# What are the steps when solving for a variable in an equation?

## What are the steps when solving for a variable in an equation?

Step 1: Simplify each side, if needed.

• Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.
• Step 3: Use Mult./Div.
• I find this is the quickest and easiest way to approach linear equations.
• Example 6: Solve for the variable.
• What are the 4 steps in 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 are two basic rules for solving algebraic equations?

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.

What is the golden rule for solving equations?

Do unto one side of the equation, what you do to the other! An equation is like a balance scale. If we put something on, or take something off of one side, the scale (or equation) is unbalanced. When solving math equations, we must always keep the ‘scale’ (or equation) balanced so that both sides are ALWAYS equal.

#### What are the 4 basic rules of algebra?

They are:

• Commutative Rule of Multiplication.
• Associative Rule of Multiplication.
• Distributive Rule of Multiplication.

What is the golden rule of solving equations?

## What is the golden rule for two step equations?

Golden Rule to Solve Two Step Equations To isolate the variable on one side of the equation to determine its value, we first add or subtract on both sides of the equation and then multiply or divide on both sides to get the final solution to the two step equation.

What are 2 step equations?

A two-step equation is an algebraic equation that takes you two steps to solve. You’ve solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

### What are the 3 rules of algebra?

There are many laws which govern the order in which you perform operations in arithmetic and in algebra. The three most widely discussed are the Commutative, Associative, and Distributive Laws. Over the years, people have found that when we add or multiply, the order of the numbers will not affect the outcome.

What is the order of operations in an equation?

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

#### Which is an example of solving a one step equation?

Example 1: Solve the one-step equation. +9 +9. Since the variable is already on the left side, let’s just keep it there. -3 −3.

How to make a general rule for solving an equation?

A General Rule for Solving Equations 1 Simplify each side of the equation by removing parentheses and combining like terms. 2 Use addition or subtraction to isolate the variable term on one side of the equation. 3 Use multiplication or division to solve for the variable.

## Which is the correct way to solve the equation 7 Z?

Step 2. Use subtraction to isolate the variable term on the left side of the equation. Subtract 4 from each side of the equation. Step 3. Use division to solve for the variable. Divide each side of the equation by 4. The solution to 7 z – (3 z – 4) = 12 is z = 2.

What’s the procedure for solving an algebraic equation?

The procedure for solving algebraic equations is as follows: Put all of the unknown variables (x) on the left side of the equal sign (=) Put all of the constants or known numbers on the right side of the equal sign (=)