Rewriting Literal Equations Word Problems

Literal Equations

Equations with multiple variables

Multiple Choice

A-B = C

(solve for A)

• A = C - B

• A = C + B

• A - C = B

• B = A - C

Solve for r

• rt means r times t (multiplication)

• Opposite (inverse operation) is division

• Divide both sides by t

Multiple Choice

$$g\ =\ 6x\ \ \ solve\ for\ x$$  

• $$x\ =\ \frac{g}{6\ }$$  

• $$x\ =\ \frac{6}{g}$$  

• $$x\ =\ g+6$$  

• $$x\ =\ g-6$$  

Open Ended

How do you think I could get y by itself?

Getting y by itself

• kx go together so they are one term

• kx is being added

• The opposite of addition is subtraction

• Subtract kx from both sides

Open Ended

What is the first step to get x by itself?

Multiple Choice

How can we get x by itself?

• Add k

• Subtract k

• Multiply by k

• Divide by k

Multiple Choice

2h = w-3p

(solve for p)

• p = (2h - w) / -3

• p = (2h - w) / 3

• p = -6hw

• p = -6h - 3w

Multiple Choice

Solve for v

C = xv + x

• (C-x)/x = v

• (C+x)/x = v

• (-C-x)/x = v

• (Cx)/x = v

Multiple Choice

ax + c = R
(solve for x) 

• ax = R + c
• ax = R - c
• x = a(R-c)
• x = (R-c) / a 

Equations with Parentheses - Solve for h

Multiple Choice

What is the next step t get h by itself?

• Add R

• Subtract R

• Multiply by R

• Divide by R

Multiple Choice

IR = V

(solve for R)

Watch video for help on example!

Solve the problem on a piece of paper / notebook.

• R = IV

• R = I/V

• R = V/I

• R = V - I

Multiple Choice

Solve for n

• A

• B

• C

• D

Multiple Choice

Solve for x:  $$\frac{x}{y}=z$$  

• y=xz

• x=zy

• x=z-y

• x=z+y

Multiple Choice

$$w=em+y$$  Solve for y

• $$y=w-em$$  

• $$y=w+em$$  

• $$y=\frac{w}{em}$$  

• $$y=wem$$  

Multiple Choice

$$V=lwh$$  solve for h

• $$h=Vlw$$  

• $$h=\frac{l}{Vw}$$  

• $$h=\frac{V}{lw}$$  

• $$h=\frac{w}{lV}$$  

Multiple Choice

$$am+xy=c$$  solve for y

• $$y=\frac{c-am}{x}$$  

• $$y=\frac{c+am}{x}$$  

• $$y=c-amx$$  

• $$y=\frac{c-x}{am}$$  

Multiple Choice

$$p=ax+g$$  Solve for x

• $$x=ap+g$$  

• $$x=\frac{p-g}{a}$$  

• $$x=\frac{p+g}{a}$$  

• $$x=ap-g$$  

Multiple Choice

ax + c = R

(solve for x)

Watch video for help on example!

Solve the problem on a piece of paper / notebook.

• ax = R + c

• ax = R - c

• x = a(R-c)

• x = (R-c) / a

Multiple Choice

F = (GMm) / r²

(solve for G)

Solve the problem on a piece of paper / notebook.

• G = (Fr²) / (Mm)

• G = FMmr²

• Fr² = GMm

• Fr²M² = G

Multiple Choice

$$K\ =\ \frac{1}{2}mv^2$$  Solve the following equation for m.

Solve the problem on a piece of paper / notebook.

Multiple Choice

Solve the literal equation for the given variable.

• 2A/h

• 2/(h)

• 2Ah

• Ah/2

Multiple Choice

Solve for x: u = 2x - 2

• $$x\ =\ u-1$$

• $$x\ =\ \frac{2}{u}\ +2$$

• x $$x\ =\ \frac{\left(u-2\right)}{2}$$

• $$x\ =\ \frac{u}{2}+1$$

Multiple Choice

Write the following equation in slope intercept form.

$$6x-7y=-35$$  

• $$y=\frac{7}{6}x-5$$  

• $$y=\frac{6}{7}x+5$$  

• $$y=\frac{5}{7}x\ -6$$  

• $$y=-\frac{6}{7}x\ -5$$