solve literal equations (formulas) for a specified variable. SOL: A.1

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solve literal equations (formulas) for a specified variable. SOL: A.1 - PowerPoint PPT Presentation

Objective The student will be able to:. solve literal equations (formulas) for a specified variable. SOL: A.1. Designed by Skip Tyler, Varina High School. Answer Now. 1) Solve 2x - 4y = 7 for x To get x by itself, what is the first step?. Add 2x Subtract 2x Add 4y Subtract 4y.

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ObjectiveThe student will be able to:

solve literal equations (formulas) for a specified variable.

SOL: A.1

Designed by Skip Tyler, Varina High School

• Subtract 2x
• Subtract 4y

What is the first thing we are doing to x?

What is the second thing?

1) Solve 2x - 4y = 7 for xUse a DO-UNDO chart to help determine the steps

DO UNDO

· 2

-4y

Follow the steps in the ‘undo’ column to isolate the variable.

+4y

÷ 2

Complete the undo column by writing the opposite operations in opposite order.

D U

1) Solve 2x - 4y = 7 for x

· 2

-4y

+4y

÷ 2

+ 4y + 4y

2x = 7 + 4y

2 2

• Draw “the river”
• Add 4y to both sides
• Simplify
• Divide both sides by 2
• Does it simplify?

This fraction cannot be simplified because both terms in the numerator are not divisible by 2.

• Subtract 2x
• Subtract 4y

D U

2) Solve 2x - 4y = 7 for y

· -4

+2x

-2x

÷ -4

- 2x - 2x

-4y = 7 - 2x

-4 -4

• Draw “the river”
• Subtract 2x from both sides
• Simplify
• Divide both sides by -4
• Does it simplify?

Nope!

3) Solve for y.What is the first step?
• Multiply by 3
• Divide by 3
• Subtract a

D U

3) Solve for y:

+ a

÷ 3

· 3

- a

• Draw “the river”
• Clear the fraction – multiply both sides by 3
• Simplify
• Subtract a from both sides
• Simplify

y + a = 3c

-a -a

y = 3c - a

4) Solve for y: 4x – 2y = 12
• -4x + 12
• 4x - 12
• -2x + 6
• 2x - 6

D U

4) Solve for y: 4x – 2y = 12

· -2

+ 4x

- 4x

÷ -2

- 4x - 4x

-2y = 12 – 4x

-2 -2

y = -6 + 2x

or y = 2x - 6

• Draw “the river”
• Subtract 4x from both sides
• Simplify
• Divide both sides by -2
• Does it simplify?

Yes!