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Home > Math Worksheets > Algebra Worksheets > Solving Equations

## Get Free Worksheets In Your Inbox!

Learn how to determine the value of a variable in an equation. Example: x + 1 = 9

## Solve for X Worksheet 1

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Remember that two negative values form a positive product. Example: 54 = -6x

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Your primary goal should be to get your variables and constants together. Example: 2x + 9 = 9x - 271

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The parentheses start to complicate things a bit here for you. Example: y - (2y+3) = 3(1 - 2y) - 6

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## Solve Them Do Now

## How to Solve an Algebraic Equation

Now try solving the following equation.

## What are Algebraic Equations?

## How to Solve an Algebraic Equation?

## 1. Single Variable Equations

The first kind is pretty simple, and the answer lies within the question.

Here, the solution to the algebraic question is hidden in the question. The answer is "x=2."

However, consider the second example below.

What we need to prioritize here is to bring x to one side. However, we cannot simply take it there.

We are left with the following solution.

However, this means we also need to divide the right side by 2.

Much better! Now, all we need to do is calculate the results.

## 2. Double Variable Equations

## Final Thoughts

How to solve an algebraic equation?

Isolate the x, and remember to apply everything on both sides!

## How to Keep Your Equation Solving Skills Sharp

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## Algebra in Everyday Life

We use algebra quite frequently in our everyday lives, and without even realizing it! We not only use algebra, we actually need algebra, to solve most of our problems that involves calculations.

## Examples of using algebra in everyday life

Here are some simple examples that demonstrate the relevance of algebra in the real world.

## Going shopping

`(text(10 items))/(text (3 items/bag))` = `3.33` bags ≈ `4 bags `, explanation :.

We use simple algebraic formula `x/y` to calculate the number of bags.

x = Number of items purchased = 10

`10/3` = `3.33` bags ≈ `4` bags

So,we need 4 shopping bags to put 10 items.

## Calculating grocery expense

The figure below shows the three items in different shapes and colors.

This will help your mind to calculate faster.

We will use algebra to solve the problem easily and quickly.

a = Price of two dozen eggs = $10

c = Price of one bottle of juice= $8

=> Money needed = $10 + 3($5) + 5($8) = $10 + $15 + $40 = $65

## Filling up the gas tank

We use simple algebraic formula,`x/y` to calculate the total gallons that can be bought.

y = Price of 1 gallon of gas= $3

So, with $15 we can buy 5 gallons of gas.

## Word problems

## Find three consecutive numbers whose sum is 216.

The task is to find three consecutive numbers whose total is 216.

Let "`x`" represent the first number

When you add up all the numbers, you are supposed to get 216

First number + Second number + Third number = 216

So the three numbers whose sum is 216 are 71, 72 and 73

## A group of 5 boys goes to the theatre for an evening show. The total cost of ticket is $55 and popcorn is $25. What is the cost per person?

Let’s say, `x` = cost of ticket/person and `y` = cost of popcorn/person

If 5 tickets cost $55, then cost of one ticket is,

If 5 bags of popcorn cost $25, then the cost of each bag is,

Total cost of the movie (ticket + popcorn) per person = `x + y `

Cost of ticket/person + Cost of popcorn/person = Total cost

If we add up 16 five times (since there are 5 boys), the result is,

## The area of a rectangle is 72`cm^2`, in which the width is twice its length. What is the dimension of the rectangle?

the length is 6 cm and the width is 12 cm.

Let "`x`" be the length and "`2x`" be the width

The length is 6 cm and width is 12 cm

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## ☛ Check Grade wise Algebra Word Problems Worksheets

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Literal equation worksheets help to hone the skills like rearranging the literal equations, rearrange and evaluate, word problems containing real-life

This compilation of a meticulously drafted equation word problems worksheets is designed to get students to write and solve a variety of one-step

Solve It! is an activity out of a unit called Solving Algebra and Pattern Problems. Students use simple equations to solve word problems

Students should have prior knowledge of solving one-step equations. This worksheet is a great resource for guided notes. Students could

Solving linear equations is much more fun with a two pan balance, some mystery bags ... things from everyday life that are commutative and noncommutative.

Free worksheets where you will practice writing & solving equations that match real world situations. Include two step equations and combining like terms.

This is one of the key skills in algebra. If you are good at it, it will serve you well in College and even the real world on a daily basis. Solving equations

We use algebra quite frequently in our everyday lives, and without even ... the form of math equations, and if we know the math, it's fairly simple to solve

Create printable worksheets for solving linear equations (pre-algebra or algebra 1), as PDF or html files. Customize the worksheets to include one-step

We use algebra in our everyday life without even realising it. Solving algebraic word problems worksheets help kids relate and understand the relevance of