Algebra: Chapter 9, Lesson 6, page 421.
Graphing Systems of Linear Inequalities
We continue Chapter 9-5 techniques and solve 2 inequalities.
For the first equation, we can use any technique we learned from Chapter 7. Usually, the slope-intercept or `x` and `y` intercepts can be used to quickly define the line. Check a simple point like (0, 0) to see if that part of the ½ plane is true. If so, then shade that area.
Do the same for the other inequality and shade the appropriate ½ plane. The IMPORTANT PART is WHERE THE 2 INEQUALITIES OVERLAP THEIR SHADING, IS THE SOLUTION TO BOTH INEQUALITIES.
Remember, boundary lines of the form `<` or `>` are DASHED. The line is NOT part of the solution. Lines of the form `≤` or`≥` are solid because their line ARE part of the solution.
Again, the textbook is pretty good here but here are some more examples from purplemath.com too!
Two of tonight’s homework problems solved by MrE are here! Just click it.
======================================================================
Algebra 1a: Chapter 3 Review
Mixed Practice #6, page 623.
Make sure that your notes are up-to-date.
Bring your problems worked out and your questions for the Chapter 3 review. These type of questions will appear on the test. Make sure that your notes are up-to-date. Practice makes perfect
Remember how to do the whickity-whack divide thingy.
Remember too, the steps to SOLVING 2-STEP EQUATIONS:
- Multiply both sides to clear fractions or decimals, if necessary.
- Collect like terms on each side, if necessary.
- Use the addition property to move the variable to one side and all other terms to the other side of the equation.
- Collect like terms again, if necessary
- Add or subtract to isolate the variable and finally
- Use the multiplication or division or reciprocal properties to solve for the variable.