What is a solution to an algebraic equation?

The solution of an algebraic equation is the process of finding a number or set of numbers that, if substituted for the variables in the equation, reduce it to an identity. Such a number is called a root of the equation.

How do you find the solution of an equation?

Determine whether a number is a solution to an equation.

• Substitute the number for the variable in the equation.
• Simplify the expressions on both sides of the equation.
• Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.

How do you solve algebra problems?

Let’s start by listing the steps to solve an algebraic word problem:

1. Read the problem and decide what “x” represents. This is the easy part.
2. Define all other variables described in the problem in terms of x.
3. Write an equation that puts all of the numbers together.
4. Solve the equation.

What are the 4 steps to solving an equation?

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.

What must an equation have?

An equation is written as two expressions, connected by an equals sign (“=”). The expressions on the two sides of the equals sign are called the “left-hand side” and “right-hand side” of the equation.

How do you teach kids to solve equations?

Helpful Tips

1. Draw a line to separate the two sides of the equation.
2. Do Undo Line – this is another strategy that can help students.
3. Color-coding to help with combining like terms.
4. Making sure to actually say (and make students say), “2 times x equals 5” as opposed to “2x = 5.”

What are examples of solving equations?

Example 1: solving x -3= 0 for x gives the solution x = 3

What are the rules for solving equations?

Solve equations and simplify expressions. In algebra 1 we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule. The addition rule for equations tells us that the same quantity can be added to both sides of an equation without changing the solution set of the equation.

How do you solve equations step by step?

Solving Linear Equations. Step 1. Clear fractions or decimals. Step 2. Simplify each side of the equation by removing parentheses and combining like terms. Step 3. Isolate the variable term on one side of the equation. Step 4. Solve the equation by dividing each side of the equation.

How do you do algebraic equations?

Solve a two step equation by multiplying at the end instead of dividing. The principle for solving this type of equation is the same: use arithmetic to combine the constants, isolate the variable term, and then isolate the variable without the term. Let’s say you’re working with the equation x/5 + 7 = -3.