying the expression
00:09 Let's reduce what we can
00:15 Positive divided by negative always equals negative
00:26 We can see that in the simplified expression, the variable M has no significance
00:30 And this is the solution to the question

Step-by-Step Solution

Let's start with the first option.

Let's write the division exercise in the expression as a simple fraction:

m3m+4= \frac{m}{-3m}+4=

Note that we can reduce the m in both the numerator and denominator of the fraction to get:

13+4= \frac{1}{-3}+4=

Since we are dividing a negative number by a positive number, we will get a negative result:

13+4=323 -\frac{1}{3}+4=3\frac{2}{3}

Let's continue with the second option.

Since in the previous exercise we saw that we can reduce the m in the numerator and denominator of the fraction, we'll do the same thing here and therefore reach the same result:

323 3\frac{2}{3}

Therefore, the final answer is that for any m the expression will equal -3 and two thirds.

Answer

For each m the value of the expression will be +323 +3\frac{2}{3} .