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Algebra - Like Terms

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Question 1


In each question are they like terms or unlike terms?

a) $2x,3x$  a s v d
b) $6y,18y$  a s v d
c) $2a,3b$  a s v d
d) $6q,-6q$  a s v d
e) $p,5p$  a s v d
f) $5y,5x$  a s v d
g) $2,3$  a s v d
h) $6,6u$  a s v d
i) $2u,8$  a s v d
j) $3a^2,2a^2$  a s v d
k) $b^2,b^3$  a s v d
l) $a^3,-a^3$  a s v d
m) $ab,4ab$  a s v d
n) $ab,ba$  a s v d
o) $7ab,7a$  a s v d
p) $xyz,xyz^2$  a s v d
q) $2xyz,zyx$  a s v d
r) $ejh,4hek$  a s v d
s) $3rt,8tr$  a s v d
t) $2a^2b,4ba^2$  a s v d
u) $4a^3b^2c,4c^3b^2a$  a s v d
v) $6x^2y^7z^3,7z^3y^7x^2$  a s v d


Question 2


Simplify each of the following:

a) $2m+3m$  a s v d
b) $4m+5m$  a s v d
c) $5r+2r$  a s v d
d) $a+4a$  a s v d
e) $t+t$  a s v d
f) $2r+3s$  a s v d
g) $6p-4p$  a s v d
h) $3d-5d$  a s v d
i) $8j+5u$  a s v d
j) $6y-7y$  a s v d
k) $17i-7i$  a s v d
l) $-5k-6k$  a s v d
m) $a+b$  a s v d
n) $-2w+6w$  a s v d


Question 3


Simplify each of the following:

a) $3t+4t+5t$  a s v d
b) $7y+y+6y$  a s v d
c) $13b+9b+24b$  a s v d
d) $7u-2u-u$  a s v d
e) $5t+8t-2t$  a s v d
f) $-18p-2p-3p$  a s v d
g) $a+b+c$  a s v d
h) $6g-5g-4g$  a s v d
i) $4r+6r+r+3r$  a s v d


Question 4


Simplify each of the following:

a) $6ab+7ab+ab$  a s v d
b) $6ab+a+7ab$  a s v d
c) $ab+5ba+2ab$  a s v d
d) $6fg-gf+2fg$  a s v d
e) $xy+2yx+3xy-yx$  a s v d
f) $mn+9nm-m$  a s v d
g) $st+6ts+s+2st$  a s v d


Question 5


Simplify each of the following:

a) $22b^2-4b^2-7b^2$  a s v d
b) $a^4-b^4+a^4$  a s v d
c) $x^5+5x^5+x^5-7x^5$  a s v d
d) $9p^2q+qp^2-8p^2q$  a s v d
e) $ab^2+b^2a+a^2b$  a s v d
f) $p^2q^3+4q^3p^2-2pq$  a s v d


Question 6


Simplify each of the following:

a) $2x+4x+4y+6y$  a s v d
b) $9a+4b+2a+3b$  a s v d
c) $6p+q+4r+2p+3q+r$  a s v d
d) $4e+10f-2e-3f$  a s v d
e) $11v-u+2v-5u$  a s v d
f) $20g+5h-11g+g-2h$  a s v d
g) $x^2+y^2+2x^2+5y^2$  a s v d
h) $2rs+5qr-rs+11qr$  a s v d
i) $rs+t+st+3rs+ts$  a s v d
j) $5x^2+7y^2-5x+10y^2-x^2$  a s v d
k) $22r^3+7s^2+5r-5r^3-6s^2-s-s^2$  a s v d