9/26 Applying Equations Practice

Last updated about 1 year ago
12 questions
1

Use your knowledge of area and perimeter to help you determine what each problem is asking you to solve.

Area
Perimeter
Sally is buying tiles for her bathroom floor. Her bathroom floor measures 20 feet by 7 feet. How many tiles will she need?
Tom is planning to paint one of his walls. The wall measures 14 feet by 8 feet. How much paint would he need to cover the wall?
Tom needs to use masking tape to put around the edge of the wall he is painting. How much masking tape does he need if the wall is 14 feet by 8 feet?
Captain is building an enclosure for his pet rabbit. The enclosure measures 15m by 5m. How much fence does he need for the enclosure?
1

Jessica wants to put a fence around her (1/2x +10.8) foot by (x+3) foot rectangular garden. How many feet of fencing will she need?

1

If the perimeter of the rectangular garden is 45.6 feet, what is the value of x? (Use your expression from #2.)

1

Norman is a sunflower farmer. He uses a plot of land that is (3 km) by (x + 4.3 km). How much land does he use for his sunflowers?


1

The table shows the number of strikes made by three players during a game of bowling. If Shirley and Ruby together had a total of 4 strikes, how many strikes did Elizabeth have?

1
Manuel is hosting a dinner party. He hires a caterer to prepare the dinner. The caterer charges a flat fee of $16 plus $8.25 per person. If Manuel pays the caterer $131.50, how many people are at the dinner party?

What is the equation that would model this problem?__________
Solve the equation. How many people are at the dinner party?__________
1

At a fast food restaurant, you bought one soda for $1.50 and 3 cheeseburgers. Your total was $8.25. How much was each cheeseburger?

Write an equation to solve for the cost of each cheeseburger.

1

Kevin went back to school shopping for some outfits. He had $37 in his bank account. He wanted to buy 2 pairs of jeans, 2 t-shirts and a pair of shoes. Write an equation that models his purchase and then solve for the value of x.

1

The triangle has a perimeter of 81 feet. Solve for the value of c.

1
Cindy, Petros and Nila wrote expressions to represent the amount of money they have in their savings account. Altogether they have $148. Write, and then solve, an equation to determine the value of x.

What is the value of x?_______

CHALLENGE: How could you use the value of x to determine the actual account balance of each child?
Cindy has $ _______ Petros has $ _______ and Nila has $_______.
1
Write a simplified expression for the perimeter and the area of the following figure.

The simplified perimeter expression is _______. The simplified area expression is_______.
1

BONUS: The perimeter of the figure below is 86 feet. Write and solve an equation to find the value of x.

HINT: How many sides are do you see?