#Algebra #Year11 #Standard >[!info]- [Formulas and Equations | NSW Curriculum Website](https://curriculum.nsw.edu.au/learning-areas/mathematics/mathematics-standard-11-12-2024/content/n11/fa346f5353) >- MST-11-01 selects and applies algebraic techniques to solve problems involving equations and formulas ## 📖 Prior Knowledge | Content | Prior knowledge | Used for | | ---------------------------------------------- | ----------------------------------------- | ----------------------------------------------------- | | [[Equations A]] | - using formulas | - *repeated content*<br>- BAC and medication formulas | | [[Stage 4/Ratios and Rates\|Ratios and Rates]] | - rate conversions and speed calculations | - stopping distance | ## Formulas and equations - Substitute numbers into linear and non-linear algebraic expressions, equations and formulas - Evaluate the subject of a formula, given the value of other pronumerals in the formula - Calculate distance, speed and time (with change of units of measurement as required) and stopping distances of vehicles using $speed = \frac{distance}{time}$ and $stopping\ distance = reaction\ distance + braking\ distance$ - Apply the formulas $BAC_{\text{male}}=\frac{10N-7.5H}{6.8M}$ and $BAC_{\text{female}}=\frac{10N-7.5H}{5.5M}$ to calculate and interpret blood alcohol content (BAC) based on drink consumption and body weight, where $N$ is the number of standard drinks consumed, $H$ is the number of hours drinking and $M$ is the person's weight in kilograms. - Apply the formula $Time = \frac{BAC}{0.015}$ to determine the number of hours required for a person to stop consuming alcohol in order to reach zero BAC - Identify and explain the limitations of methods used to estimate BAC - Calculate the required medication dosages for children and adults given age or weight, using Fried’s, Young’s and Clark’s formula as appropriate - Apply given formulas to solve problems in a variety of contexts - Change the subject of linear and non-linear formulas limited to quadratics of the form $y=ax^2+c$ to solve problems and make decisions about solutions in the context of the problem - Represent a word problem as a linear equation, solve the equation and interpret the solution in the context of the problem - Use a spreadsheet to perform calculations involving formulas