Slope-Intercept
A music app charges a $4 sign-up fee plus $2 per song. Write and solve equation for the total cost of downloading 12 songs.
2x+4=y
$28
A fair charges $3 per child and $5 per adult. If 50 children attend, write an equation for total sales of $300.
3x+5y=300
30 adults
A moving truck costs $64 for 48 miles, plus $0.50 per mile. Write a linear equation and find the cost of driving 80 miles.
y=0.5x+40
$80
Serving 1 person takes 10 minutes, and serving 5 people takes 18 minutes. Write a linear equation and find how many minutes it takes to serve 8 people.
y=2x+8
24 Minutes
A streaming service charges $8 per month plus a one-time $5 sign-up fee. Write an equation and find the total cost for 6 months.
y=8x+5
$53
A student has already saved $35 and saves $12 each week. Write an equation for the total savings after 10 weeks.
12x+35=y
$155
A vegetable stand sells pumpkins for $6 each and tomatoes for $2 each. Total sales are $84. If 8 pumpkins are sold, write an equation and find the number of tomatoes sold.
6x+2y=84
18 tomatoes
A candle is 13.4 inches tall after burning for 8 hours. It burns at 0.2 inches per hour. Write a linear equation and find its original height.
y=-0.2x+15
15 inches
Seven dance lessons cost $82, and 11 lessons cost $122. Write a linear equation and find the cost of 4 lessons.
y=10x+12
$52
A line passes through the point (3, 11) and has a slope of 2. Write an equation and find y when x=8.
y=2x+5
y=21
A candle is 18 inches tall and burns at a rate of 0.5 inches per hour. Write an equation for its height y after 8 hours.
18-0.5x=y
$14
A landscaping company buys 15 plants at $12 each and several trees at $30 each. The total cost is $810. Write an equation and find the number of trees purchased.
12(15)+30y=810
21 Trees
A town's population was 307,650 when Beth turned 9. It grows by 850 people each year. Write a linear equation and find the population when Beth turns 16.
y=850x+300000
313,600 people
Five hockey tickets cost $174.45, and 8 tickets cost $271.95. Write a linear equation and find the total cost of 12 tickets.
y=32.5x+11.95
$401.95
A school sells adult tickets for $7 and student tickets for $4. Total sales are $280. If 20 adult tickets are sold, write an equation and find the number of student tickets sold.
7(20)+4y=280
35 student tickets
A phone plan costs $25 per month plus $0.10 per text message. Write an equation for the total monthly cost if 300 text messages are sent.
$55
A school sells adult tickets for $8 and student tickets for $5. Total sales are $610. If 45 adult tickets are sold, write an equation and find the number of student tickets sold.
8x+5y=610
50 Student tickets
A car lease costs $199 per month plus a down payment. After 6 months, the total paid is $2,694. Write a linear equation and find the total paid after 36 months.
y=199x+1500
$8,664
A 10-minute phone call costs $3.19, and a 15-minute call costs $4.29. Write a linear equation and find the cost of a 12-minute call.
y=0.22x+0.99
$3.63
A line passes through (2, 9) and (6, 21). Write an equation and find y when x=10
y=3x+3
y=33
A truck costs $54,021 brand new. It depreciates at rate of 3000 per year. How many years will it take for the truck to be worth $24,021
54021-3500x=24021
10 years
A party budget is $100. Hamburgers cost $3 per pound and chicken costs $5 per pound. If 20 pounds of hamburger are purchased, write an equation and find how many pounds of chicken can be purchased with the remaining money.
3x+5y=100
8 pounds of chicken
A rental company charges a flat fee plus $25 per hour. Renting equipment for 4 hours costs $130. Write a linear equation and find the cost of renting it for 9 hours.
y=25x+30
$255
Renting a boat for 3 hours costs $435. Renting it for 5 hours costs $625. Write a linear equation and find the total cost of renting it for 3 hours on Saturday, 5 hours on Sunday, and 2 hours on Monday.
y=95x+150
$1100
A moving company charges a flat fee plus a cost per mile. A 5-mile move costs $75, and a 9-mile move costs $115. Write an equation and find the cost of a 15-mile move.
y=10x+25
$175