# Algebra - Division

a - answer    s - solution    v - video    d - discussion

## Question 1

Write each of these without the division sign

a) $a\div b$a s v d
b) $2\div x$a s v d
c) $t\div 5$a s v d
d) $fg\div h$a s v d
e) $u\div vw$a s v d
f) $5m\div n$a s v d
g) $6\div 5k$a s v d
h) $4d\div 7e$a s v d
i) $6xy\div z^2$a s v d
j) $8+w\div x$a s v d
k) $t^2+r\div 2s$a s v d
l) $18n^2+5s\div 3r^2$a s v d
m) $\sqrt5\div 8y^2+22t$a s v d

## Question 2

Simplify

a) $\frac {5e}{5}$a s v d
b) $\frac {10t}{10}$a s v d
c) $\frac {7de}{7}$a s v d
d) $\frac {8u^2}{8}$a s v d
e) $\frac {16}{4}$a s v d
f) $\frac {16g}{4}$a s v d
g) $\frac {21k}{7}$a s v d
h) $\frac {24p^2}{3}$a s v d
i) $\frac{10\sqrt r}{5}$a s v d
j) $\frac{45y^5}{5}$a s v d

## Question 3

Simplify

a) $\frac{6y}{y}$a s v d
b) $\frac{8u}{u}$a s v d
c) $\frac{17rs}{rs}$a s v d
d) $\frac{33y^2}{y^2}$a s v d
e) $\frac{r}{r}$a s v d
f) $\frac{15\sqrt t}{\sqrt t}$a s v d
g) $\frac{cd}{d}$a s v d
h) $\frac{efg}{g}$a s v d
i) $\frac{x^2}{x}$a s v d
j) $\frac{z^3}{z}$a s v d
k) $\frac{2x^2}{x}$a s v d
l) $\frac{5rt^2}{r}$a s v d
m) $\frac{xy^2z^3}{xyz}$a s v d

## Question 4

Simplify

a) $\frac{4x}{4x}$a s v d
b) $\frac{12xy}{12x}$a s v d
c) $\frac{16abc}{8abc}$a s v d
d) $\frac{30x^2}{5x}$a s v d
e) $\frac{24ut^2}{8u}$a s v d
f) $\frac{12u^2v^2}{3uv}$a s v d
g) $\frac{42m\sqrt n}{6m}$a s v d
h) $\frac{33ab^2\sqrt c}{11ab}$a s v d
i) $18+\frac{5\sqrt f gh^2}{5\sqrt f g}$a s v d

## Question 5

What should be the missing term in the box for the equation to be correct?

a) $\frac{7u}{\square}=7$a s v d
b) $\frac{8t}{\square}=t$a s v d
c) $\frac{\square}{g}=10$a s v d
d) $\frac{\square}{17}=x$a s v d
e) $\frac{t^2}{\square}=t$a s v d
f) $\frac{8uv}{\square}=8$a s v d
g) $\frac{\square}{y^2}=y$a s v d
h) $\frac{\square}{abc}=3d$a s v d
i) $\frac{\square}{7u^2}=1$a s v d
j) $\frac{\square}{5fg^2}=0$a s v d
k) $\frac{6yz}{\square}=2y$a s v d
l) $\frac{32a^2b^2}{\square}=8a$a s v d
m) $\frac{\square}{14m^2n}=4mn^3$a s v d

## Question 6

Rewrite as fractions and simplify

a) $18t\div9$a s v d
b) $25x^3\div5x$a s v d
c) $12r^2s^3t^4\div3rst$a s v d
d) $24x\sqrt y \div4\sqrt y$a s v d
e) $64a\sqrt b c^3\div4ac$a s v d
f) $42\sqrt f gh^2 \sqrt k \div6\sqrt f h$a s v d

## Question 7

Simplify

a) $3+\frac{4e}{e}$a s v d
b) $12-\frac{5t^2}{t^2}$a s v d
c) $\frac{94\sqrt r}{\sqrt r}+6$a s v d
d) $7+\frac{22e^2}{e^2}-\frac{14ab}{ab}$a s v d
e) $\frac{22rt}{11rt}-\frac{36\sqrt h}{18\sqrt h}$a s v d
f) $30-14n\div n-16p\div 2p$a s v d
g) $95-\frac{26y}{2y}+3de\div de$a s v d
h) $h+\frac{2h^2}{h}-4gh\div4g$a s v d
i) $\frac{7x\sqrt y}{x}-\sqrt y+3\sqrt y z^2 \div z^2$a s v d