Curriculum placement
Algebra 1. This describes the skill, not a learner estimate.
Rearranging a formula
Rearrange formulas to isolate a chosen variable
Problem types
- Solve a formula for a variable
- Use a rearranged formula
- Rearrange a nonlinear formula
- Solve a formula with a sum of terms for one variable
- Solve a formula for a variable and justify each step
Builds on
- Linear equations with variables on both sides
- Reading a numerical expression · Useful idea
Evaluating a formula by substituting numbers follows the order of operations.
- Missing factors and quotients · Earlier idea
An unknown factor is found by dividing the product by the other factor. Solving a formula for one variable divides by the other factors in the same way.
Leads to
- Linear equations with letter coefficients · Extend the idea
Solving a formula for one variable extends to solving equations whose coefficients are letters.
- Finding an inverse function · See it applied
Solving y = f(x) for x gives the formula for the inverse function.
- Logarithms as inverses of exponentials · See it applied
Solving an exponential formula for the exponent rewrites it as a logarithm.
Related skills
- Why each equation step is valid · Shared foundations
- A graph as the solution set · Shared foundations
- Linear equations from constraints · Shared foundations
- Systems of linear equations · Shared foundations
- Rational equations with one denominator · Shared foundations
Open the interactive map to explore lessons and skill connections.