Writing Equations

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the variable 'x' typically represent in equations?

Back

In equations, 'x' usually represents an unknown value that we are trying to solve for.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

What is the purpose of writing an equation in a word problem?

Back

Writing an equation helps to translate a real-world scenario into a mathematical form that can be solved.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is a constant in an equation?

Back

A constant is a fixed value that does not change, often represented by a number in an equation.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of x that makes the equation true.

Front

What is the first step in solving the equation 800 + 5x = 4000?

Back

The first step is to subtract 800 from both sides of the equation to isolate the term with x.