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 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 write a linear equation in slope-intercept form?

Back

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

Front

What is point-slope form of a linear equation?

Back

Point-slope form is written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you solve for a variable in a linear equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the purpose of writing a linear equation from a word problem?

Back

Writing a linear equation from a word problem helps to model real-world situations mathematically, allowing for easier analysis and solution.

Front

How can you determine the total cost from a linear equation involving fees?

Back

You can determine the total cost by substituting the number of hours or items into the equation and solving for the total.

Front

What does it mean to graph a linear equation?

Back

Graphing a linear equation means plotting points that satisfy the equation on a coordinate plane and connecting them to form a straight line.

Front

How do you find the number of items sold from a profit equation?

Back

To find the number of items sold, rearrange the profit equation to isolate the variable representing the number of items.