Writing and solving real-world linear equations

Writing and solving real-world linear equations

Aim: How can we write and solve real-world linear equations?

Do Now: (Next slide)

Multiple Choice

Which equation shows the number of bottles left after x days?

A family buys a case of water with 48 bottles and drinks 5 bottles per day.

• y = 48x + 5

• y = -5 + 48x

• y = -5x - 48

• y = 48 - 5x

Multiple Choice

After paying $5.12 for a salad, Kamauri has $27.10. How much money did he have before buying the salad?

• n + $5.12 = $27.10
• n - $5.12 = $27.10
• n - $5.12 = -$27.10
• $5.12 - n = $27.10

Multiple Choice

For lunch, Amanda had a hamburger and some potato chips. The hamburger totaled 325 calories and each chip had 12 calories. Write a liner equation to represent the situation.

• y = 12 + 325

• y = 12x + 325

• y = 325 - 12x

• y = 325x + 12

Multiple Choice

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472

• 9x=472

• 4+9x=472

• 4+x=472

Multiple Choice

The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $290, how many tickets were sold?

• 47

• 58

• 69

• 113

Multiple Choice

Billy's car needed repairs. The mechanic charged him $140 for the parts and an additional $48 an hour for labor. How many hours of labor did the mechanic work on the car if her total bill was $260?

• 3 hours

• 12 hours

• 2.5 hours

• 5 hours

Fill in the Blank

During the summer, you work 30 hours per week at a gas station and earn $8.75 per hour. You also work as a landscaper for $11 per hour and can work as many hours as you want. You want to earn a total of $400 per week. How many hours must you work as a landscaper?

Open Ended

Write your own real-world linear equation.