# What are variables in algebra?

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##### Intros

###### Lessons

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##### Examples

###### Lessons

**Unknowns in addition or subtraction equations**

Draw the missing circles in the unknown box. Write the missing number in the equation.**Unknowns in multiplication or division equations**

Finish drawing the circles to solve the equation. Trace around the circles to make equal groups.**Writing equations with variables for addition or subtraction**

Write the equation with variables for the phrase:**Writing equations with variables for multiplication or division**

Write the equation with variables for the phrase:**Equations with variables: word problems**

Write the equation for the word problem. Use the variable $x$ for the unknown value.- Allie picked 9 strawberries and Troye picked 8 strawberries. How many strawberries did they pick in total?
- Brian got 24 on the quiz. Ellie got 2 points less than Brian. How many points did Ellie get on her quiz?
- For which case should you use multiplication or division?
- There are 5 red apples. There are 2 times as many green apples as red apples. How many green apples are there?
- There are 8 red apples. There are 2 times as many red apples as green apples. How many green apples are there?

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###### Topic Notes

In this lesson, we will learn:

- The parts of a math equation for all four operations: addition, subtraction, multiplication, division
- How to do basic algebra: solving for unknowns (variables) in equations
- How to write algebra equations from word sentences by using equation models to help

__Notes:__- A math
**equation**can be thought of as a mathematical*sentence*which needs**terms**, an**operation**and an**answer**

- An
**unknown**is a value that we don't know in an equation yet; we need toto find the unknown through__solve the equation__*guess-and-check*(knowing that values must be equal on both sides of the equal sign)

**Algebra**is a type of math where we will see BOTH numbers and**letters**(or**symbols**)!- We use
**variables**(letters or symbols) to represent unknown values:

**Equation models**help identify all the terms when you're dealing with word sentences so that you can__write an algebra equation__

- i.e. "36 added to 41 equals $y$." $\,$→$\,$36 + 41 = $y$
- i.e. "15 less than $f$ equals 13." $\,$→$\,$$f$ - 15 = 13
- i.e. "2 times as many as 7 is $m$." $\,$→$\,$2 × 7 = $m$
- i.e. "$x$ is 3 times less than 15" $\,$→$\,$$x$ = 15 ÷ 13

- Keywords (key phrases) for each operation include:
- Addition: "added to", "more than", "increased by"
- Subtraction: "subtracted from", "less than", "decreased by"
- Multiplication: "multiplied by", "times", "times as many", "each", "groups"
- Division: "divided by", "times as many", "split into groups"

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