Simplify Polynomial Expressions and Solve Equations

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Solve Linear Equations and Analyze Linear Functions 2
Name:
1) Solve: 2(3 x  1)  4 x  x  1
2) Solve:
3
1
x5 
4
4
3) Solve:
1
2x
x3
4
5
5
4) I decide to walk home from school. School is 5 miles from home and I walk at an average rate of 4
miles per hour. This linear equation models this: M ( h)  5  4h , where M is my distance in miles from
home and h is the number of hours I’ve walked.
a) What does M (0) equal and what does it mean in the context of this story?
1
2
b) What does M ( ) equal and what does it means in the context of this story?
c) If you were to graph this equation, it would be a line. What is the slope of this line and what does it
mean in the context of this story?
d) What is the y-intercept of this line and what does it mean in the context of this story?
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