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

Front

How do you write a linear 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 Sandra has a $20 iTunes gift card and spends $3 each month, what is the equation to find her remaining balance after x months?

Back

y = -3x + 20

Front

An airplane starts at 30,100 feet and descends at 2,150 feet per minute. Write the equation to find the time to reach the ground.

Back

0 = 30100 - 2150x

Front

Bob saves $40 per month starting with $150. What equation represents his savings after x months?

Back

y = 40x + 150

Front

A holiday meal costs $12.50 per person plus a $30 delivery fee. Write the equation for the total cost for x people.

Back

y = 30 + 12.5x

Front

You sell lemonade for $2 and orange drinks for $3, totaling $240. Write the equation for the number of drinks sold.

Back

2x + 3y = 240

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.