Linear equation word problems practice

Front

What is the equation for the total cost of a holiday meal for x people, given that it costs $12.50 per person plus a $30 delivery fee?

Back

y = 12.5x + 30

Front

If Sam ordered 4 tacos and 5 enchiladas for a total of $10.80, which equation represents this situation?

Back

4x + 5y = 10.80

Front

What does a linear equation provide when given a rate of change (slope) and a sample point (x,y)?

Back

It allows you to find the equation of the line.

Front

In the context of a dancing club, how would you express the total cost after joining, with a $30 startup fee and a $4 monthly fee?

Back

C = 30 + 4m, where m is the number of months.

Front

If the total cost to join a dancing club is $58, how many months has the member been enrolled?

Back

7 months

Front

What are the two points used to find a linear equation for the cost of tickets if 5 tickets cost $102 and 8 tickets cost $150?

Back

(5, 102) and (8, 150)

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

It represents the value of y when x = 0.

Front

If a linear equation has a slope of 2 and a y-intercept of 3, what is the equation?

Back

y = 2x + 3