Algebra: Chapter 10, Lesson 4, page 442.
Adding and Subtracting Rational Expressions with Like Denominators
To add or subtract rational expressions with like denominators, add or subtract the numerators, and write the sum or difference over the common denominator. DON’T FORGET TO SIMPLIFY/FACTOR THE FINAL ANSWERS!
For example:
`(4m)/3+(5m)/3=(4m+5m)/3=(9m)/3=3m`
and another example,
`(2x^2+3x-7)/(2x+1)+(x^2+x-8)/(2x+1)`
Since the denominators are the same, we can just smash the numerator together being mindful of the signs to give us `=(2x^2+3x-7+x^2+x-8)/(2x+1)` which becomes when we combine like terms `=(3x^2+4x-15)/(2x+1)`
Factoring the numerator we arrive at a final answer of: `((x+3)(3x-5))/(2x+1)`
Here is a link from purplemath but it is more geared toward tomorrow’s lesson with different denominators.
Two of tonight’s homework problems solved by MrE are here! Just click it!
======================================================================
Algebra: Chapter 8, Lesson 1, page 358.
Solving Systems of Equations by Graphing
A set of equations for which a common solution is sought is called a SYSTEM OF EQUATIONS. A solution of a system of 2 equations in 2 variables (x, y) is an ordered pair that makes both equations true.
Take 2 linear equations and graph them (with at least 2 points for each linear equation) and where they INTERSECT is a “SOLUTION” to BOTH equations.
Pretty simple to do, but it can be time consuming in that you have to have graph paper and a ruler and some time ….
Here is a link with LOTS of examples from purplemath.com. It goes on for 2 pages so make sure that you see them both!
Two of tonight’s homework problems solved by MrE are here! Just click it!