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Writing Equations
100
Frank and Keisha want to build a tree house in their backyard. They go to the store to buy the wood. Store A offers 5 pieces of wood for $15. Store B offers 7 pieces of wood for $28. Write the unit rates for each of the stores and simplify.
Store A: 5 pieces for $15 or 1 piece for $3 Store B: 7 pieces for $28 or 1 piece for $4
100
Write 20% in fraction AND decimal form.
20% = 20/100 = .20
100
Write an expression for the following situation. Julian is renting a conference room for a meeting. It costs $40 for the space and $5 per person.
40 + 5p or 5p + 40
100
Laura can finish 40 homework questions in 120 minutes. If she works at that speed... How many minutes is she spending on one question?
If Laura does 40 questions in 120 minutes, then she can do 1 question in 3 minutes.
100
James is writing an equation for the perimeter of a rectangle. He adds the length and width and doubles the sum. Write an equation for the perimeter of a rectangle.
P = 2(L+W)
200
Frank and Keisha want to build a tree house in their backyard. They go to the store to buy the wood. Store A offers 5 pieces of wood for $15. Store B offers 7 pieces of wood for $28. If Frank and Keisha need 20 pieces of wood and wanted to spend as little money as possible, which store should they go to?
Store A: 5 pieces for $15 reduces to 1 piece for $3 20 pieces of wood = $60 Store B: 7 pieces for $28 reduces to 1 piece for $4 20 pieces of wood = $80 Frank and Keisha should go to Store A.
200
Multiply $120 by .20
120 x .20 = 24
200
Write an expression for the following situation. Leo made half as many baskets as Brandon at the basketball game today. Brandon made b baskets.
b/2
200
Laura can finish 40 homework questions in 120 minutes. If she works at that speed... How many questions could she finish in 30 minutes?
If Laura can finish 40 questions in 120 minutes, that means she can do 1 question in 3 minutes. At this rate, Laura could finish 10 questions in 30 minutes.
200
Write an equation based on the chart. x y 1 2 2 4 3 6 4 8 5 10
y = 2x
300
James and Aaron are taking a road trip to see the Lincoln Memorial in Washington, DC. They're trying to decide which car they should take. James' car holds 15 gallons and can go 285 miles on a full tank. Aaron's car holds 12 gallons and can go 252 miles on a full tank. Write the unit rates for each of the cars in miles per gallon.
James' Car is 15 gallons for 285 miles or 19 miles per gallon Aaron's Car is 12 gallons for 252 miles or 21 miles per gallon
300
What is 30% of 60?
30% = .30 60 x .30 = 18
300
If Will has six times as many apples as Jane, then Jane has 1/6 the amount of Will. Write an expression to represent the amount Jane has if A represents the number of apples Will has.
(1/6)a or a/6
300
Laura can finish 40 homework questions in 120 minutes. If she works at that speed... How many questions is she finishing per hour?
If Laura is finishing 40 questions in 120 minutes, then she is finishing 1 question in 3 minutes. Since there are 60 minutes in 1 hour, she is finishing 20 questions in 1 hour. Another way to think about it is that 120 minutes is equal to 2 hours. If she's finishing 40 questions in two hours, then she can finish 20 questions in 1 hour.
300
Write an equation based on the chart. m b 1 5 2 10 3 15 4 20 5 25 6 30
b = 5m
400
James and Aaron are taking a road trip to see the Lincoln Memorial in Washington, DC. They're trying to decide which car they should take. James' car holds 15 gallons and can go 285 miles on a full tank. Aaron's car holds 12 gallons and can go 252 miles on a full tank. If James and Aaron wanted to spend the least amount of money, which car should they take?
James' Car is 15 gallons for 285 miles or 19 miles per gallon Aaron's Car is 12 gallons for 252 miles or 21 miles per gallon They should take Aaron's car because they can go more miles per gallon, therefore saving money per gallon.
400
A shirt is originally $80, but is on sale for 40% off. What is the sale price?
40% = .40 80 x .40 = 32 80 - 32 = $48
400
If Bill has 4 times the amount of markers as Darius, then Darius has 1/4 the amount of Bill. Write an expression to represent the amount Darius has if M represents the number of markers Bill has.
(1/4)M or M/4
400
Laura can finish 40 homework questions in 120 minutes. If she works at that speed... How many minutes is she spending on 4 questions?
If she is finishing 40 questions in 120 minutes, she is doing 1 question in 3 minutes. At this rate, she's doing 4 questions in 12 minutes.
400
A bookshelf consists of history books, textbooks, comic books, and fiction books. There are twice as many history books as comic books. There are three times as many textbooks as comic books. There are six times as many fiction books as comic books. There is a total of 240 books on the shelf. Write an equation that represents this situation using the variable C to represent the number of comic books.
c + 2c + 3c + 6c = 240
500
Lily is throwing a surprise birthday for Erica. She is trying to find the best deal on pizza. Store A charges $48 for 6 pizzas. Store B charges $63 for 7 pizzas. Which store offers Lily the best deal on 10 pizzas?
Store A charges $48 for 6 pizzas or $8 per pizza Store B charges $63 for 7 pizzas or $9 per pizza For 10 pizzas, Store A would cost $80 (10 x $8) and Store B would cost $90 (10 x $9). Lily should buy from Store A.
500
Your favorite pair of Jordans just went on sale. The original price is $120 and they are currently 20% off. You have $100 saved up. Assuming the price includes tax, can you afford the shoes?
20% = .20 120 x .20 = 24 120 - 24 = $96 If you have $100, you can afford the shoes because the sale price is $96.
500
Write an expression for the following situation. The skating rink charges $100 to reserve the place and then $5 per person. Write an expression to represent the cost for any number of people. Let n represent the number of people.
100 + 5n or 5n + 100
500
Laura can finish 40 homework questions in 120 minutes. If she works at that speed... How many questions could Laura complete in 4 hours?
Four hours is equivalent to 240 minutes. If she's finishing 40 questions 120 minutes, she can finish twice the amount of questions in 240 minutes. This means she can finish 80 questions in 240 minutes.
500
A bookshelf consists of history books, textbooks, comic books, and fiction books. There are twice as many history books as comic books. There are three times as many textbooks as comic books. There are six times as many fiction books as comic books. There is a total of 240 books on the shelf. How many textbooks are there on the shelf?
We've come up with the equation c + 2c + 3c + 6c = 240. When we combine the like terms we get 12c = 240. Therefore, c = 20. This means that the number of comic books is equal to 20. If there are three times as many textbooks as comic books, then there are 60 textbooks.