May | 2018 | Sarah's Blog

Sarah's Blog

Week 15 – Solving Rational Equations

One method for solving rational equations is to cross multiply. However, cross-multiplying only works with two fractions. Ex. Multiply the numerator of the first fraction by the denominator of the second fraction. Then multiply the numerator of the second fraction by the denominator of the first fraction. , , Another way of solving rational equations…

Week 14 – Rational Expressions

A rational expression is a fraction in which the numerator and the denominator are polynomials. Examples of rational expressions: Non-permissible values are like restrictions. The denominator of a fraction cannot be 0 so we have to give restrictions for all values that make the denominator 0. For example, the non-permissible values for the equation, are 0 and…

Week 13 – Reciprocal Linear Functions

The reciprocal is when 1 is divided by the number or function. For example: The reciprocal function of y = 5x – 2 is The graph of y = 5x – 2 looks like this: The graph of looks like this: This is called a hyperbola. The points (0.2, -1) and (0.6, 1) are both…

Week 12 – Solving Systems of Equations Algebraically

This is a linear-quadratic system: y = x + 4 y = x2 + x To solve it algebraically, make sure a variable is isolated, and then substitute the y value of one equation into the other. The variable y is already isolated. Let’s substitute y = x + 4 in the second equation. x…