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Algebra - Division

  a - answer    s - solution    v - video

Question 1


Write each of these without the division sign

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


Question 2


Simplify

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


Question 3


Simplify

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


Question 4


Simplify

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


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


Question 6


Rewrite as fractions and simplify

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


Question 7


Simplify

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