The document provides a summary of math concepts and example problems for review before a test on Monday, including: - Systems of equations and inequalities, with examples of solving systems by substitution and elimination - Determining the number of movie rentals at which two video clubs have the same total cost, found by setting their cost functions equal to each other and solving - A word problem about determining the individual prices of gloves and hats from the total costs and quantities purchased by two shoppers

1. Friday January 25, 2013
Today:
Warm-Up: < 4000(.002)
Review for Test Monday: < (100/9.09)
Systems of Equations & Inequalities
All Class Work from Friday, Wednesday &
Thursday due Today

2. Warm- Up
1. Write the equation of a line parallel to 3x - y = 18, and
passing through the point (3,2).
2. 4a² • 5a 3. 5ab² • 12ab 4.
2a 6ab
5. A $320 television is discounted by 19%. What is the new
price rounded to the nearest cent?
6. If 7x + 4 = -19, then 2x -14 equals...

3. Review: Systems of Equations & Inequalities
1. Solve: 2. Solve:
2x + 3y = -26 2x + 3y = 4
4x - 3y = 2 9x - 2y = -13
3. Solve:
5x - 7y = 9
y = 3x - 2
4.

4. Review: Systems of Equations & Inequalities
5. Name the solution: 6. Graph the solution:
2x + 3y< 6
x - 4y < 4

5. Review: Systems of Equations & Inequalities
7. Solve 3x + y + 2z = 6
6y + 5z = -4
-4z = 8
8. Solve: -3x - 2y - z = -17
3x + 5y = 29
-5x = -15
9. Solve for c and d:
10. Solve for x and y:
9(x - 1) = 2 - 4y
2y + 7x = 3

6. Review: Systems of Equations & Inequalities(2)
Video club A charges $10 for membership and $3 per
movie rental. Video club B charges $15 for membership
and $2 per movie rental. For how many movie rentals will
the cost be the same at both video clubs? What is that
cost?
Understand the Problem
The answer will be the number of movies rented for
which the cost will be the same at both clubs.
List the important information:
• Rental price: Club A $3 Club B $2
• Membership: Club A $10 Club B $15

7. Review: Systems of Equations & Inequalities
Total
Make a Plan cost
is price per rental plus member-
ship fee.
• Rental price: Club A $3 Club B $2
• Membership: Club A $10 Club B $15
Solve
Graph y = 3x + 10 and y = 2x + 15.
The lines appear to intersect at (5, 25)
The cost will be the same for 5 rentals
and the total cost will be $25.

8. Review: Systems of Equations & Inequalities
And Finally.....
A shopper bought two pairs of gloves and four hats for
$43.00. Her friend bought two pairs of gloves and two
hats for $30.00. What is the price of each item?