Application Equations

You begin with $25 in a savings account and $50 in a checking account. Each week you deposit $5 into savings and $10 into checking.

Write an expression to represent the amount in your checking account after x weeks.

• 25 + x

• 50 + x

• 25 + 5x

• 50 + 10x

Using the diagram, write an expression to represent the route from your home to the store that passes the beach.

• 3x

• 3x + 3

• 3x + 4

• 4x + 4

From your home, the route to the store that passes the beach is 2 miles shorter than the route to the store that passes the park. What is the length of each route?

• The route past the beach is 3 miles while the route past the park is 5 miles.

• The route past the beach is 9 miles while the route past the park is 11 miles.

• The route past the beach is 13 miles while the route past the park is 15 miles.

• The route past the beach is 15 miles while the route past the park is 17 miles.

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. Write an equation that represents the numbers of hours worked as a landscaper to earn your desired $400.

• 30 + 8.75 + 11 + h = 400

• 30(11) + 8.75h = 400

• 30 + 11h = 400

• 30(8.75) + 11h = 400

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.

Solve an equation to find how many hours must you work as a landscaper to earn your desired $400.

• 12.5 hours

• 20 hours

• 40 hours

• 45 hours

You pay $45 per month for cable TV. Your friend buys a satellite TV receiver for $99 and pays $36 per month for satellite TV. Your friend claims that the expenses for a year of satellite TV are less than the expenses for a year of cable. Write an equation to represent when you and your friend will have paid the same amount for TV service.

• 45m = 36m

• 45m + 99 = 36m

• 45m = 99 + 36m

• 45m = 99 – 36m

Using the diagram, write an expression to represent the route from your home to the store that passes the park.

• 4x + 1

• 4x + 5

• 5x

• 5x + 2

What equation represents the area of a rectangle?

• Area = Width × Length

• Area = Length + Width

• Area = 2 × (Length + Width)

• Area = Length ÷ Width

Which of the following is a key step in solving real-world quadratic problems?

• Isolating the variable

• Ignoring the variable

• Graphing the equation

• Using logarithms

• W: 5 in

• W: 10 in

• L: 15 in

• L: 12.5 in