Equations are mathematical statements that show the equality of two expressions. Solving equations involves finding the value of the variable that makes the equation true. There are various methods to solve different types of equations, such as linear equations, quadratic equations, and more. Here, we will focus on solving linear equations.

A linear equation is an equation of the form *y = mx + b*, where *m* and *b* are constants and *x* is the variable. To solve a linear equation, we need to isolate the variable *x* on one side of the equation.

**Combine Like Terms:**Simplify both sides of the equation by combining like terms.**Isolate the Variable:**Use inverse operations (addition, subtraction, multiplication, division) to isolate the variable on one side of the equation.**Check Your Answer:**Always check your solution by plugging it back into the original equation to ensure it satisfies the equation.

Solve the equation: *3x - 5 = 7*

Step 1: Combine Like Terms

3x - 5 + 5 = 7 + 5

3x = 12

Step 2: Isolate the Variable

3x / 3 = 12 / 3

x = 4

Step 3: Check Your Answer

3(4) - 5 = 7

12 - 5 = 7

7 = 7 (True)

Therefore, the solution is *x = 4*.

1. Solve the equation: *2x + 3 = 11*

2. Solve the equation: *4(x - 2) = 20*

3. Solve the equation: *5 + 2y = 3y - 1*

Remember to always follow the steps for solving linear equations and check your answers to ensure accuracy!

Good luck with your practice!

.Study GuideNumbers and percents Worksheet/Answer key

Numbers and percents Worksheet/Answer key

Numbers and percents Worksheet/Answer key

Numbers and percents

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Understand and use ratios and proportions to represent quantitative relationships.

Compute fluently and make reasonable estimates.

Develop, analyze, and explain methods for solving problems involving proportions, such as scaling and finding equivalent ratios.