Fall Semester Exam Review Day 1 Cleary

Front

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

Back

The point-slope form is given by the equation: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

Front

What does the rate of change represent in a graph?

Back

The rate of change represents how much the dependent variable (y) changes for a unit change in the independent variable (x). It is often represented by the slope of the line.

Front

How do you calculate 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

Solve for x: 5(3 - x) < -2x + 6

Back

x > 3

Front

Solve the inequality: 3(x - 3) ≤ 2(x + 2)

Back

x ≤ 13

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) indicates the steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

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, and A should be non-negative.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and is represented by the equation x = a constant value.

Front

What does it mean for a line to be horizontal?

Back

A horizontal line has a slope of 0 and is represented by the equation y = a constant value.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).