Equations

NZ Level 6 (NZC) Level 1 (NCEA)

Check Solutions to Linear Equations

We want to determine whether $x=-1$`x`=−1 is a solution to the equation $\left(x-4\right)^2=25$(`x`−4)2=25, by using substitution.

a

Substitute $x=-1$`x`=−1 into the expression $\left(x-4\right)^2$(`x`−4)2:

b

Is $x=-1$`x`=−1 a solution to the equation $\left(x-4\right)^2=25$(`x`−4)2=25?

No

A

Yes

B

No

A

Yes

B

Easy

Approx 2 minutes

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Form and solve linear equations and inequations, quadratic and simple exponential equations, and simultaneous equations with two unknowns

Apply algebraic procedures in solving problems