Alg Flashcard 6 Study Guide: System of Equation & Exponential

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is the graphical representation of a linear equation?

Back

A straight line on a coordinate plane.

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.

Front

What is an exponential function?

Back

A function of the form y = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

How do you identify a linear relationship?

Back

A relationship where the rate of change is constant, often represented by a straight line.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

Front

What is the y-intercept in a linear equation?

Back

The point where the line crosses the y-axis, represented by the value of b in y = mx + b.

Front

How do you write an equation for a real-world situation?

Back

Identify the variables, determine the relationship, and express it in equation form.

Front

What does it mean for two lines to intersect?

Back

It means that the two equations have a common solution, represented by the coordinates of the intersection point.