Linear Equation Worksheet With Answers

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Writing Linear Equations from a Context
Word problems in Slope-intercept form
When a word problem involves a constant rate or speed and a beginning amount, it can be written in
 . To do this, recognize which number will represent m, the rate, and
slope-intercept form: y mx b
which number will represent b, the y-intercept.
1. An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute.
Assume the plane continues at the same rate of descent. The plane’s height and minutes above the
ground are related to each other.
Identify the variables in this situation: x= _________________ y= __________________
What is the given information in this problem (find all that apply)?
y-intercept ________ slope _____
a. Write an equation to model the situation.
b. Use your equation to find the altitude of the plane after 5 minutes.
2. Suppose you receive $100 for a graduation present, and you deposit it in a savings account. Then
each week thereafter, you add $5 to the account but no interest is earned. The amount in the account
is a function of the number of weeks that have passed.
Identify the variables in this situation: x= _________________ y= __________________
What is the given information in this problem (find all that apply)?
y-intercept ________ slope _____
a. Find an equation for the amount y you have after x weeks.
b. Use your equation to find when you will have $310 in the account.

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