Writing Equations
Slopes And Graphs
Converting Forms
Real-World Problems
100

A streaming platform charges a base fee of $8 per month plus $0.50 per video downloaded.
Write an equation for the total cost (C) after downloading (v) videos.

C=8+0.5v

100

What is the slope and y-intercept of y=2x+1

slope= 2

y-int. = 1

100

Write 2x−y=10 in slope-intercept form.

y=2x-10

100

Movie tickets cost $14 (adult), $8 (child) with a budget of $280. Write the equation if cost equals $280, (a) adults go, and (c) children go. 

280=14a+8c

200

A gym charges $20 to join and $5 per class attended.
Write an equation where (X) classes are attended. 

C=20+5x

200

Graph y= 

-1/2x +4

200

Convert 3x+2y=8 to slope-intercept form.

y=

-3/2x+4

200

A gym membership charges $25 base fee and a $3 charge per visit. Write the equation if (v) visits are made. 

C=25+3v

300

A food truck charges $4 for a taco and $1.50 per drink. 

Write an equation where C= Cost and (T) tacos, (d) drinks are bought. 

C= 4T+1.50d

300

What is the slope and y-intercept for the line 5x-y=15

slope= 5

y-intercept= -15

300

Rewrite the equation 6x−2y=10 in slope-intercept form.

y=3x-5

300

Concert tickets cost $30 (adult), $20 (student), budget $500. 

1.Write equation when budget is $500.

2. If 15 adults (a) go and 12 students (s) go, what is the cost?

 

1. 500=30a+20s

2. 30(15)+20(12)=690

400

A video rental service charges $12/month and $2 per rental. 

Write an equation to model the cost (C) if (r) movies are rented. 

C=12+2r

400

Find the slope of the line through the points (2,4) and (6,8)

slope= 1

400

A line passes through the points (–2, 5) and (4, –1).
Write the equation of the line in slope-intercept form.

Slope = -1

400

A bakery sells cupcakes for $3 each and cookies for $2 each. The total amount earned in one day was $90.

If they sold 10 cupcakes, how many cookies did they sell?

3(10)+2x=90

90-30= 60

60/2= 30 cupcakes

500

A bowling alley charges a $10 lane fee plus $3 per game per person.

1. write an equation if (p) persons are playing.

2. Solve the equation of p=15

1. 10+3p

2. 10+3(15)= $55

500

A line has a slope of -3 passing through (0,7). Write equation.

y= -3x+7

500

Graph 4x+2y=12

State Slope and Y-Int.  

500

A car rental company charges $40 per day and $0.20 per mile driven.

A customer has $160 to spend.

Write an equation and determine how many miles the customer can drive if they rent the car for 2 days.

160=40(2)+0.20m

160=80+0.20m

subtract 80 from both sides

80=0.20m

divide both sides by 0.20 and m=400

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