SEM2 IM1 homework

Review 4.10-4.13 

Answer the following questions in your notebook.
1.    What is the intersection of each pair of linear equations? Sketch the graphs.
a.    2x + 3y = 2 and y = x – 1
b.    Y – 2 = 3(x + 1) and x + y = 3
c.    Y = 2x and y = -x – 3

2.    How can you find the intersection of two lines?

3.    How can you determine from their equations whether two lines will intersect?

4.    Solve each inequality. Graph your solution on a number line.
a.    3x – 5 > 1
b.    X – 8 > 2x – 5
c.    X – 2 < 7

5.    Graph each inequality on a coordinate plane.
a.    y > 5x- 3 
b.    2y + 3 < 4x
c.    -2x + -y > 5

6.    How do the solutions of inequalities relate to the solutions of equations?

7.    One taxi charges $1.10 for the first mile and $1 for each additional mile. Another taxi charges $2.30 for the first mile and $0.60 for each additional mile. For what distances will the first taxi be less expensive than the second?

8.    Graph the system of inequalities. Find the solution.
          Y > 3x and y < -1/2x + 2
 

5.14 Allowance:

You have seen a proposal from Adam that is not reasonable for his mother. His mother countered with a new proposal but this plan is not right for Adam. Your turn. Create a plan for Adam that his mother will accept. This rule cannot be like $5 per week. Be creative with your rule, yet reasonable. 

1. Write out the new and improved allowance proposal.
2. Solve the proposal. Show a table from 1 week to 15 weeks with the outputs.
3. Is this proposal reasonable for Adam and his mother? Why?

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