Solving Equations
Literal Equations
Graphing
Word Problems
Slope-Intercept Form
100

Solve

2(-4-6n)=-92

7

100

Solve for w

A=lw

A/l=w

100

What is the y-intercept?

(0,5)

100

A delivery service charges a base fee of $5 plus $2.50 per each package delivered.  Identify the y-intercept and the slope.

Slope 2.5

y-intercept 5

100

Write the equation in slope intercept form.

Slope:  3/2 

y-intercept:   -1 

y=3/2x-1

200

Solve

8(-k+6)=96

-6

200

Solve for x

z=x-m

z+m=x

200

What is the x-intercept?

(2,0)

200

A youth club is organizing a camping trip.  The initial number of boys signed up is 40, and each week, 2 more boys join the trip.  Write an equation to represent how long it will take for there to be 100 boys signed up.

100 = 40 + 2x

200

Write the equation in slope-intercept form.

Slope:  -1/2 

y-intercept:   3 

y=-1/2x+3

300

Solve

148=3(1-6n)+1

-8

300

Solve for a

a-m=n-p

a=m+n-p

300

What is the slope of the line?

m=2

300

A taxi service charges a fixed fee of $8 plus $1.75 per each mile traveled.  Create an equation to represent the total taxi ride cost of $25.

25 = 8 + 1.75x

300

Write this equation in slope-intercept form.

-y-12=3x

y=-3x-12

400

Solve

2x+3=2x+7

No solution

400

Solve for a

ac=d-r

a=(d-r)/c

400

What is the equation (in slope-intercept form) of this line?

y=7/4x-5

400

An electrician charges $25 for a service call plus $50 per hour of service.  If the electrician earned $225, how many hours did the repair last?

4 hours

400

Write the equation in slope-intercept form.

0=-x-y

y=-x

500

Solve

2(x+3)=2x+6

Infinite Solutions

500

Solve for a

g=-b+c/a

a=c/(g+b)

500

What is the equation (in slope-intercept form) of this line?

y=-x+3

500

An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that.  Find the total cost for a meeting and 6 hours of work.

$1150

500

Write the equation in slope-intercept form.

-16+3y-5x=0

y=5/3x+16/3