Activities

1. What is the length of a rectangle that has a perimeter of 48 inches and a width of 18 inches?

2. A number is increased by 8, multiplying that sum by 3 gives you 87.  What is the number?

3. A pool has a leak and the water level is lowered by 0.52 inches every hour that passes.  The pool is 4 feet deep but only is filled up to feet.  When you discovered the leak, the pool was down to 38.88 inches of water.  How long was the pool leaking before you found the leak? Show your work.

4. When you wake up in the morning, the temperature is 65 degrees. The predicted high temperature for the day is 90 degrees.  At lunch time the temperature has increased by 30% from the temperature in the morning.  What is the current temperature?
   Part B) How many degrees does it need to hit the predicted high temperature of 90 degrees?

5. Jackie and Beth are standing back to back in the mall.  They take 20 steps away from each other and when they stop they are 40 feet away from each other.  Each of Jackie’s steps measured 0.75 feet.  How long were each of Beth’s steps?

6. Jennifer has started to sell magazine subscriptions, and during the first year she sold 100.  During the second year she sold 160 subscriptions, and by year five she sold 340.  Suppose that Jennifer will continue to increase her sales at the same rate, write an equation to calculate the number of subscriptions that she will sell after x years.
   Part B) If Jennifer earns $50 from each subscription that she sells, how long will it take her to earn $ 28,000? Show your work.

Answer Key/Rubric

1. Length = 6 inches

2. X = 21

3. The pool was leaking for 6 hours.  Students work might include but is not limited to,

• Convert the pool water height from feet to inches by multiplying by 12.
• * 12 = 42 inches
• Subtract original height by the height of the water when you found the leak.
• 42 – 38.88= 3.12 inches of water lost
• 3.12 ÷0.52 = 6 hours passed

4. The current temperature is 84.5 degrees.  Student work might include but is not limited to,

• 65(1.3) = 84.5
• Second method: 65 x 0.30 = 19.5 then add 65 + 19.5 = 84.5
• Part B) The temperature needs to go up 5.5 degrees to hit the predicted high.
• Work might include 90 – 84.5 = 5.5

5. Beth’s steps were each 1.25 feet.  Student work might include but is not limited to

• 20 combined steps or 20 times the total distance covered by one of the girl’s steps has a total distance of 40 feet.
• 20 ( x + 0.75) = 40
• 20x +15 = 40
• 20x = 25
• X = 1.25

6. Part A) X = 100 + 60(y-1)
   Part B) It will take Jennifer 8 years and 8 months to earn $28,000.  Student work might include but is not limited to,

• X = 100 + 60(y-1)
• 28000 ÷ 50 = 100 + 60(y-1)
• 560  = 100 + 60(y-1)
• 560  = 100 + 60y-60
• 560  = 40 + 60y
• 520 = 60y
• 
• 8 years and 8 months