College Algebra Semester 1 Review-2024

Front

Write the following in interval notation: x < 8

Back

(-∞, 8)

Front

Factor: 3v² - 4v - 7

Back

(3v - 7)(v + 1)

Front

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

Back

x = -3

Front

Write the equation of the line with slope 3/5 and y-intercept -1.

Back

y = 3/5x - 1

Front

Factor: 4h² - 17h + 4

Back

(h - 4)(4h - 1)

Front

What is the definition of a parabola?

Back

A parabola is a symmetric curve formed by the intersection of a cone with a plane parallel to its side.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

Define interval notation.

Back

A mathematical notation used to represent a range of values, typically expressed using parentheses and brackets.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a) for the quadratic ax² + bx + c.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).