Week 17 – precalculus 11

The Sine Law For the longest time in math we were told we had to do multiple steps to find the side length or angle of a point of a triangle. If it was not a right angle we would have to cut it in half and find the values and sometimes double them to […]

Week 16 – precalculus 11

Solving Rational Equations To solve a rational equation we must cancel out the denominators. To do this we must multiply by each denominator, this will cancel them out but because we have to do the same for everything in the equation, we will have then multiply the numerators by the values that were not canceled […]

Week 15 – precalculus 11

Multiplying and Dividing Rational Expressions: Multiplying rational expressions is just like multiplying any other fraction, just multiply the top and bottom. Although if we are part of the expression is in a different form, we will need to factor it before multiplying. When it comes to division we just recipricate the fraction or “flip” it […]

Week 14 – precalculus 11

Equivalent Rational Expressions: To simplify a Rational Expression, we must factor the numerator and denominator, cancel out any common factors and find the Non-permissible values. We can better understand this by showing it. If we are given the expression We will then simplify or factor the top and bottom Now in a fraction, the denominator […]

Week 13 – precalculus 11

Graphing Ablsolute Value Functions and Piecewise Notation The way absolute value functions work is that the points can never be negative, so the line never goes into the negative zone on the graph. It will reflect back up instead. The point where it reflects on the x axis is called the critical point or x-intercept. […]

Week 12 – precalculus 11

Solving Systems of Equations Algebraically In this case, we will be using liner-quadratic systems. A system is a series of two equations in which you can substitute one equation and put it in the other and use this to find the values for x, usually by factoring at one point. You can also find Y […]

Week 11 – precalculus 11

Graphing Linear Inequalities with Two Variables: Linear Inequalities will give us a straight line on a graph. Not only do we need to know how this line looks using the equation, but we also need to understand where the answers to the inequality lies. When we are given inequalities we are usually given a y […]

Week 10 – precalculus 11

Dividing Radical Expressions: Dividing radicals is not as easy as multiplying, though it does include multiplying. We will need to use distributive property and potentially adding to rationlize the denominator. We cannot divide by a radical so we must make the denominator a whole number. We normally multiply the denominator by itself and multiply that […]

Week 9 – precalculus 11

Equivalent Forms of the Equation of a Quadratic Functions and finding x-ints: If one is given the equation it may seem like there is no way to find the vertex or starting point of the parabola, a line that goes down but then goes back up after a certain point. If we needed to find […]

Week 8 – precalculus 11

Transforming the Graph of There are three equations:     The first one adds q to the parent function of , this decides the Y intercept and so the parent either goes up or down when this is applied. The second one changes the x intercept and there changes the parabola side to side, if p […]