• Mathematics Standard
• Year 11

# Algebra and Linear Modelling

approx. 9 hrs

6 topics

22 concepts

Enrol in Algebra and Linear Modelling to master algebraic manipulation and modelling.

Available in
NSW

### Overview

Algebra and Linear Modelling covers formulae, equations and linear relationships. We help students develop a confident ability to manipulate algebraic formulae to solve related practical problems such as stopping distance of vehicles, blood alcohol content and medication dosages. In addition, students will learn to work effectively with linear models to solve direct variation problems.

### Topics & Concepts We Cover

This learning program is made up of the following 6 topics, broken down into 22 concepts.

• #### Linear Equations 3 concepts

1. Solve linear equations involving more than one algebraic fraction

2. Solve two-step equations

3. Solve linear equations involving more than three steps

• #### Substitution 3 concepts

1. Solve a given formulae through substitution where the unknown is NOT the subject of the equation

2. Calculate stopping distances for a vehicle using substitution into formulae

3. Substitute values into linear and non-linear expressions

• #### Blood Alcohol Content 3 concepts

1. Use formulae to calculate an estimate for blood alcohol content

2. Determine the number of hours required for a person to stop consuming alcohol in order to reach zero BAC

3. Describe limitations of methods estimating BAC

• #### Medicine Dosages using Formulae 3 concepts

1. Using a given formula for medication

2. Using Fried’s, Young’s or Clark’s formula to calculate dosage for children's medication

3. Converting a concentration for medicines

• #### Graphs of Linear Relationships 6 concepts

1. Classify the nature of a gradient from a linear function

2. Reading the x and y intercept from a graph

3. Sketch a linear relationship from a table of values on a cartesian plane

4. Determine the gradient and y-intercept using the gradient-intercept form of a linear relationship

5. Use the gradient and y-intercept to graph a linear equation

6. Find the gradient of a line between two points using rise over run

• #### Linear Models 4 concepts

1. Currency conversions using linear models

2. Solve a direct variation problem

3. Interpret linear models

4. Construct a linear model

### What you'll get Learning Content

• A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
• All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions An Expert Tutor

• We match you to a private, expert tutor who is right for your needs and goals
• Our tutors are talented, tested, top ATAR achievers and subject experts
• During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Algebra and Linear Modelling Reporting

• Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
• You and your parents receive a comprehensive feedback report after every session
• Every session is recorded and available for you to watch at any time, allowing you to review what was covered

### Ready to start this program? Simply pick a time that works for you  We'll be in contact to match you with one of our top tutors and book your first session

Starting at

\$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime