Linear Equations Standard Form Word Problems

A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. Show this using y = mx + b form.

• y=-2x+120

• y=1/2x+220

• y=2x+220

• y=2x+120

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards a few months later and paid $35. Write a linear equation to describe this scenario.

• y=0.04x+15

• y=-0.04x+15

• y=0.4x+15

• y=-0.4x+15

You have $28 to spend on Tech-decks and Takis. Tech-decks cost $7 each and jumbo bags of Takis cost $4 each.

Let x = # of Tech-decks

Ley y = # of bags of jumbo Takis

What equation should you use for this word problem?

• 28x+7y=4

• 4x+7y=28

• 7x+4y=28

• 4x+28y=7

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Which equation would represent the total amount of points earned, if x represents jewels and y represents stars?

• 5x+2y=250

• 5x-2y=250

• 2x+5y=250

• 250x+5y=2

The booster club made $708 on homecoming T-shirt sells. Small t-shirts cost $12 while large t-shirts cost $14. If x is small t-shirts and y is large t-shirts, what equation represents this.

• 12x + 14y = 708

• 14x + 12y = 708

• 708x + 14y = 12

• 12x + 708y = 14

Yandel is selling concert tickets for his friend's show. Regular tickets cost $35 and VIP tickets cost $50. Yandel's manager told him he needs to sell $1,000 worth of tickets. Which of the following equations could be used to represent the number of regular tickets, x, and VIP tickets, y, Yandel needs to sell to meet the goal?

• 35x - 50y = 1000

• 50x - 35y = 1000

• 50x + 35y = 1000

• 35x + 50y = 1000

At a school play, children’s tickets cost $3 each and adult tickets cost $7 each. The total amount of money earned from ticket sales equals $210. Write a linear model that relates the number of children’s tickets sold to the number of adult tickets sold. Let x = the number of children’s tickets sold and y = the number of adult tickets sold

• y=10x+210

• 7x+3y=210

• y=7x+210

• 3x+7y=210

You have $18 to spend on Uber Eats credits and hats for Among us. Uber Eats credits are $1 each and hats for Among Us cost $2 each.

Let x = # of Uber Eats credits

Ley y = # of hats for Among Us

What equation should you use for this word problem?

• y+18x=2

• x+2y=18

• 2x+y=18

• 18x+y=2

In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. You've earned 250 total points.

Would this be represented by a slope-intercept form or standard form equation?

• Slope-intercept (y=mx+b)

• Standard (Ax+By=C)

A store sells sodas for $2 each and chips for $1.50 each. You plan on spending $17.50 on drinks and snacks for you and your friends.

Which equation would represent the total amount of points earned, if x represents drinks and y represents chips?

• 17.50x+1.50y=2

• 2x-1.50y=17.50

• 2x+1.50y=17.50

• 2x+1.50y=19