1.5 Day 2 Solving Literal Equations

Solving Literal

Equations

1.5 Day 2

Learning target

Student will be able to…

●Solve literal equations.

●Use literal equations to model real-life problems.

Multiple Choice

$$A=bh,\ solve\ for\ b$$

• $$b=\frac{A}{h}$$

• $$b=\frac{h}{A}$$

• $$h=\frac{A}{b}$$

• $$A=\frac{b}{h}$$

Multiple Choice

$$2x+y=-5,\ solve\ for\ y$$

• $$y=2x-5$$

• $$y=-2x-5$$

• $$y=2x+5$$

• $$y=-2x+5$$

Multiple Choice

$$A=\frac{1}{2}bh,\ solve\ for\ b$$

• $$b=2Ah$$

• $$b=\frac{Ah}{2}$$

• $$b=\frac{2A}{h}$$

• $$b=\frac{A}{2h}$$

Multiple Choice

$$F=\frac{9}{5}C+32,\ solve\ for\ C$$

• $$C=\frac{5}{9}\left(F-32\right)$$

• $$C=\frac{9}{5}F+32$$

• $$C=\frac{5}{9}F-32$$

• $$C=\frac{9}{5}\left(F-32\right)$$

Example 1:

You deposit $5,000 in an account that earns simple interest. After 6 months, the account earns $162.50 in interest. What is the annual interest rate?
(Simple interest formula: I=Prt)

Example 2

The penny size of a nail indicates the length of the nail. The penny size d is given by
the literal equation d=4n-2, where n is the length (in inches) of the nail.

a.

Solve the equation for n

b.

Use the equation from part (a) to find the lengths of nails with the following
penny sizes: 3, 6, and 10.

Example 3

The total cost C (in dollars) to participate in a ski club is given by the
literal equation C=85x+60, where x is the number ski trips you take.

a.

Solve the equation for x.

b.

How many ski trips do you take if you spend a total of $315?
$485?

Multiple Choice

Solve x: $$y=3bx-7x$$

• $$x=\frac{y}{3b-7}$$

• $$x=-y\left(3b-7\right)$$

• $$x=y\left(3b-7\right)$$

• $$x=\frac{3b-7}{y}$$

Exit ticket

Solve for x: y=3bx-7x