1.5 Day 2 Solving Literal Equations Lesson

6 Slides • 5 Questions

1

Solving Literal

Equations

1.5 Day 2

2

Learning target

Student will be able to…

●Solve literal equations.

●Use literal equations to model real-life problems.

3

Multiple Choice

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

1

$b=\frac{A}{h}$

2

$b=\frac{h}{A}$

3

$h=\frac{A}{b}$

4

$A=\frac{b}{h}$

4

Multiple Choice

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

1

$y=2x-5$

2

$y=-2x-5$

3

$y=2x+5$

4

$y=-2x+5$

5

Multiple Choice

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

1

$b=2Ah$

2

$b=\frac{Ah}{2}$

3

$b=\frac{2A}{h}$

4

$b=\frac{A}{2h}$

6

Multiple Choice

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

1

$C=\frac{5}{9}\left(F-32\right)$

2

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

3

$C=\frac{5}{9}F-32$

4

$C=\frac{9}{5}\left(F-32\right)$

7

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)

8

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.

9

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?

10

Multiple Choice

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

1

$x=\frac{y}{3b-7}$

2

$x=-y\left(3b-7\right)$

3

$x=y\left(3b-7\right)$

4

$x=\frac{3b-7}{y}$

11

Exit ticket

Solve for x: y=3bx-7x

Solving Literal

Equations

1.5 Day 2

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