An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=). The goal in solving an equation is to find the value of the variable that makes the equation true.

A linear equation is an equation in which the highest power of the variable is 1. Its general form is *y = mx + b*, where *y* is the dependent variable, *x* is the independent variable, *m* is the slope, and *b* is the y-intercept.

A quadratic equation is an equation in which the highest power of the variable is 2. Its general form is *ax ^{2} + bx + c = 0*, where

To solve an equation, you perform operations on both sides of the equation to isolate the variable. The goal is to get the variable on one side of the equation and the constants on the other side. The operations include addition, subtraction, multiplication, division, and taking square roots.

A system of equations is a set of two or more equations with the same variables. The solution to a system of equations is the values of the variables that satisfy all the equations simultaneously.

Understanding equations and how to solve them is fundamental in mathematics and has many real-world applications in fields such as physics, engineering, economics, and more.

.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.