1. Quadratic Equations – Mixed – Card Match
In this activity students work individually or in groups to
match questions and answers.
Instead of cutting out cards, students can letter questions and
answers that go together.

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. 𝑥2+7𝑥+1=0 𝑥2+8𝑥+4=0 𝑥2−𝑥−12=0 4𝑥2−7=0 3𝑥2+3𝑥−4=0 𝑥2+6𝑥−2=0 2𝑥2+8𝑥+6=0
Rearrange &
Quadratic Formula
𝑥 =4 or
𝑥 =−3
𝑥2+8𝑥+4=0
Completing the Square
𝑥 =0.76
𝑥 =−1.76
𝑥2−𝑥−12=0
Factorisation
𝑥 =0.32
𝑥 =−6.32
4𝑥2−7=0
𝑥 =0
𝑥 =−2
3𝑥2+3𝑥−4=0
𝑥 =−4
𝑥 =2
𝑥2+6𝑥−2=0
𝑥 =−0.15
𝑥 =−6.85
2𝑥2+8𝑥+6=0
Rearrange
𝑥 =−0.59
𝑥 =−3.41
3𝑥2+6𝑥=0
𝑥 =1.32
𝑥 =−1.32
5𝑥2−9𝑥=−3
& Factorisation
𝑥 =−1
𝑥2+4𝑥=−2
𝑥 =1.36
𝑥 =0.44
𝑥2+2𝑥=8
𝑥 =−0.54
𝑥 =−7.46

4. Solving Quadratic Equations Checklist Does it need rearranging?
𝑥2+8𝑥+4=0
2𝑥2−7=0
𝑥2−𝑥−12=0
Solving Quadratic Equations Checklist
Does it need rearranging?
Rearrange to find a, b & c
Does b = 0 ?
Rearrange
to solve
Does c = 0 ?
Factorise into a
single bracket
Can you factorise quickly?
(with or without coefficients)
Factorise into
double brackets.
Does b half?
Complete the square
Quadratic Formula
𝑥= −𝑏± 𝑏 2 −4𝑎𝑐 2𝑎

6. Half Answers 𝑥2+7𝑥+1=0 𝑥2+8𝑥+4=0 𝑥2−𝑥−12=0 4𝑥2−7=0 3𝑥2+3𝑥−4=0
Quadratic Formula
𝑥 =−0.15 or
𝑥 =−6.85
𝑥2+8𝑥+4=0
Completing the Square
𝑥 =−0.54
𝑥 =−7.46
𝑥2−𝑥−12=0
Factorisation
𝑥 =4
𝑥 =−3
4𝑥2−7=0
Rearrange
𝑥 =1.32
𝑥 =−1.32
3𝑥2+3𝑥−4=0
𝑥 =0.76
𝑥 =−1.76
𝑥2+6𝑥−2=0
2𝑥2+8𝑥+6=0
3𝑥2+6𝑥=0
5𝑥2−9𝑥=−3
𝑥2+4𝑥=−2
𝑥2+2𝑥=8
Half
Answers

7. Answers 𝑥2+7𝑥+1=0 𝑥2+8𝑥+4=0 𝑥2−𝑥−12=0 4𝑥2−7=0 3𝑥2+3𝑥−4=0 𝑥2+6𝑥−2=0
Quadratic Formula
𝑥 =−0.15 or
𝑥 =−6.85
𝑥2+8𝑥+4=0
Completing the Square
𝑥 =−0.54
𝑥 =−7.46
𝑥2−𝑥−12=0
Factorisation
𝑥 =4
𝑥 =−3
4𝑥2−7=0
Rearrange
𝑥 =1.32
𝑥 =−1.32
3𝑥2+3𝑥−4=0
𝑥 =0.76
𝑥 =−1.76
𝑥2+6𝑥−2=0
𝑥 =0.32
𝑥 =−6.32
2𝑥2+8𝑥+6=0
𝑥 =−1
3𝑥2+6𝑥=0
𝑥 =0
𝑥 =−2
5𝑥2−9𝑥=−3
Rearrange &
𝑥 =1.36
𝑥 =0.44
𝑥2+4𝑥=−2
𝑥 =−0.59
𝑥 =−3.41
𝑥2+2𝑥=8
& Factorisation
𝑥 =−4
𝑥 =2
Answers

8. 𝑥2+7𝑥+1=0 𝑥2+8𝑥+4=0 𝑥2−𝑥−12=0 4𝑥2−7=0 3𝑥2+3𝑥−4=0 𝑥2+6𝑥−2=0 2𝑥2+8𝑥+6=0
Rearrange &
Quadratic Formula
𝑥 =4 or
𝑥 =−3
𝑥2+8𝑥+4=0
Completing the Square
𝑥 =0.76
𝑥 =−1.76
𝑥2−𝑥−12=0
Factorisation
𝑥 =0.32
𝑥 =−6.32
4𝑥2−7=0
𝑥 =0
𝑥 =−2
3𝑥2+3𝑥−4=0
𝑥 =−4
𝑥 =2
𝑥2+6𝑥−2=0
𝑥 =−0.15
𝑥 =−6.85
2𝑥2+8𝑥+6=0
Rearrange
𝑥 =−0.59
𝑥 =−3.41
3𝑥2+6𝑥=0
𝑥 =1.32
𝑥 =−1.32
5𝑥2−9𝑥=−3
& Factorisation
𝑥 =−1
𝑥2+4𝑥=−2
𝑥 =1.36
𝑥 =0.44
𝑥2+2𝑥=8
𝑥 =−0.54
𝑥 =−7.46
𝑥2+7𝑥+1=0
Rearrange &
Quadratic Formula
𝑥 =4 or
𝑥 =−3
𝑥2+8𝑥+4=0
Completing the Square
𝑥 =0.76
𝑥 =−1.76
𝑥2−𝑥−12=0
Factorisation
𝑥 =0.32
𝑥 =−6.32
4𝑥2−7=0
𝑥 =0
𝑥 =−2
3𝑥2+3𝑥−4=0
𝑥 =−4
𝑥 =2
𝑥2+6𝑥−2=0
𝑥 =−0.15
𝑥 =−6.85
2𝑥2+8𝑥+6=0
Rearrange
𝑥 =−0.59
𝑥 =−3.41
3𝑥2+6𝑥=0
𝑥 =1.32
𝑥 =−1.32
5𝑥2−9𝑥=−3
& Factorisation
𝑥 =−1
𝑥2+4𝑥=−2
𝑥 =1.36
𝑥 =0.44
𝑥2+2𝑥=8
𝑥 =−0.54
𝑥 =−7.46

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