Mathematics Content Areas Flashcards

What is the perimeter of a square with a side length of 9 inches?

Answer: 36 inches

Perimeter of a square = 4 × side = 4 × 9 = 36 inches.

Which inequality represents 'x is at least 7'?

Answer: x ≥ 7

'At least 7' means x can equal 7 or be greater, so x ≥ 7.

A car travels 180 miles in 3 hours. What is its average speed in miles per hour?

Answer: 60 mph

Speed = distance ÷ time = 180 ÷ 3 = 60 mph.

What is the greatest common factor (GCF) of 24 and 36?

Answer: 12

Factors of 24: 1,2,3,4,6,8,12,24; factors of 36: 1,2,3,4,6,9,12,18,36; GCF = 12.

Solve for y: 3y - 9 = 15

Answer: y = 8

3y = 15 + 9 = 24, so y = 24 ÷ 3 = 8.

A cylinder has a radius of 5 cm and a height of 10 cm. Using π ≈ 3.14, what is its volume?

Answer: 785 cm³

Volume = π × r² × h = 3.14 × 25 × 10 = 785 cm³.

Which number is irrational?

Answer: √50

√50 cannot be expressed as a simple fraction; √16=4, √25=5, √36=6 are all rational.