Systems of Equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

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.

Front

What is the solution of the system of equations y = 2x + 1 and y = 4x - 1?

Back

(1, 3)

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the lines intersect on a graph.

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

How do you find the slope of a line given an equation in standard form?

Back

Rearrange the equation to slope-intercept form (y = mx + b) to identify the slope (m).

Front

What is the slope of the line represented by the equation 3y = 9x + 12?

Back

3

Front

What is the y-intercept of the equation y = 30 + 12.5x?

Back

30

Front

What does the term 'x' represent in a system of equations?

Back

The independent variable, often representing the input value.

Front

What does the term 'y' represent in a system of equations?

Back

The dependent variable, often representing the output value.