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!
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Algebra 1a: Chapter 9, Lesson 2, page 405.
Compound Sentences
Conjuctions and Disjunctions are like Intersections and Unions (respectively) from lesson 9-1. A disjunction of 2 statements is formed by connecting them with the word “or”. A disjunction is true when one or both statements are true.
A conjunction of 2 statements is formed by connecting them with the word “and”. A conjunction is true when both statements are true.
Two of tonight’s homework problems solved by MrE are here! Just click it!