NZ Level 6 (NZC) Level 1 (NCEA) Grouping in pairs

## Interactive practice questions

Determine which of the following expressions are in factorised form. Select all the correct options.

$-5\left(2y+z\right)-b\left(2y+z\right)$5(2y+z)b(2y+z)

A

$\left(a+7\right)\left(a+2\right)$(a+7)(a+2)

B

$\left(x-5\right)\left(x+y\right)$(x5)(x+y)

C

$3x\left(a+2b\right)+2\left(a+2b\right)$3x(a+2b)+2(a+2b)

D

$-5\left(2y+z\right)-b\left(2y+z\right)$5(2y+z)b(2y+z)

A

$\left(a+7\right)\left(a+2\right)$(a+7)(a+2)

B

$\left(x-5\right)\left(x+y\right)$(x5)(x+y)

C

$3x\left(a+2b\right)+2\left(a+2b\right)$3x(a+2b)+2(a+2b)

D
Easy
Less than a minute

Consider $\left(a+b\right)\left(c+d\right)$(a+b)(c+d) and $ac+ad+bc+bd$ac+ad+bc+bd.

Consider $\left(x+2\right)\left(y-9\right)$(x+2)(y9) and $xy-9x+2y-18$xy9x+2y18.

Consider $\left(8-x\right)\left(7-y\right)$(8x)(7y) and $56-8y-7x+xy$568y7x+xy.

### 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