Linear Equations 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 variable 'C' represent in the equation C = 0.20x + 15?

Back

The variable 'C' represents the total monthly cell phone bill.

Front

How do you determine the slope in a linear equation?

Back

The slope is determined by the coefficient of x in the equation, representing the rate of change.

Front

What is the y-intercept in the equation C = 0.20x + 15?

Back

The y-intercept is 15, which represents the fixed cost of the cell phone bill.

Front

If Evan spends $10 to enter the fair and $2 per ride, how can you express the total cost as a function of rides?

Back

The total cost can be expressed as y = 2x + 10, where x is the number of rides.

Front

What does the variable 'x' represent in the equation y = 2x + 10?

Back

The variable 'x' represents the number of rides Evan goes on.

Front

How can you write an equation to find out how many weeks it will take Ellie to reach her target weight?

Back

You can write the equation as 150 - 2w = 110, where w is the number of weeks.

Front

What is the solution to the equation 150 - 2w = 110?

Back

The solution is w = 20 weeks.

Front

If Julie has 72 quarters, how do you find the total value of her quarters?

Back

The total value of her quarters is 72 * 0.25 = $18.

Front

How do you calculate the total cost of renting skis for 5 hours at $8.50/hour with a $25 deposit?

Back

Total cost = $25 + (5 * $8.50) = $25 + $42.50 = $67.50.