Algebra 1 - Lesson Literal Equations Intro.

Algebra 1 - Lesson Literal Equations Intro.

by Scott Madeoy

​Distribute.

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Simplify.

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Solve for x. (Remember, What is the same as adding a negative?)

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Solve.

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Quiz

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​1. Distribution 4540 9070

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​2. Solving One-Step Equations 1690 0910

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Multiple Choice

What first step would you do to get x by itself?

$$-3x=6$$  

• Divide both sides by -3

• Multiply both sides by -3

• Add -3 to both sides

• Subtract -3 from both sides

Open Ended

What first step would you do to get x by itself? $$\frac{x}{7}=-2$$  

​To calculate the distance a car travels we could use the following equation:

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Multiple Choice

Mr. Madeoy drives his race car for 4 hrs at 150 miles/hr. How far will he travel?

(Remember,  $$d=s\cdot t$$  )

• 300 miles

• 150 miles

• 400 miles

• 600 miles

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​What if you wanted to calculate the speed instead of the distance? s = ?

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​What would that equation be? In other words, what if you wanted the equation to have s by itself instead of d, what would we need to be removed to get s by itself?

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​To get s by itself, t needs to be removed. We would undo multiplying by t by dividing by t.

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​The result is:

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​Example.

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​Solve for x.

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​Example.

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​Solve for x.

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​Answer:

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Multiple Choice

Solve the formula for r.  

What is the 1st step?

• Divide each side by t. 

• Subtract t from each side. 

• Add t to each side. 

• Multiply each side by t. 

Multiple Choice

Solve for m.

$$m-n=5$$  

• m = 5 + n

• m = -5 - n

• m = -5 + n

• m = 5 - n

Multiple Choice

Solve for W.

A = LW

• $$W=A-L$$  

• $$W=\frac{L}{A}$$  

• $$W=A$$  

• $$W=\frac{A}{L}$$  

​Example.

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​Solve for x.

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​If letters and numbers are multiplied, then you can treat them as if they are one number.

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​In the equation above, we do not need to split up 2y. We can just subtract it from both sides.

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​Solve for x.

​Solve for x.

Multiple Choice

$$abc=d$$  Solve for a:

• $$a=bcd$$  

• $$a=\frac{bc}{d}$$  

• $$a=\frac{c}{bd}$$  

• $$a=\frac{d}{bc}$$