Algebra: Chapter 8, Lesson 6, page 387.
Digit and Coin word problems.
Just remember to write the coin problems with the d (dime), q (quarter), n (nickel) preceeded by the value of the coin remembering that the d, q or n stand for the number of that type of coin. For example, `.05n + .10d = 2.05`. You can then multiply both sides by `100` to clear the decimals.
Remember too, that any 2-digit number can be expressed as `10x + y` where `x` is the digit in the tens place and `y` is the digit in the one (units) place. For example, the number `23` can be written as `10 * 2 + 3`. If we reverse the digits in the original number, the new number can be expressed as `10y + x`. The reverse of `23`, `32` can be written as `10 * 3 + 2`.
Here is a link for some examples of coin problems and here is a link for digit type problems (about 1/2 the way down the page)!
Two of tonight’s homework problems solved by MrE are here! Just click it!
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Algebra: Chapter 4, Lesson 3, page 180.
The Multiplication Property of Inequalities
The property states if `c` is POSITIVE
- if `a < b`, then `ac < bc` and
- if `a > b`, then `ac > bc`
Where `c` is NEGATIVE
- if `a < b`, then `ac > bc` and
- if `a > b`, then `ac < bc`
Following the EXACT same steps as equalities, we have learned to solve 1 step equations with inequalities. The ONLY difference is when multiplying or dividing by a NEGATIVE number, we must REVERSE the sign of the inequality for the final solution!! If we divide or multiply by a positive number, we leave the inequality sign alone.
Here are some examples from purplemath.com that have to do with inequalities with products and divisions.
Two of tonight’s homework problems are here for Chapter 4-3 as well!