Mathematics Content Areas Flashcards

A line passes through points (2, 3) and (4, 7). What is the slope of the line?

Answer: 2

Slope = (y₂ - y₁) ÷ (x₂ - x₁) = (7 - 3) ÷ (4 - 2) = 4 ÷ 2 = 2.

What is 15% of 240?

Answer: 36

15% of 240 = 0.15 × 240 = 36.

A triangular prism has a triangular base with area 6 cm² and a length of 10 cm. What is its volume?

Answer: 60 cm³

Volume of a prism = base area × length = 6 × 10 = 60 cm³.

Which expression is equivalent to (x + 3)(x - 2)?

Answer: x² + x - 6

Using FOIL: x² - 2x + 3x - 6 = x² + x - 6.

A spinner has 8 equal sections numbered 1 through 8. What is the probability of spinning an even number?

Answer: 1/2

Even numbers 2,4,6,8 = 4 out of 8 sections = 4/8 = 1/2.

What is the median of the data set: 12, 7, 15, 9, 11, 14, 8?

Answer: 11

Ordered: 7, 8, 9, 11, 12, 14, 15; the middle value (4th) is 11.

Two angles are supplementary. One angle measures 65°. What is the measure of the other angle?

Answer: 115°

Supplementary angles sum to 180°; 180° - 65° = 115°.