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## 6th grade

### Course: 6th grade > Unit 6

Lesson 4: Substitution & evaluating expressions- Evaluating an expression with one variable
- Evaluating expressions with one variable
- Evaluating exponent expressions with variables
- Evaluating expressions like 5x² & ⅓(6)ˣ
- Variable expressions with exponents
- Evaluating expressions with one variable

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# Evaluating expressions like 5x² & ⅓(6)ˣ

Evaluating expressions with exponents involves substituting a given value for the variable and following the order of operations. Calculate the exponent first, then perform any multiplication or division. Mastering this skill is essential for solving more complex algebraic problems and understanding mathematical relationships. Created by Sal Khan.

## Want to join the conversation?

- How does 1/3 x 36 = 12?(5 votes)
- 1 * 36 = 36

3 * 1 = 3

Since 36 = 36/1, 1*36 / 3*1 is the same thing as saying 36/3, or 12.

Or, think of it this way: 1/3 * 36 is the same as 36 / 3, which is also 12.(7 votes)

- How it equals 12 is because they did 36 divided by 3 = 12(4 votes)
- They just simplified the answer first it was 36/3 and they both can be divisible so the answer came as 12

Hope this helps :)(1 vote)

- WHAT IS 6^2 + x - x^26

2

+x−x

2

6, squared, plus, x, minus, x, squared for x=3x=3x, equals, 3.(3 votes)- It appears you tried to copy and paste a question, but the syntax is so confusing, it is difficult to tell what you are really asking.(4 votes)

- I need help I am confused with fractions and exponents.

What do with other fractions.(3 votes) - How do you simplify questions that long(1 vote)
- The expressions are actually too short to really simplify, since they're only one term.

All you need to do is plug in numbers to your variables and solve.(3 votes)

- At the second question with thirds how do you do like thirds,half's and quarters. Do you divide your number by like thirds if it was thirds? For example 1/2 5 do you divide by half’s? I don’t think sal said anything about that.(1 vote)
- no you divide by 2 when you multiply by 1/2(2 votes)

- 1/3(6x<----sqwered) X=2 its 4(1 vote)
- how does expressions work?(1 vote)
- so how do u find out what x is if the problem didnt say the answer(1 vote)
- You cannot evaluate an expression unless they give you value(s) to put in. without the value(s), it just remains an expression.(2 votes)

## Video transcript

- [Instructor] What I
want you to do is evaluate the expression 5x squared when x is equal to three. Pause this video and have a go at that. All right, well, we just have to think about every place we see an x, we'll now replace it with a three. So this is going to be
equivalent to five times, instead of x squared, it's going to be five times three squared. And we know from order of operations, we do the exponents first. That's why I actually put a parentheses around the three squared
to just make that clear. And three squared is,
of course, equal to nine and five times nine is equal to 45. Let's do another example
that's a little bit different. Let's say I have the expression 1/3 times six to the x power, and I want to evaluate it
when x is equal to two. Pause the video again and
see if you can work that out. Well, once again, everywhere
where we see an x, we'll replace that with a two. So this is going to be the same thing as 1/3 times six squared. Where we saw the x, we now
replace that with a two. And so this is going to be equal to, we do the exponent first,
order of operations, so it's going to be 1/3 times six squared is 36, and 1/3 of 36 is equal to 12. And we're done!