Algebra: Chapter 5, Lesson 6, page 226.
We can write polynomials is ascending or descending order. For descending order, the term with the greatest exponent for our variable of interest is first, the term with the next greatest exponent for x is second and ….
`2x^4 − 12x^3 + (1/2)x^2 − 2x + 14` for example!
Finally, we can evaluate polynomials when we replace the variable by a number and calculate the resulting answer. This is called EVALUATING THE POLYNOMIAL.
Click here for some examples and hints from purplemath.com
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra 1a: Chapter 4, Lesson 4, page 183.
Using the Properties Together
Inequalities of 2 steps
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.
For example:
`7x + 4 ≤ 4x + 16`
subtract `4x` from both sides, that looks like
`7x – 4x + 4 ≤ 4x – 4x + 16`
now combine like terms on the left and the right sides
`3x + 4 ≤ 16`
subtract 4 from each side
`3x + 4 – 4 ≤ 16 – 4`
combine like terms again on both sides, so that
`3x ≤ 12`
and finally divide both sides by 3
`(3x)/3 ≤ 12/3`, so that finally
`x ≤ 4`
Go slow and show all the steps! Here are some more examples from purplemath.com
Two of tonight’s homework problems for Lesson 4 solved by MrE are here! Just click it!