College Algebra Semester 1 Review

Front

Factor the expression: x^2 + 9x - 36

Back

(x + 12)(x - 3)

Front

Model the situation: The price of a candy cane (c) and peppermint bark (p) cost 7 dollars. Peppermint bark costs twice the amount of a candy cane.

Back

c + p = 7, p = 2c

Front

What does the graph of the equation x = -4 look like?

Back

Vertical line

Front

Identify the solution of the system of equations: 5x + 7 = 4y and 2x - 1 = y + 1.

Back

(5, 8)

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4

Front

Define a quadratic equation.

Back

An equation of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the vertex of a parabola given by the equation y = ax^2 + bx + c?

Back

The vertex is at the point (-b/(2a), f(-b/(2a))).

Front

Solve for x: 3(x - 2) = 12.

Back

x = 8

Front

What is the discriminant of a quadratic equation and what does it indicate?

Back

The discriminant is b^2 - 4ac; it indicates the nature of the roots (real and distinct, real and equal, or complex).

Front

What is the slope-intercept form of a linear equation?

Back

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