Simultaneous Equations – One Linear, One Quadratic (Leaving Cert Mathematics): Quizzes
📚Quizzes
Practise the questions
12 questions from this quiz
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Practise the questions
12 questions from this quiz
What do the solutions represent when solving one linear and one quadratic simultaneous equation?
What do the solutions represent when solving one linear and one quadratic simultaneous equation?
Intersection points of line and curve
Which method is most effective for solving one linear and one quadratic simultaneous equation?
Which method is most effective for solving one linear and one quadratic simultaneous equation?
Substitution method
What shape does a linear equation form when graphed?
What shape does a linear equation form when graphed?
A straight line
Which shapes can quadratic equations form when graphed?
Which shapes can quadratic equations form when graphed?
Circles, parabolas, or hyperbolas
What is the first step in the substitution method?
What is the first step in the substitution method?
Express one variable in terms of other
Why does substitution work well for these equations?
Why does substitution work well for these equations?
Linear equations easy to rearrange
What is the most common number of solutions when a line crosses a curve?
What is the most common number of solutions when a line crosses a curve?
Two solutions
When does a system have exactly one solution?
When does a system have exactly one solution?
Line is tangent to the curve
For and , if , what is the value of ?
For and , if , what is the value of ?
For and , when , what is ?
For and , when , what is ?
What is the general equation for a circle?
What is the general equation for a circle?
Which equation should you start with when using substitution?
Which equation should you start with when using substitution?
Always the linear equation