ALGEBRA: Semester 1 Review

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

What is the slope of a line with an undefined slope?

Back

The slope of a line with an undefined slope is vertical.

Front

Evaluate f(-2) if f(x) = x² + 3.

Back

f(-2) = (-2)² + 3 = 4 + 3 = 7.

Front

How do you model a taxi fare scenario with an inequality?

Back

The inequality is 2.50x + 5 ≤ 20, where x is the number of miles.

Front

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

Back

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

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x.

Front

What is the y-intercept in the equation y = 3x + 2?

Back

The y-intercept is 2, which is the value of y when x = 0.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b.