Homework Week #11

7th grade

Monday –

Tuesday –

Wednesday –“Solve Equations with variables

on both sides” – See below

Thursday – “Write Inequalities with

variables on both sides”-See below

Friday – Study for Quiz

All homework assignments are

due the following Monday.

Solve Equations with Variables on Each Side Write and solve an equation to solve each exercise.

1. A1 Plumbing Service charges $35 per hour

plus a $25 travel charge for a service call.

Good Guys Plumbing Repair charges $40 per

hour for a service call with no travel charge.

How long must a service call be for the two

companies to charge the same amount?

2. Mike’s Fitness Center charges $30 per month

for a membership. All-Day Fitness Club

charges $22 per month plus an $80 initiation

fee for a membership. After how many

months will the total amount paid to the two

fitness clubs be the same?

3. The Lone Star Shipping Company charges $14

plus $2 a pound to ship an overnight package.

Discount Shipping Company charges $20 plus

$1.50 a pound to ship an overnight package.

For what weight is the charge the same for the

two companies?

4. Deanna and Lise are playing games at the

arcade. Deanna started with $15, and the

machine she is playing costs $0.75 per game.

Lise started with $13, and her machine costs

$0.50 per game. After how many games will

the two girls have the same amount of money

remaining?

5. The Wayside Hotel charges its guests $1 plus

$0.80 per minute for long distance calls. Across

the street, the Blue Sky Hotel charges its

guests $2 plus $0.75 per minute for long

distance calls. Find the length of a call for

which the two hotels charge the same amount.

6. Duke is a part-time student at Horizon

Community College. He currently has 22

credits, and he plans to take 6 credits per

semester until he is finished. Duke’s friend

Kila is also a student at the college. She has 4

credits and plans to take 12 credits per

semester. After how many semesters will

Duke and Kila have the same number of

credits?

Inequalities with Variables on Each Side

1. The table compares cell phone plan

rates for two companies. Write an

inequality that can be used to

determine the number of months it

would take Cell Sensation to cost the

same or more than Cell Nation.

Company Initial

Fee

Monthly

Rate

Cell Nation $250 $50

Cell

Sensation $175 $65

2. If you pay a one-time fee of $30, you

can buy tickets for a music concert at a

reduced price of $17. Regular tickets

cost $25. Write an inequality that can

be used to determine the number of

reduced price concert tickets you would

need to purchase in order for the total

cost to be less expensive than the

same number of regular tickets.

2. Trash Management charges its

customers a fee of $25 plus $8 for each

trash can they need emptied. Waste

Away charges its customers $12 per

trash can with no fee. Write an

inequality that can be used to determine

the number of trash cans for which it is

less expensive for a customer to use

Waste Away as their trash service.

4. The Beanery charges $14.99 per

pound for its gourmet coffee and offers a $2.50 off coupon good toward the total purchase. The Brew Master

charges $13.49 per pound for its gourmet coffee and offers a $1.00 off

coupon good towards the total purchase. Write an inequality that can be used to determine the number of

pounds of coffee one must purchase from Brew Master in order to save

money.

5. Satellite Image charges a monthly rate of

$120. “We Are Dish” charges a monthly

rate of $150 and offers a one-time sign

up discount of $100. Write an inequality

that can be used to determine the

number of months it would be more cost

effective for someone to use Satellite

Image as their cable television provider.

6. After a hurricane, the Johnsons had 6

inches of water in their basement that

was being pumped out at a rate of 1

inch per hour. The Grahams had 10

inches of water in their basement

being pumped out at a rate of 2 inches

per hour. Write an inequality that can

be used to determine the number of

hours it will for the water level in the

Grahams’ basement to be equal to or

less than the Johnsons’.

7. The cost for a large cheese pizza at Pizza

Palace is $10 plus $1.25 for each

additional topping. The cost for a large

pizza at Luigi’s Pizzeria is $8 plus $1.75

for each additional topping. For what

number of toppings is Luigi’s Pizzeria less

expensive than Pizza Palace?

8. Literature Lagoon Book Club charges

an annual fee of $25 plus an

additional fee of $6 per book.

Abundant Reader Book Club charges

an annual fee of $18 plus an

additional fee of $7.50 per book. For

what number of books does Literature

Lagoon Book Club cost less than

Abundant Reader Club?