Linear Equation Word Problems

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 in a linear equation represent?

Back

The slope 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 in 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 is 0.

Front

How do you represent a word problem as a linear equation?

Back

Identify the variables, determine the relationships between them, and translate the relationships into an equation.

Front

What is the first step in solving a linear equation word problem?

Back

Read the problem carefully to understand what is being asked and identify the relevant information.

Front

If a landscaping company bought 25 plants and trees for $964, how can you express the total number of plants (p) and trees (t) in an equation?

Back

p + t = 25

Front

How do you express the total cost of plants and trees in a linear equation?

Back

12p + 95t = 964, where p is the number of plants and t is the number of trees.

Front

What equation represents the cost of a holiday meal for x people, including a delivery fee?

Back

y = 12.5x + 30, where y is the total cost.

Front

How can you express the descent of an airplane in a linear equation?

Back

0 = 30100 - 2150x, where x is the time in minutes.

Front

What equation can be used to find how much money Sandra has left on her gift card after x months?

Back

y = -3x + 20, where y is the remaining balance.