Literal Equations and Formulas

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Literal Equations and Formulas - PowerPoint PPT Presentation

Literal Equations and Formulas. Literal Equations. A literal equation is an equation that involves two or more variables. Formulas. A formula is a literal equation that states a rule for a relationship among quantities. The formula relates degrees Fahrenheit to degrees Celsius.

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Presentation Transcript

Literal EquationsandFormulas

Literal Equations

A literal equation is an equation that involves two or more variables.

Formulas

A formula is a literal equation that states a rule for a relationship among quantities.

The formula relates degrees Fahrenheit

to degrees Celsius.

The variables in a formula are often related to the names of the quantities involves, such as F for Fahrenheit.

When working with formulas, the values for one or more of the variables sometimes known, leaving the value of one variable to be determined. You can use the temperature conversion formula to easily convert from degrees Fahrenheit to degrees Celsius.

Area = Length x Width

Solve for length.

Solve for width.

The equation of a line is

Solve the equationfor.

• Given
• Isolate the term with the variable
• you want to solve for: Subtract
• from both sides of the equation.
• Solution.

The equation of a line is

Solve the equationfor.

• Given
• Isolate the term with the variable
• you want to solve for: Subtract b
• from both sides of the equation.
• Divide by the coefficient.
• Solution.

The equation of a line is

Solve the equationfor.

• Given
• Isolate the term with the variable
• you want to solve for: Subtract b
• from both sides of the equation.
• Divide by the coefficient.
• Solution.

Solve the equation for.

• Given
• Isolate the term with the variable
• you are solving for; Subtract
• from both sides of the equation.
• Solution.

Solve the equation for.

• Given
• Isolate the variable you are solving
• for; Subtract y from both sides
• of the equation.
• Divide by the coefficient.
• Solution.

Solve the equation for.

• Given
• Change the order of the
• factors so that the variable
• you are solving for is last.
• Divide by the “coefficient”.
• Solution.

Solve the equation for.

• Given
• Multiply both sides of the
• equation by .
• Divide by the “coefficient”.
• Solution.

Solve the equation for.

• Given
• Isolate the variable you are
• solving for; Subtract from
• both sides of the equation.
• Divide by the coefficient.
• Solution…ALMOST DONE!

Is the equation in simplest form?

NO!  … can be simplified!

• Divide each term by the
• denominator and simplify
• where possible.
• Solution…In simplest form !

Solve the equation for.

DISTRIBUTE…………OR DIVIDE

NEEDS TO BE SIMPLIFED!

=

DOES NOT NEED TO BE SIMPLIFED!

What happens when the variable you want

to solve for is in more than one term?

Solve the equation for.

??????????????????

Solve the equation for.

FACTOR out the “x”

FACTORING is reverse Distributive Property!

When do you need to factor?

When the variable you are solving for occurs in more than one term or in a numerator and/or denominator.

Don’t forget the “F” word !!!!!!!

Solve the equation for.

• Given
• Factor out the variable
• you are solving for.
• Divide by the “coefficient”.
• Solution.

Solve the equation for.

• Given
• Factor out the variable
• you are solving for.
• Divide by the “coefficient”.
• Solution.

What if

the variable you are solving for is

in the denominator?

Solve the equation for.

Solve the equation for.

WHAT IS THE LCD?

• Given
• Multiply the equation by
• the LCD.
• Remember the LCD is multiplied by the numerator!
• Simplify

The fractions have

• been eliminated!.
• Move the variable you are solving for to one side of
• the equation. (Not necessary)
• Factor.
• Divide by the “coefficient”.
• Solution.

What if

the variable you are solving for is

in the numerator

and

in the denominator?

Solve the equation for.

Solve the equation for.

• Given
• Multiply the equation by
• the LCD.
• Simplify
• Distribute

Move the terms with the

• variable you are solving for
• to one side of the equation.

)

• Factor.
• Divide by the “coefficient”.
• Solution.

PRACTICE PROBLEMS:

Solve for the variable highlighted in red.

MORE PRACTICE PROBLEMS:

Solve for the variable highlighted in red.

STILL MORE PRACTICE PROBLEMS:

Solve for the variable highlighted in red.

Solve the equation for.

• Given
• Factor out the variable
• you are solving for.
• Divide by the “coefficient”.
• Solution.