Linear Equations Review

One & Two Step Equations

100

8 = 2x - 4

solve for x

x = 6

200

x - 5 = 3

solve for x

x = 8

300

x/2 - 3 = 7

solve for x

x = 20

400

3x - 4 = 17

solve for x

x = 7

500

x/4 = 3

solve for x

x = 12

Applications of Equations

100

Peach the Mole entered her secret lair and started digging her way down.

'a' represents Peach's altitude relative to the ground (in meters) after 't' minutes.

a = -2t - 4

How far down did she dig in 2 minutes?

a = -8

200

Mr Clemenzi is planning a pizza party for his last day on April 14th. The pizza place tells him for such a large order the price will be $10 per pizza plus a $5 delivery fee. In order to feed all his hungry students, he buys 8 pizzas. 

How much money will his bill be?

His bill will be $85

300

Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit.

'f' represents the temperature in Fahrenheit as a function of the temperature 'c' in Celsius.

f = 32 + 1.8c 

Water freezes at 0 degrees Celsius. What is the freezing temperature of water in degrees Fahrenheit?

f = 32

400

Agent Clemenzi is transferring classified files from the CIA mainframe into his flash drive.

'S' represents the size of the files on the drive (in megabytes) after 't' seconds.

S = 5t + 45 

How many megabytes are transferred after 10 seconds?

S = 95

500

Joe and Steve are saving money. Joe starts with $105 and saves $5 per week. Steve starts with $5 and saves $15 per week. 

What are the two equations to represent their savings over time?

For Joe: m = 5w + 105

For Steve: m = 15w + 5

Multi-Step Equations

100

2x/7 - 1 = 1

solve for x

x = 7

200

2(x-1) = 4

solve for x

x = 3

300

3(x + 4) = 36

solve for x

x = 8

400

Complete the "LS = RS check" for the following:

4x - 3 = 9

x = 3

LS:                   RS:

4x - 3                9

4(3) - 3

12 - 3

9            LS = RS  QED

500

3x + 9 = -3

solve for x

x = -4

Standard Form to Slope-Intercept Form

100

x + y = 0 

convert to slope-intercept form

y = -x

200

6x - 3y + 12 = 0

convert to slope-intercept form

y = 2x + 4

300

4x - y - 6 = 0

convert to slope-intercept form

y = 4x - 6

400

3x + 6y - 12 = 0

convert to slope-intercept form

y = -x/2 + 2

500

5x - 10 = -3y

convert to slope-intercept form

y = -5x/3 + 10/3

Working with Formulas

100

c = 2πr

solve for r

r = c/2π 

200

P = 2l + 2w

solve for w

w = (P - 2l)/2

300

F = ma

solve for m

m = F/a

400

s = 180(n-2)

solve for n 

n = s/180 +2

500

y = m(x+a)

solve for a

a = (y - mx)/m