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# Unit Overview: One linear and one quadratic simultaneous equations

## Lessons:

4 lessons

### Solve where y = and y = (setting the equations equal to one another)

In this lesson, we will solve simultaneous equations by equating the two equations, then solve them by factorising, rearranging or the quadratic formula.

• 1 Quiz
• 12m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Solve where x² + y² = r and x + y = 3 (substituting)

In this lesson, we will solve simultaneous equations by substituting a linear equation into a quadratic equation. Examples include quadratics of the form x² + y² = r and x + y = 3, where r can be a square number.

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

### Solve where xy = a and y = 2x + 1 (substituting)

In this lesson, we will solve simultaneous equations using substitution. You need to be confident in solving quadratics by factorisation and by the quadratic formula before starting this lesson.

• 2 Quizzes
• 5m Video
• Presentation(PPT)
• Worksheet
• Transcript

### Understanding solutions to equations with respect to their graphs

In this lesson, we will investigate solutions to simultaneous equations by reading the coordinates of points of intersection in examples including linear, quadratic and circle graphs

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