Class VIII

Complete the square

Lesson

Practice

Interactive practice questions

Find the missing values in this perfect square:

$x^2+4x+\editable{}=\left(x+\editable{}\right)^2$x2+4x+=(x+)2

Easy

< 1min

What term must we add to complete the square on $x^2+10x$x2+10x?

Easy

< 1min

Determine the value of $c$c, the constant that should be added to $x^2-2x$x2−2x to make it a perfect square expression.

Easy

< 1min

Complete the following so that it forms a perfect square

Easy

< 1min

Outcomes

8.A.AE.1

Multiplication and division of algebraic exp.(Coefficient should be integers)

8.A.AE.2

Some common errors (e.g. 2 + x ≠ 2x, 7x + y ≠ 7xy )

8.A.AE.3

Identities (a ± b)^2 = a^2 ± 2ab + b^2, a^2 – b^2 = (a – b) (a + b) Factorisation (simple cases only) as examples the following types a(x + y), (x ± y)^2, a^2 – b^2, (x + a).(x + b)

Complete the square

Interactive practice questions

Outcomes

8.A.AE.1

8.A.AE.2

8.A.AE.3

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