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Lesson details

Key learning points

  1. In this lesson, we will solve pure quadratic equations in the form ax² + c. We will investigate patterns of behaviour with these specific cases.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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7 Questions

Q1.
Is 'A' a quadratic equation?
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No, the highest power is not two
No, there is no equals sign
Correct answer: Yes
Q2.
Is 'B' a quadratic equation?
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No, the highest power is not two
No, there is no equals sign
Correct answer: Yes
Q3.
Is 'C' a quadratic equation?
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No, the highest power is not two
No, there is more than one variable
No, there is no equals sign
Correct answer: Yes
Q4.
Is 'C' a quadratic equation?
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No, the highest power is not two
No, there is no equals sign
Correct answer: Yes
Q5.
Is 'D' a quadratic equation?
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Correct answer: No, the highest power is not two
No, there is no equals sign
Yes
Q6.
Which equation is correct for the area?
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A
B
Correct answer: C
Q7.
Which could you form a quadratic equation for the volume of this shape from?
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A
Correct answer: B
C

5 Questions

Q1.
Which is of the following is true about quadratic equations:
It has one solution
It has two solutions
Correct answer: It has up to two solutions
Q2.
Choose the most appropriate pair of solutions for A
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18
40.5
9
Correct answer: 9 and - 9
Q3.
Choose the most appropriate pair of solutions for B
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24.5 and -24.5
Correct answer: 7 and -7
sqrt(51) and - sqrt(51)
sqrt(53) and - sqrt(53)
Q4.
Choose the most appropriate pair of solutions for C
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3 and -3
Correct answer: 3 and -7
3 and 7
sqrt(23) and - sqrt(23)
sqrt(27) and - sqrt(27)
Q5.
Choose the most appropriate pair of solutions for D
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Correct answer: 1 and -1
3 and -3
sqrt(39)/3 and - sqrt(39)/3

Lesson appears in

UnitMaths / Quadratic equations (9.10)