Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. The solution is the set of values that satisfy all equations simultaneously.

Front

How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations reflect the problem's constraints.

Front

What does the variable 'n' represent in the equation 4n + 3p = 22?

Back

In this context, 'n' represents the price of a notebook.

Front

What does the variable 'p' represent in the equation 4n + 3p = 22?

Back

In this context, 'p' represents the price of a pen.

Front

How can you determine the price of items using a system of equations?

Back

By solving the system of equations, you can find the values of the variables that represent the prices of the items.

Front

What is the significance of the coefficients in a system of equations?

Back

The coefficients represent the quantity of each item in the equations, indicating how many of each item are being purchased.

Front

What does the term 'inequality' mean in mathematics?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

How do you graph an inequality like -x + y ≤ 2?

Back

First, graph the line y = -x + 2. Then, shade the region below the line to represent all points (x, y) that satisfy the inequality.

Front

What is the rate of change in a linear function?

Back

The rate of change is the ratio of the change in the dependent variable to the change in the independent variable, often represented as the slope of the line.

Front

How do you find the slope of a line from a graph?

Back

Select two points on the line, calculate the rise (change in y) and run (change in x), and then divide rise by run.