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Equations, absolute value, and inequalities

1. (Solve system by the substitution method. Determine whether the equations are independent, dependent or inconsistent.)

2x - y = 3
2y = 4x - 6

2. (Solve system by the substitution method. Determine whether the equations are independent, dependent or inconsistent.)

y = 3(x - 4)
3x - y = 12

3. (Solve system by the addition method. Determine whether the equations are independent, dependent, or inconsistent.)

4x + 3y = 2
-12x - 9y = -6

4. (Solve system by addition method)

x - y = 100
0.20x + 0.06y = 150

5. How do you decide whether the boundary lines are solid or dashed?

4. Individual Homework Assignment - practice problems only

? Section 7.1 Exercises Pages 449-453 Problems 20, 28, 32, 54
? Section 7.2 Exercises Pages 460-462 Problems 22, 28, 34, 50
? Section 8.1 Exercises Pages 509-513 Problems 18, 26, 32, 50
? Section 8.2 Exercises Pages 519-522 Problems 16, 30, 62, 72
? Section 8.3 Exercises Pages 528-532 Problems 18, 28, 38

7.1
Solve each system of graphing
1. y= -2/3x
2X + 3Y=9
Solve each system by the substitution method. Determine whether the
equations are independent, dependent, or inconsistent
2. x= y + 3
3x - 2y=4
3. 2x - y= 4
3x-2y=4
Solve by the substitution method
4. x + 3y= 2
-x + y = 1

Solve by the addition system
5. x + y= 13
22x + 36y= 356
Solve each system by the substitution method. Determine whether the
equations are independent, dependent, or inconsistent
6. -3x +2y=8
3x+2y= 8
Solve by the addition method
7. 3/7x +5/9y = 27
1/9x +2/7y= 7
Solve by either the substitution or addition method whichever is easier
8. 2y-x=3
X=3y-5
Determine whether -4 satisfies each compound inequality
9. -3x>0 and 3x-4< 11
Graph the solution set to each compound equality
10. x > -2 and x&#8804; 4

11. x>3 or x < -3
Solve each compound inequality. Write the solution set in interval notation
and graph it.
12. -1 &#8804; 3 - 2x < 11

Solve each absolute value equation
13 l 3-3/4xl = ¼
14. 3- ½ l 1/2x-4l = 2
Solve each absolute value inequality and graph the solution set
15. 1/3 l 2x-1 l< 1
16. l 3x-7l&#8805; -3
Graph each compound inequality
17. x &#8805; -2y and
x- 3y<6
18. 3 - x< y + 2 or
X > y+ 5
Graph the absolute value inequalities
|x+2y|&#8805; 6

Solution Summary

This shows how to solve systems of two equations by substitution and addition, solving and graphing inequalities, and graphing absolute value equations.

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