Algebra: Chapter 10, Lesson 8, page 460.
Mixture Problems
Whether they are acid mixes or coffee bean blends or mixed nuts, we treat these problems the same. `x` will stand for the amount of one of the mixes and the (total amount – x) is the amount of the other mix. Convert percentages to decimals (remember `D2P`?) and use monetary cost per pound as decimals (like 2 dollars and 4 cents is equal to 2.04) and you’ll be fine.
The problems CAN be solved with 2 variables, `x` and `y`, BUT it requires 2 equations and substitution – I think it is just twice the work of developing one equation with just 1 variable. For these problems, the book and I agree on the easiest method!
Here is a great Purplemath link.
Two of tonight’s homework problems solved by MrE are here! Just click it
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Algebra 1a: Chapter 9, Lesson 4, page 413.
Inequalities and Absolute Value
If the inequality with absolute values looks like: `| A | < b`, then we solve the conjunction `-b < A < b`. Think of a number line, and the solution will be within the bounds of `-b` and `b`. This also works with `≤`.
If the inequality with absolute values look like: `| A | > b`, then we solve the disjunction `A < -b` OR `A > b`. On the number line, these solutions look like arrows on the outside of the values `-b` and `b`. This works for `≥` as well.
Two of tonight’s homework problems solved by MrE are here! Just click it