Linear equations are equations that represent straight lines on a graph. They are in the form of *y = mx + b* where *m* is the slope and *b* is the y-intercept. The goal in solving linear equations is to find the value of the variable that makes the equation true.

**Distribute (if necessary):**If there are parentheses in the equation, use the distributive property to remove them.**Combine Like Terms:**Combine any like terms on the same side of the equation.**Isolate the Variable:**Use inverse operations to get the variable on one side of the equation.**Simplify:**Perform any necessary operations to simplify the equation.**Check Your Answer:**Substitute the solution back into the original equation to ensure it satisfies the equation.

Solve for *x* in the equation *2x + 5 = 15*.

Step 1: Subtract 5 from both sides to isolate *x*.

Step 2: Divide both sides by 2 to solve for *x*.

Step 3: Check the solution by substituting *x = 5* back into the original equation.

- Solve for
*y*in the equation*3y - 7 = 14*. - Solve for
*a*in the equation*2(a + 4) = 18*. - Solve for
*m*in the equation*5m - 3 = 22*.

Remember, practice is key to mastering linear equations. The more you practice, the better you will become at solving them.

Good luck!

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Study GuideSolving linear equations Worksheet/Answer key

Solving linear equations Worksheet/Answer key

Solving linear equations Worksheet/Answer key

Solving linear equations Worksheet/Answer keySolving linear equations Worksheet/Answer keySolving linear equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships.