Wednesday 12-18 Equations and Tables

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does 'y = x + 5' represent?

Back

This equation represents a linear relationship where the value of y increases by 1 for every increase of 1 in x, starting from 5.

Front

How do you identify the equation that matches a table of values?

Back

To identify the equation, look for a consistent pattern in the changes of x and y values, and determine the relationship between them.

Front

What is the meaning of 'x - y = 5'?

Back

This equation indicates that the difference between x and y is always 5.

Front

What does 'x ÷ y = 4' imply?

Back

This equation implies that for any values of x and y, the value of x is always 4 times the value of y.

Front

How can you express a typing speed of 50 words per minute in an equation?

Back

You can express it as w = 50m, where w is the total words typed and m is the number of minutes.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one, and it graphs as a straight line.

Front

What does the term 'variable' mean in mathematics?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value in an equation or expression.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables.

Front

What does 'y = x - 3' indicate about the relationship between x and y?

Back

This equation indicates that y decreases by 1 for every increase of 1 in x, starting from -3.