Write Linear Expressions in Different Forms for Situations

A plumber charges:

a customer a one-time service fee of $79,

$62 per hour for labor,

and a surcharge of $15 per hour due to the call being an emergency.

Write an expression to represent the total charges for the plumber in two different ways.

• 79 + 62h + 15h

• 79 + 77h

• 79 + 62h

• 62h + 15h

Mia buys ink at the office supply store for a business. She buys 3 printer cartridges, and the sales tax is 7%. Which of the following expressions represents the total cost of ink supplies?

The symbol * means times (multiply).

• 3c + 0.07(3c)

• 3c * 1.07

• 3c + 7

• 3c * 0.07

Emilio buys liter bottles of shampoo when the store has the promotion shown. Write an expression in two different ways to represent the total cost of 3 liters of shampoo. The variable L means the unknown amount.

• 0.3L-3L

• 2L + 0.7L

• 2L + 0.3L

• 2.7L

Maribelle uses x yards of material to make a quilt. A customer requests 5 quilts that are 20% larger than the normal pattern. Write an expression to represent the total yards of material needed for the requested quilts in two different ways.

• 5x + 0.2x

• 5x + x

• 5x + 5(0.2x)

• 6x

Gavin works two part-time jobs to pay for college. He works 8 hours each week tutoring and 10 hours each week in the dining hall. He gets paid the same hourly wage at each job. His parents also provide Gavin $50 per week for expenses. Gavin writes this expression, 18w + 50, where w represents his hourly wage, to represent his total weekly income. Which of the following expressions is equivalent to Gavin’s?

• 9w + 9w + 50

• 8w + 10w + 50

• 10w + 8w + 50

• 18w + 50

Decide whether the expressions are equivalent and write yes or no.

3n + 4n + 1 + 2n – 3 and

9n – 2

• yes

• no

Decide whether the expressions are equivalent and write yes or no.

3.1b – 0.22b and

2.88b

• yes

• no

Decide whether the expressions are equivalent and write yes or no.

13x – 7x + 4 and

20x + 4

• yes

• no

Decide whether the expressions are equivalent and write yes or no.

18 + 3.1m + 4.21m – 2 and

16 + 7.31m

• yes

• no