Solving Literal Equations

Warm up

Reorder

Justify the steps in solving the following equation:  $$\frac{2}{5}x+6=10$$
Reorder the following

• subtract 6 from both sides

• multiply both sides by 5

• divide both sides by 2

1

2

3

• 1
• 2
• 3

Vocabulary

Categorize

Options (6)

$$d=a$$  

$$A=\frac{1}{2}bh$$  

$$m+n=3p$$  

$$-4x=20$$  

$$10=\frac{1}{3}\left(y-6\right)$$  

$$n+5=2n-14$$  

Which are examples and non-examples of literal equations.

Organize these options into the right categories

Example

Non-example

Your Turn

Multiple Choice

Solve for g.

$$s=\frac{1}{2}gt^2$$

• $$g=\frac{2s}{t^2}$$

• $$g=\frac{st^2}{2}$$

• $$g=2st^2$$

• $$g=\frac{1}{2}t^2$$

Multiple Choice

Solve for R.

$$\frac{R}{a}-5=b$$

• $$R=a\left(b+5\right)$$

• $$R=\frac{b}{a}-5$$

• $$R=ab+5$$

• $$R=\frac{a}{b}+5$$

Multiple Choice

Solve for the indicated variable.

If there is $1500 invested is in a bank account after 4 years simple interest, the A is the amount of money in the account in 4 years is given by A = 1500(1 + r(4)). 

What is r in terms of A?

• $$r=\frac{\frac{A}{1500}-1}{4}$$

• $$r=\text{4}(A-1500)$$

• $$r=\frac{A\ +1500}{4}$$

• $$r=\frac{A-1500}{4}$$

Exit Ticket

Drag and Drop

Solve for x:

2/5 (x + 1) = g



x = ​

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Drag and Drop

Solve for the indicated variable.

A = 1/2 h (b₁ + b₂) for h.

h = ​ ​

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If $2000 is in a bank account earning 15% simple interest, the dollar value of the account A in t years is given by A = 2000(1 + 0.15t).What is t in terms of A?

t =​

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