A1 Equations Unit Review

Literal Equations

100

Solve for m:

m - t = p

m = p + t

200

Solve for x:

xy = z

x = z/y

300

Solve for L

A = lwh

l = A/(wh)

400

Double Whammy!!!

Solve for b:

a^2+b^2=c^2

b=sqrt(c^2-a^2

500

Solve for v:

K= (mv^2)/2

v= sqrt( (2K)/m) 

Solving Proportions

100

9/5=x/45

x = 81

200

(x-5)/16=5/8

x = 15

300

8/(c+28)=4/c

c = 28

400

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

s = -3

500

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

p = -146

Vocabulary

100

Fill in the blank:

Absolute value is the _____________ a number is from zero.

distance

200

Fill in the blank:

______________ equations are equations that contain more than one variable.

Literal

300

Fill in the blank:

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

Multi-step

400

Fill in the blank:

To solve _______________ you cross multiply.

proportions

500

Fill in the blank:

Absolute value can never equal __________________.

a negative number

Absolute Value Equations

100

|x| = 3

{-3,3}

200

|x/5| = 2

{-10, 10}

300

|-2x + 4| + 4 = 16

{-4, 8}

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.

500

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

{-18, 22}

Multi-Step Equations

100

75 = 3(−6n − 5)

n = -5

200

Double Whammy!

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

No Solution

Ø

300

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

y = -2

400

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

p = 0

500

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

k=13