5 exercises · 4 automatically checked · 1 written self-check · Untimed
4 questions · Shuffled order · Untimed practice
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The ratio of red to blue tiles is 2 : 5. There are 84 tiles total. How many are blue?
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
60 blue objects. The ratio 2 : 5 has 7 total parts. Each part represents 84/7
An item costs $72 after a 10% discount. What was its original price?
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
80 dollars. Let P be the original price. A 10% discount leaves 90% of P, so 0.90P
A walker travels at 72 meters per minute for 35 seconds. How far, in meters, does the walker travel?
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
42 meters.
Convert the time before multiplying:
72 · 35 s ·
Alternatively, 72 meters per minute is 1.2 meters per second; then 1.2(35)
A group needs 157 chairs and already has 22. Chairs can be rented only in bundles of 10 for $18 per bundle. What is the minimum rental cost?
Enter an integer, decimal or fraction without units. Use up to 5 characters, or 6 including a leading minus.
252 dollars. The shortage is 157 − 22
Review Translating words into mathematics
Write your complete response before opening the model answer. Compare both your answer and your reasoning.
Write an expression for four less than three times n.
3n − 4. Start with three times n, namely 3n, and subtract 4. “Four less than” modifies that amount; it does not mean 4 − 3n. A test value such as n
Check the comparison base, the meaning of the ratio denominator, the direction of the unit conversion, and the whole-bundle requirement. An answer that fits the arithmetic but not the story is not a complete solution.
Before calculating, you should be able to identify the comparison base, define a variable with units, and explain each term in your model. Whole-item constraints require testing neighboring integers, not blindly rounding to the nearest integer.