Algebra I and Geometry Concepts Flashcards

What is the slope of the line passing through the points (2, 5) and (6, 13)?

Answer: 2

Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

Which equation represents a line with a y-intercept of -3 and a slope of 4?

Answer: y = 4x - 3

Slope-intercept form is y = mx + b, so y = 4x - 3 has slope 4 and y-intercept -3.

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 180 - 45 - 75 = 60°.

Solve for x: 3(x - 4) = 2x + 1

Answer: x = 13

3x - 12 = 2x + 1, so x = 13.

What is the area of a circle with a radius of 7 cm? (Use π ≈ 3.14)

Answer: 153.86 cm²

Area = πr² = 3.14 × 7² = 3.14 × 49 ≈ 153.86 cm².

If f(x) = 2x² - 3x + 1, what is f(3)?

Answer: 10

f(3) = 2(9) - 3(3) + 1 = 18 - 9 + 1 = 10.

Two parallel lines are cut by a transversal. If one alternate interior angle measures 72°, what is the measure of the other alternate interior angle?

Answer: 72°

Alternate interior angles are congruent when lines are parallel, so the angle is also 72°.