Proportional reasoning
1
A runner jogs 8 miles in 2 hours at a steady pace. How far does the runner go in 5 hours?
Unit rate
2
A printer prints 240 pages in 4 minutes at a steady rate. How many pages does it print in 1 minute?
Ratio
3
A fruit basket has 4 apples for every 3 oranges. The basket has 12 oranges in total. How many apples does the basket have?
Linear decay
4
A candle is 20 centimeters tall. It burns down 2 centimeters every hour. How tall is the candle after 3 hours?
Coordinate geometry
5
In which quadrant does each point sit? (4, −2) · (−5, 6) · (−3, −1) · (1, 7)
Proportional scaling
6
A blueprint shows a room that is 4 feet wide and 6 feet long. The builder scales it up by a factor of 5 to build the actual room. What are the real width and length of the room?
Arc approximation
7
A river curves across a map from town A to town B. A student wants to estimate the length of the river along its curve, but the ruler only measures straight lines. Describe one thing the student could do.
Slope as rate of change
8
A line passes through (1, 2) and (4, 11). What is the slope? What does it tell you about how y changes as x increases?
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