Writing Linear Equations from Word Problems

Front

What is a linear equation?

Back

A linear equation is an equation that represents 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 (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What is the y-intercept (b) in a linear equation?

Back

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

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

Front

If Gracie increases the length of her garden by 5 and doubles the width, what is the new area equation?

Back

A = 2wl + 10w.

Front

If Lisa bought 3 more shirts than twice the number of pants, how is this represented in an equation?

Back

s = 3 + 2p.

Front

What is the total cost equation for Ace Telecommunications?

Back

c = 0.12m + 8.

Front

How do you determine the monthly bill for Juanita's cell phone usage?

Back

C = 15 + 0.20x.

Front

What does it mean when two points are given in a problem?

Back

It means you can use the equation y - y1 = m(x - x1) to find the slope and y-intercept.

Front

What is the formula for calculating the area of a rectangle?

Back

A = lw, where l is the length and w is the width.