NZ Level 6 (NZC) Level 1 (NCEA)
Solving Equations through Trial and Improvement

## Interactive practice questions

Consider the equation $x^2=61$x2=61.

a

Complete the gaps to determine between which two consecutive whole numbers $\sqrt{61}$61 lies.

$\editable{}$ < $\sqrt{61}$61 < $\editable{}$.

b

Is $61$61 closer to $49$49 or $64$64?

$49$49

A

$64$64

B

$49$49

A

$64$64

B
c

Hence, determine which is the better approximation for the positive value of $x$x.

$7$7

A

$7.75$7.75

B

$7$7

A

$7.75$7.75

B
Easy
Approx 2 minutes

Consider the equation $x^3=13$x3=13.

Consider the equation $x^3-272=0$x3272=0.

### Outcomes

#### NA6-4

Find optimal solutions, using numerical approaches

#### 91028

Investigate relationships between tables, equations and graphs