Download Lesson 29

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 = (F – 32)
5
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
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Lesson Practice