Linear Simultaneous Equations - Substitution (Edexcel A-Level Mathematics): Quizzes

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Linear Simultaneous Equations - Substitution
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12 questions from this quiz

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What does the substitution method involve?

Rearrange one equation, substitute into other

What is the first step in the substitution method?

Rearrange one equation to isolate a variable

What is (y−5)2(y-5)^2 expanded?

y2−10y+25y^2 - 10y + 25

After substituting x=y−5x=y-5 into x2+y2=9x^2+y^2=9, what simplified quadratic results?

y2−5y+8=0y^2 - 5y + 8 = 0

What are the values of yy when (y−7)(y−4)=0(y-7)(y-4)=0?

y=7y=7 or y=4y=4

If y=4y=4 and x=y−5x=y-5, what is xx?

−1-1

How many solution pairs does the system x2+y2=9x^2+y^2=9 and x=y−5x=y-5 have?

Two

What is 2(2x2−3x−5)2(2x^2-3x-5) expanded?

4x2−6x−104x^2 - 6x - 10

For y=2x2−3x−5y=2x^2-3x-5 and 10x+2y+11=010x+2y+11=0, what simplified quadratic results after substitution?

4x2+4x+1=04x^2 + 4x + 1 = 0

What is the factorised form of 4x2+4x+14x^2+4x+1?

(2x+1)2(2x+1)^2

What does one solution indicate about a line and curve?

The line is a tangent to the curve

What is a tangent to a curve?

A line that touches curve without cutting

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