Writing Equations from Word Problems

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you write an equation from a word problem?

Back

Identify the variables, determine the relationship between them, and translate the words into a mathematical equation.

Front

In the equation C = 25 + 50h, what does C represent?

Back

C represents the total cost charged by the plumber after h hours of service.

Front

What does the variable h represent in the equation C = 25 + 50h?

Back

h represents the number of hours of service provided by the plumber.

Front

What is the first step in solving a word problem involving equations?

Back

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

Front

What does the equation 15x + 20y = 150 represent in Jenny's shopping scenario?

Back

It represents the total cost of x T-shirts at $15 each and y hoodies at $20 each, totaling $150.

Front

How do you determine the coefficients in a linear equation from a word problem?

Back

The coefficients represent the cost per item or the rate of change in the context of the problem.

Front

What is the significance of the constant term in a linear equation?

Back

The constant term represents a fixed amount that does not change with the variables.

Front

In the equation 12x + 14y = 708, what do x and y represent?

Back

x represents the number of small t-shirts sold, and y represents the number of large t-shirts sold.

Front

How can you find the number of items sold if you know the total revenue and the prices?

Back

You can substitute the known values into the equation and solve for the unknown variable.