Literal Equations
Solving Proportions
Vocabulary
Absolute Value Equations
Multi-Step Equations
100

Solve for m:

`m - t = p`

`m = p + t`

100

`9/5=x/45`

`x = 81`

100

Fill in the blank:

Absolute value is the _____________ a number is from zero.

distance

100

`
`

`|x| = 3`


`{-3,3}`

100

`75 = 3(−6n − 5)`

`n = -5`

200

Solve for x:

`xy = z`

`x = z/y`

200

`(x-5)/16=5/8`

`x = 15`

200

Fill in the blank:

______________ equations are equations that contain more than one variable.

Literal

200

`|x/5| = 2`

`{-10, 10}`

200

Double Whammy!

`2(n+1)=4n+1-2n`

No Solution

`Ø`

300

Solve for L

`A = lwh`

`l = A/(wh)`

300

`8/(c+28)=4/c`

`c = 28`

300

Fill in the blank:

_______________ equations are equations that require more than two steps to solve them.

Multi-step

300

`|-2x + 4| + 4 = 16`

`{-4, 8}`

300

`9(y - 4) - 7y = 5(3y - 2)`

`y = -2`

400

Double Whammy!!!

Solve for b:

`a^2+b^2=c^2`

`b=sqrt(c^2-a^2`

400

`1/(s+2)=9/(s-6)`

`s = -3`

400

Fill in the blank:

To solve _______________ you cross multiply.

proportions

400

`-3 |−8x| + 8 = 80`

No Solution 

`Ø`

Absolute value cannot be set equal to a negative number (|-8x| = -24) because distance cannot be negative.

400

`10p + 9 − 11 − p = −2(2p + 4) − 3(2p − 2)`

`p = 0`

500

Solve for v:

`K= (mv^2)/2`

`v= sqrt( (2K)/m) `

500

`(p+10)/(p-7)=8/9`

`p = -146`

500

Fill in the blank:

Absolute value can never equal __________________.

a negative number

500

`5+1/2|2x-4|=25`

{-18, 22}

500

`9(k-4)-7k=32-2(k+8)`

`k=13`