Linear Equation Word Problems

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
Mrs. Harris is going to the movies. She spends $10 per ticket and $5 per bucket of popcorn. She only wants to spend $50. 

• Slope-intercept

• Standard form

Would you write a linear equation to model the following situation in slope-intercept form or standard form? 
Luke wants to make 80 dollars doing yardwork. He earns $10 per lawn he mows and $20 per garden he weeds. 

• Standard Form

• Slope-Intercept

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours

• 4 hours

• 1 hour

• 2 hours

Bob has $150 in his savings account and saves $40 per month.  Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40

A holiday meal costs $12.50 a person plus a delivery fee of $30.  Which equation represents the amount a holiday meal costs, including delivery, for x people?

• y = 30 + 12.5x 

• y = 12.5 + 30

• y = 12.5 + 30x

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5

• y = 25.5 + 8.5x

• y = 8.5 + 25.5x

When Phil started his new job, he owed the company $65 for his uniforms. He is earning $13 per hour. The cost of his uniforms is withheld from his earnings. Write an equation that models the total money he has y after x hours of work.

• y = 13x - 65

• y = 13x + 65

• 13x - 65y = -52

• y - 65 = 13(x - 1)

The population of a city increases by 4000 people each year. In 2025, the population is projected to be 450,000 people. What is an equation that gives the city's population y (in thousands of people) x years after 2010?

• y = 4x + 450

• y - 450 = 4(x - 15)

• y - 15 = 4(x - 450)

• y = 4x + 15

You have only nickels (x) and dimes (y) in your piggy bank. When you ran the coins through a change counter, it indicated you have 595 cents. Write an equation to represent this situation.

• 5x + 10y = 595

• 10x + 5y = 595

• .05x + .10y = 595

• y = 2x + 595

Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks and ties on sale for $4 and $11, respectively. What form of a linear equation would best represent this situation?

• Standard Form

• Point-Slope Form

• Slope-Intercept Form

• None of the above