SOLVING LINEAR EQUATIONS.

Recall the following:

• A linear equation is a polynomial of degree 1.

• In order to solve for the unknown variable, you must isolate the variable.

• In the order of operations, multiplication and division are completed before addition and subtraction.

  LINEAR EQUATION - Solve for x in the following equation.

Problem 2a:

Answer:

Solution: Subtract 7 from both sides of the equation:

Divide both sides by 2:

Check: Substitute -2 for x in the original equation. If the left side equals the right side after the substitution, your answer is correct.

Problem 2b:

Answer:

Solution: Add 3 to both sides of the equation:

Divide both sides by 3:

Check: Substitute for x in the original equation. If the left side equals the right side after the substitution, your answer is correct.

Problem 2c:

Answer:

Solution: Add 17 to both sides of the equation:

Divide both sides by 5:

Check: Substitute 4 for x in the original equation. If the left side equals the right side after the substitution, your answer is correct.

Problem 2d:

Answer:

Solution: Subtract 5 from both sides of the equation:

Divide both sides by 10:

Check: Substitute for x in the original equation. If the left side equals the right side after the substitution, your answer is correct.

Problem 2e:

Answer:

Solution: Add to both sides of the equation:

Divide both sides by 4:

Check: Substitute for x in the original equation. If the left side equals the right side after the substitution, your answer is correct.

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