Topic 2: Linear Equations Word Problem Review

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 slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).

Front

What is the y-intercept of a linear equation?

Back

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

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in slope-intercept form (y = mx + b), simply identify the value of b.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you convert from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms on one side.

Front

What is a word problem in mathematics?

Back

A word problem is a mathematical problem that is presented in the form of a story or real-life scenario, requiring interpretation and translation into mathematical equations.

Front

How do you set up an equation from a word problem?

Back

To set up an equation from a word problem, identify the variables, translate the words into mathematical operations, and write an equation that represents the situation.

Front

What is the meaning of 'descending' in a word problem?

Back

'Descending' means going down or decreasing in value, such as a plane lowering its altitude.

Front

If an airplane is descending at a rate of 2,000 feet per minute, how do you express its altitude after t minutes?

Back

The altitude after t minutes can be expressed as: Altitude = Initial Altitude - (Rate of Descent * Time) = 30,000 - 2,000t.