NZ Level 6 (NZC) Level 1 (NCEA)
Check Solutions to Linear Equations

## Interactive practice questions

We want to determine whether $x=-1$x=1 is a solution to the equation $\left(x-4\right)^2=25$(x4)2=25, by using substitution.

a

Substitute $x=-1$x=1 into the expression $\left(x-4\right)^2$(x4)2:

b

Is $x=-1$x=1 a solution to the equation $\left(x-4\right)^2=25$(x4)2=25?

No

A

Yes

B

No

A

Yes

B
Easy
Approx 2 minutes

Consider the equation $9\left(n+5\right)=4n+50$9(n+5)=4n+50 for $n=1$n=1.

Consider the equation $6a=3a-3$6a=3a3 for $a=-1$a=1.

We want to determine whether $x=-1$x=1 is a solution to the equation $\left(x-2\right)^2=9$(x2)2=9, by using substitution.

### Outcomes

#### NA6-5

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

#### 91027

Apply algebraic procedures in solving problems