Algebra: Chapter 10-8, p 460
Mixture Problems
Whether they are acid mixes or coffee bean blends or mixed nuts, we treat these problems the same. 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, and , 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.
Math-8, Chapter 11-1, p 548
The Language of Geometry
- A point: a specific location in space with no size or shape
- A line: A line is a collection of points that extends indefinitely in 2 directions
- A line segment: A line segment is part of a line containing 2 endpoints and all points between the endpoints
- A ray: A ray is a portion of a line that extends from 1 point indefinitely in ONE direction.
- An angle: When 2 rays have a common endpoint, they form an angle
- Vertex: the common endpoint is called the vertex
- Sides: The rays are called the sides of the angle
- Degree: Common unit of measure for angles is the degree
- Acute angles: have measures greater than 0° but less than 90°
- Right angles: have measures of 90°
- Obtuse angles: have measures greater than 90° but less than 180°
- Straight angles: have measure of 180°
- Parallel lines: lines that never intersect, the symbol is ||
- Perpendicular lines: lines that intersect to form a right angle, the symbol is ⊥