Linear Equation Word Problems

Front

Rate of change is also known as

Back

Slope

Front

A man is climbing down from 100 feet high descending 30 feet per minute. Write the equation for y.

Back

y = 100 - 30x

Front

Which situation can be represented by the equation y = 8x + 42.5?

Back

Christine buys some movie tickets for $8.00 each. Then she spends $42.50 on snacks at the concession stand. What is y, the total amount spent after buying x tickets?

Front

Bob has $150 in his savings account and saves $40 per month. Write the equation for y.

Back

y = 40x + 150

Front

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

Back

C = 2h + 15

Front

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

Back

The y-intercept represents the value of y when x is 0.

Front

What is the general form of a linear equation?

Back

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

Front

If a line has a slope of 3, what does this mean?

Back

For every 1 unit increase in x, y increases by 3 units.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the meaning of the initial value in a linear equation?

Back

The initial value is the starting point of the function, often represented by the y-intercept.