Practice and Application Flashcards

A worker earns $52,000 per year. After a 7.5% raise, what is the new annual salary?

Answer: $55,600

Raise = $52,000 × 0.075 = $3,900; new salary = $52,000 + $3,900 = $55,900.

A student reads an argument that claims: 'All students who study daily pass their exams. Maria studies daily. Therefore, Maria will pass her exams.' This is an example of:

Answer: Deductive reasoning

This syllogism applies a general rule to a specific case to reach a conclusion — the definition of deductive reasoning.

A rectangular garden measures 12 meters by 9 meters. If a homeowner wants to add a 1.5-meter-wide path around the entire garden, what is the area of the path only?

Answer: 72 sq m

Outer dimensions = (12+3) × (9+3) = 15 × 12 = 180 sq m; garden = 108 sq m; path area = 180 − 108 = 72 sq m.

Which of the following best illustrates applying prior knowledge to solve a new problem?

Answer: Using the formula for area of a circle to find the area of a half-circle

Adapting the circle area formula to find a half-circle's area shows direct application of prior knowledge to a new scenario.

If 3x − 7 = 14, what is the value of x?

Answer: 7

3x = 21 → x = 7.

A business spends 40% of its $80,000 budget on marketing, 35% on salaries, and the rest on operations. How much goes to operations?

Answer: $20,000

Operations = 100% − 40% − 35% = 25%; 25% of $80,000 = $20,000.

A student notices that every time she reviews notes within 24 hours of a lecture, her quiz scores improve. She decides to make this a daily habit. Which principle is she applying?

Answer: Spaced repetition

Reviewing material at regular, short intervals after learning is the core principle of spaced repetition.