Pre-Algebra: Ratios & Linear Equations Challenge

A store sells pencils for $0.50 each. If you buy x pencils, how much will you spend? Write an equation to represent the total cost.

• total cost = 0.50 - x

• total cost = 0.50 / x

• total cost = x + 0.50

• total cost = 0.50 * x

If a recipe requires a ratio of 2 cups of flour to 3 cups of sugar, how many cups of sugar do you need if you use 4 cups of flour?

• 6 cups of sugar

• 4 cups of sugar

• 8 cups of sugar

• 2 cups of sugar

A car travels 60 miles in 1 hour. How far will it travel in t hours? Write a linear equation to represent this situation.

• d = 60 + t

• d = 30t

• d = 60t

• d = 60t^2

In a class, the ratio of boys to girls is 3:4. If there are 12 boys, how many girls are there?

• 20

• 16

• 18

• 14

A bike costs $120. If you save $15 each week, how many weeks will it take to save enough to buy the bike? Write an equation to solve for the number of weeks.

• 6 weeks

• 10 weeks

• 8 weeks

• 12 weeks

If a recipe calls for 5 parts of water to 2 parts of juice, what is the total number of parts if you use 21 parts of the mixture?

• 17

• 21

• 25

• 10

A gardener has a total of 48 plants. If the ratio of flowers to vegetables is 5:3, how many flowers does the gardener have?

• 36

• 18

• 24

• 30

If a train travels at a speed of 75 miles per hour, how long will it take to travel d miles? Write a linear equation to express this relationship.

• t = d + 75

• t = d / 75

• t = d * 75

• t = 75 / d

A school has a ratio of 2 teachers for every 25 students. If there are 100 students, how many teachers are there?

• 10 teachers

• 8 teachers

• 6 teachers

• 4 teachers

If you have a total of $200 and you spend x dollars each week, how many weeks can you go before running out of money? Write an equation to represent this situation.

• weeks = 200 / x

• weeks = 200 * x

• weeks = 200 - x

• weeks = 200 + x