Writing Linear Equations from Word Problems

What are the three unknown variables in the problem of eighth graders selling t-shirts and caps?

• Number of t-shirts, number of caps, and revenue

• Number of t-shirts, number of caps, and total cost

• Number of t-shirts, number of caps, and profit

• Number of t-shirts, number of caps, and total sales

If the students sell 30 t-shirts and 50 caps, what is their total profit?

• $500

• $700

• $450

• $650

How much profit do the students make if they sell 15 t-shirts and 10 caps?

• $150

• $175

• $200

• $225

What is the profit equation for selling 12 t-shirts and 20 caps?

• P = 10s + 20c

• P = 10s + 5c

• P = 5s + 20c

• P = 5s + 10c

Which form of linear equation is most natural when one variable depends on another?

• Exponential form

• Slope-intercept form

• Quadratic form

• Standard form

What is the standard form of a linear equation?

• ax + by = 0

• y = ax + b

• ax + by = c

• y = mx + b

Why can't you graph an equation in standard form directly on a calculator?

• Standard form requires special software

• Calculators only support y = mx + b form

• Standard form is too complex

• Calculators do not support standard form

What is the first step in converting an equation from standard form to slope-intercept form?

• Add the x term to both sides

• Multiply by the coefficient of y

• Divide by the coefficient of y

• Subtract the x term from both sides

What is the slope-intercept form of the equation 600 = 5s + 10c?

• y = 1/2x + 60

• y = -2x + 60

• y = -1/2x + 60

• y = 2x + 60

Why is it useful to convert an equation to slope-intercept form for calculator purposes?

• All of the above

• It helps in finding solutions using the calculator's table

• It allows for easier graphing

• It simplifies the equation