Bell Quiz

Objectives Solve for one variable in equations with multiple variables.

Solving Literal Equations Recall when solving an equation with one variable: Inverse operations are used to isolate the variable as shown below.

Solving Literal Equations A Literal Equation is an equation with more than one variable. As in an equation with one variable, Use inverse operations and properties of equalities to solve for a specific variable in a literal equation. The solution for the specific variable will be in the terms of the other variables and numbers.

Example 1 Solving for a Variable Solve for y. 2x + 3y = 10

Lesson Practice Solve for n. 3m + 2n = 8

Solving Literal Equations If the variable being solved for is on both sides of the equation, the first step is to: Eliminate the variable on one side or the other.

Example 2 Solving with Variables on Both Sides Solve 8x + 20 = 30 + 6x

Example 3 Solving for Variables on Both Sides Solve for p 4p + 2a – 5 = 6a + p

Lesson Practice Solve for x 3x + 2y = 8 + x

Solving Literal Equations A formula is a type of literal equation. Use inverse operations to isolate any variable in the formula.

Example 4 Solving a Formula for a Variable C = 5 (F – 32) 9

Example 5 Application: Geometry  

Lesson Practice The Ramirez family is taking a trip to the coast. They live 270 miles from the coast. They want to make the trip in 4 ½ hours. Use the distance formula d = rt to determine the average speed the family needs to drive.

Lesson Practice .

Lesson Practice