Review (Lines, Slopes, Like Terms, etc.)

Front

What is a line in mathematics?

Back

A line is a straight one-dimensional figure that has no thickness and extends infinitely in both directions.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate, indicating how steep the line is.

Front

Define 'like terms' in algebra.

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined through addition or subtraction.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean for a point to be part of the solution set of an equation?

Back

A point is part of the solution set if it satisfies the equation when substituted into it.

Front

What is the difference between substitution and elimination methods in solving systems of equations?

Back

Substitution involves solving one equation for a variable and substituting it into the other equation, while elimination involves adding or subtracting equations to eliminate a variable.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

Front

How do you determine if a point lies on a line represented by an equation?

Back

To determine if a point lies on a line, substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What does it mean for an equation to be in slope-intercept form?

Back

An equation is in slope-intercept form if it is written as y = mx + b, where m is the slope and b is the y-intercept.