Literal Equations and Formulas

Learn and apply literal equations and formulas using equations, examples, and interpretation.

Lesson 4 of 53 parts Practice Flashcards

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Isolating a Symbol

Objective: Explain and use isolating a symbol in an Algebra 1 problem.

A literal equation uses several symbols; solve for one by applying inverse operations while treating other symbols as fixed quantities. That the divisor is nonzero.

Worked examples

Try itExample 1.1: If A=4w+17 and A=37, find w.Show answer

5. Subtract 17 from A and divide by 4. The answer is 5.

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Isolating a Symbol

Objective: Explain and use isolating a symbol in an Algebra 1 problem.

A literal equation uses several symbols; solve for one by applying inverse operations while treating other symbols as fixed quantities. That the divisor is nonzero.

Worked examples

Try itExample 1.1: If A=4w+17 and A=37, find w.Show answer

5. Subtract 17 from A and divide by 4. The answer is 5.

Units in Formulas

Objective: Explain and use units in formulas in an Algebra 1 problem.

A formula links measured quantities; rearrangements preserve the relationship, and compatible units help check the result. To interpret its value and units correctly.

Worked examples

Try itExample 2.1: If A=2w+27 and A=43, find w.Show answer

8. Subtract 27 from A and divide by 2. The answer is 8.

Formula Substitution

Objective: Explain and use formula substitution in an Algebra 1 problem.

After isolating the desired symbol, substitute given values and check the result in the original formula and context. It verifies the rearrangement and arithmetic.

Worked examples

Try itExample 3.1: If A=3w+37 and A=70, find w.Show answer

11. Subtract 37 from A and divide by 3. The answer is 11.

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