# Unit Overview: Solving linear simultaneous equations algebraically

## Lessons:

16 lessons

### Reviewing solving equations

In this lesson, we will review how to solve equations. We will then convert worded operations into algebraic terms to make them easier to solve.

• 1 Quiz
• 10m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Equivalent equations

In this lesson, we will explore equations and develop our ability to be able to idenitfy equivalent equations in a list.

• 2 Quizzes
• 8m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Linear relationships

In this lesson, we will learn how to use relationships between linear sequences to find new sequences.

• 2 Quizzes
• 8m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Combining algebraic relationships

In this lesson, we will learn to use equivalence to combine algebraic relationships.

• 2 Quizzes
• 16m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Exploring expressions with two variables

In this lesson, we will explore expressions with two variables and how to interpret them. We will also look at examples involving spending money on combinations of pens and pencils.

• 2 Quizzes
• 8m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Exploring systems of equations

In this lesson, we will explore systems of equations. We will also use arithmagons to derive a system of equations that can be solved.

• 2 Quizzes
• 8m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solving simultaneous equations

In this lesson, we will solve a word simultaneous equation. We will then interpret the problem and create two equations from it and model a solution.

• 2 Quizzes
• 9m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Writing simultaneous equations algebraically

In this lesson, we will learn to write word simultaneous equations algebraically. We will then interpret worded problems and write two algebraic equations based on the information provided, then solve them.

• 2 Quizzes
• 8m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Checking the solution of simultaneous equations

In this lesson, we will learn to check the solutions to simultaneous equations by a method of substitution.

• 2 Quizzes
• 7m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solving a simultaneous equation algebraically

In this lesson, we will learn to solve simultaneous equations algebraically. We will interpret pictorial representations of equations and write them as simultaneous algebraic equations.

• 2 Quizzes
• 9m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Eliminating a variable

In this lesson, we will determine how to eliminate a variable by adding or subtracting one equation to or from the other.

• 2 Quizzes
• 6m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Manipulating systems of equations

In this lesson, we will manipulate systems of equations in order to eliminate an unknown. We will look at cases where one equation can be altered to enable elimination by addition or subtraction.

• 2 Quizzes
• 10m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solving word problems

In this lesson, we will use the techniques learned in this unit using simultaneous equations to investigate and model solutions to word problems.

• 1 Quiz
• 7m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Using substitution to solve simultaneous equations

In this lesson, we will introduce solving simultaneous equations using the method of substitution.

• 7m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Substitution or Elimination

In this lesson, we will compare the different ways to solve simultaneous equations. We will determine when and where to use different strategies, and develop a sense of the advantages and disadvantages of each method.

• 9m Video
• Presentation(PPT)
• Transcript

### Simultaneous equations by trial and error

In this lesson, we will learn how to solve simultaneous equations by a method of trial and error.

• 1 Quiz
• 16m Video
• Presentation(PPT)
• Worksheet
• Transcript