College Algebra Semester 1 Review

Front

Write the point-slope form equation of the line through (3, -5) with a slope of -8/3.

Back

y + 5 = -8/3 (x - 3)

Front

Factor x^2 + 9x - 36.

Back

(x + 12)(x - 3)

Front

The solution (x, y) to a system of equations is the point where they...?

Back

Intersect

Front

What is the solution to the equation 2x + 2 = 0?

Back

x = -1

Front

Identify the zeros of the function f(x) = x^3 - 2x^2 - 3x.

Back

x = -2, x = 0, x = 1

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What is the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 and solve for y.

Front

What does it mean for two lines to be parallel?

Back

They have the same slope and will never intersect.

Front

What is the vertex form of a quadratic function?

Back

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