24-25 Final Review #11

Front

Which equation represents the following: “Five times the number x increased by twelve makes forty.”

Back

Front

What is the x-intercept of the equation 2x + 5y = 20?

Back

The x-intercept is 10.

Front

Evaluate g(x) = x^2 + 5x - 6 for g(-2).

Back

g(-2) = -12.

Front

How are the lines 4x - y = -5 and 6x - 2y = -10 related?

Back

They have the same y-intercept.

Front

What is the x-coordinate of the solution to the system of equations y = -\frac{1}{3}x - 6 and x = -\frac{1}{3}y + 3?

Back

The x-coordinate is 6.

Front

Define the x-intercept of a line.

Back

The x-intercept is the point where the line crosses the x-axis, where y = 0.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you find the slope of a line given two points?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the quadratic formula?

Back