Algebra: Chapter 5, Lesson 7, page 231.
Addition of Polynomials
When we add polynomials, it can be easier if we order them in descending order for one of the variables. We can add polynomials in 2 ways:
- Horizontally – scan across the polynomials and see what terms can be combined. REMEMBER, we can add terms ONLY IF they have the SAME VARIABLES and the SAME EXPONENTS.
- Vertically – leave space for terms that are missing when making the columns, see the examples in the textbook on pagee 232.
Here is a link with more examples.
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra 1a: Chapter 4, Lesson 5, page 187.
Using Inequalities
We learned key phrases for lesson 5 (word translation problems):
- “Less than or equal to”, “is at most”, “no more than” — ≤
- “No less than”, “at least”, “more than or equal to” — ≥
- “Is less than” — <
- “Is greater than” — >
We learned to read the problem, draw a picture or understand what is being asked of us before we start solving an equation or inequality.
Remember for 2 step inequalities, we do the same, again, as equalities and solve by:
- Distributing when required
- Combining like terms
- Adding or subtracting terms to isolate variables and numbers (constants)
- Multiplying or dividing to finish solving for the variable, remembering to reverse the sign of the inequality IF we multiply or divide by a NEGATIVE NUMBER.
Here are some keyword descriptions from purplemath.com to help us with word problems (ugh …)
Two of tonight’s Lesson 5 homework problems solved by MrE are here! Just click it!