Questions:
1. The addition method. Solve each by addition
2x = 2 - y
3x + y = -1
2. Solve each by addition method. Determine whether the equations are independent, dependent or inconsistent
X - y = 3
-6x + 6y = 17
3. -3x + 2y = 8
3x + 2y = 8
4. Equations involving fractions or decimals. Solve each system by the addition method
3/7x + 5/9y = 27
1/9x + 2/7y = 7
5. Pennies and nickels. Wendy has 52 coins consisting of nickels and pennies. If the value of the coins is $1.20 then how many of each type does she have?
6. Graphing linear inequalities. Graph each linear inequality
y≥ -3 + 4
#20 x<0
7. Graphing Compound Inequalities. Determine which of the ordered pairs (1,3), (-2,5), (-6, -4) and (7, -8) satisfy each compound or absolute value inequality
Y ≥x -5 or
y≤ -2x + 1
8. Absolute Value inequalities. Graph the absolute value inequalities.
|x + 2y| ≥6
9. Applications
Allocating resources. A furniture maker has a shop that can employ 12 workers for 40 hours per week at its maximum capacity. The shop makes tables and chairs. It takes 16 hours of labor to make a table and 8 hours of labor to make a chair. Graph the region that shows the possibilities for the number of tables and chairs that could be made in one week