Mathematics Flashcards

Which property is illustrated by: 4 × (3 + 2) = 4 × 3 + 4 × 2?

Answer: Distributive property

The distributive property states that a(b + c) = ab + ac.

A triangle has angles measuring 45° and 75°. What is the measure of the third angle?

Answer: 60°

The sum of angles in a triangle is 180°, so the third angle = 180° − 45° − 75° = 60°.

What is the greatest common factor (GCF) of 36 and 48?

Answer: 12

The factors of 36 include 1, 2, 3, 4, 6, 9, 12, 18, 36 and of 48 include 1, 2, 3, 4, 6, 8, 12, 16, 24, 48; the greatest common factor is 12.

A number is multiplied by 6 and then 4 is subtracted. The result is 26. What is the number?

Answer: 5

Let n be the number: 6n − 4 = 26 → 6n = 30 → n = 5.

On a coordinate plane, in which quadrant is the point (−3, 4) located?

Answer: Quadrant II

Quadrant II contains points with a negative x-value and positive y-value, which matches (−3, 4).

A shirt originally costs $40 and is on sale for 25% off. What is the sale price?

Answer: $30

25% of $40 = $10, so the sale price = $40 − $10 = $30.

Which of the following is an example of an irrational number?

Answer: √7

√7 ≈ 2.6457... is a non-terminating, non-repeating decimal, making it irrational.