Chapter 1.5 Rewriting Equations and Formulas

Front

Solve for v: C = xv + x

Back

v = \frac{C - x}{x}

Front

Solve for y: 8x + 4y = 16

Back

y = -2x + 4

Front

Given mx + 4y = 3t, solve for x.

Back

x = \frac{3t - 4y}{m}

Front

Solve for A: W = \frac{A}{L}

Back

A = LW

Front

Given V = lwh, solve for l.

Back

l = \frac{V}{wh}

Front

Definition: Rewriting an equation

Back

The process of manipulating an equation to isolate a variable.

Front

Key Principle: Isolating a variable

Back

To isolate a variable, perform inverse operations on both sides of the equation.

Front

Example: Solve for x in 2x + 3 = 7

Back

x = 2

Front

Definition: Formula

Back

A mathematical relationship expressed in symbols.

Front

Key Concept: Inverse operations

Back

Operations that reverse the effect of another operation (e.g., addition and subtraction).