Algebra - Like Terms
Question 1
In each question are they like terms or unlike terms?
a) $2x,3x$
a
Like terms
Question ID: 2030010001
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b) $6y,18y$
a
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Question ID: 2030010020
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c) $2a,3b$
a
Unlike terms
Question ID: 2030010030
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d) $6q,-6q$
a
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Question ID: 2030010040
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e) $p,5p$
a
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f) $5y,5x$
a
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g) $2,3$
a
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Question ID: 2030010070
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h) $6,6u$
a
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i) $2u,8$
a
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Question ID: 2030010090
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j) $3a^2,2a^2$
a
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Question ID: 2030010100
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k) $b^2,b^3$
a
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Question ID: 2030010110
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l) $a^3,-a^3$
a
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m) $ab,4ab$
a
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n) $ab,ba$
a
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o) $7ab,7a$
a
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p) $xyz,xyz^2$
a
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q) $2xyz,zyx$
a
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r) $ejh,4hek$
a
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s) $3rt,8tr$
a
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t) $2a^2b,4ba^2$
a
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Question ID: 2030010200
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u) $4a^3b^2c,4c^3b^2a$
a
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v) $6x^2y^7z^3,7z^3y^7x^2$
a
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Question 2
Simplify each of the following:
a) $2m+3m$
a
$5m$
Question ID: 2030020001
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b) $4m+5m$
a
$9m$
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c) $5r+2r$
a
$7r$
Question ID: 2030020030
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d) $a+4a$
a
$5a$
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e) $t+t$
a
$2t$
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f) $2r+3s$
a
$2r+3s$
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g) $6p-4p$
a
$2p$
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h) $3d-5d$
a
$-2d$
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i) $8j+5u$
a
$8j+5u$
Question ID: 2030020090
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j) $6y-7y$
a
$-y$
Question ID: 2030020100
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k) $17i-7i$
a
$10i$
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l) $-5k-6k$
a
$-11k$
Question ID: 2030020120
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m) $a+b$
a
$a+b$
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n) $-2w+6w$
a
$4w$
Question ID: 2030020140
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Question 3
Simplify each of the following:
a) $3t+4t+5t$
a
$12t$
Question ID: 2030030001
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b) $7y+y+6y$
a
$14y$
Question ID: 2030030020
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c) $13b+9b+24b$
a
$46b$
Question ID: 2030030030
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d) $7u-2u-u$
a
$4u$
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e) $5t+8t-2t$
a
$11t$
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f) $-18p-2p-3p$
a
$-23p$
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g) $a+b+c$
a
$a+b+c$
Question ID: 2030030070
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h) $6g-5g-4g$
a
$-3g$
Question ID: 2030030080
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i) $4r+6r+r+3r$
a
$14r$
Question ID: 2030030090
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Question 4
Simplify each of the following:
a) $6ab+7ab+ab$
a
$14ab$
Question ID: 2030040001
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b) $6ab+a+7ab$
a
$13ab+a$
Question ID: 2030040020
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c) $ab+5ba+2ab$
a
$8ab$
Question ID: 2030040030
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d) $6fg-gf+2fg$
a
$7fg$
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e) $xy+2yx+3xy-yx$
a
$5xy$
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f) $mn+9nm-m$
a
$10mn-m$
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g) $st+6ts+s+2st$
a
$9st+s$
Question ID: 2030040070
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Question 5
Simplify each of the following:
a) $22b^2-4b^2-7b^2$
a
$11b^2$
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b) $a^4-b^4+a^4$
a
$2a^4-b^4$
Question ID: 2030050020
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c) $x^5+5x^5+x^5-7x^5$
a
$0$
Question ID: 2030050030
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d) $9p^2q+qp^2-8p^2q$
a
$2p^2q$
Question ID: 2030050040
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e) $ab^2+b^2a+a^2b$
a
$a^2b+2ab^2$
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f) $p^2q^3+4q^3p^2-2pq$
a
$5p^2q^3-2pq$
Question ID: 2030050060
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Question 6
Simplify each of the following:
a) $2x+4x+4y+6y$
a
$6x+10y$
Question ID: 2030060001
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b) $9a+4b+2a+3b$
a
$11a+7b$
Question ID: 2030060020
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c) $6p+q+4r+2p+3q+r$
a
$8p+4q+5r$
Question ID: 2030060030
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d) $4e+10f-2e-3f$
a
$2e+7f$
Question ID: 2030060040
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e) $11v-u+2v-5u$
a
$13v-6u$
Question ID: 2030060050
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f) $20g+5h-11g+g-2h$
a
$10g+3h$
Question ID: 2030060060
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g) $x^2+y^2+2x^2+5y^2$
a
$3x^2+6y^2$
Question ID: 2030060070
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Question ID: 2030060070
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h) $2rs+5qr-rs+11qr$
a
$rs+16qr$
Question ID: 2030060080
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i) $rs+t+st+3rs+ts$
a
$4sr+2st+t$
Question ID: 2030060090
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j) $5x^2+7y^2-5x+10y^2-x^2$
a
$4x^2-5x+17y^2$
Question ID: 2030060100
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k) $22r^3+7s^2+5r-5r^3-6s^2-s-s^2$
a
$17r^3+5r-s$
Question ID: 2030060110
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Question 1
In each question are they like terms or unlike terms?
a) $2x,3x$
b) $6y,18y$
c) $2a,3b$
d) $6q,-6q$
e) $p,5p$
f) $5y,5x$
g) $2,3$
h) $6,6u$
i) $2u,8$
j) $3a^2,2a^2$
k) $b^2,b^3$
l) $a^3,-a^3$
m) $ab,4ab$
n) $ab,ba$
o) $7ab,7a$
p) $xyz,xyz^2$
q) $2xyz,zyx$
r) $ejh,4hek$
s) $3rt,8tr$
t) $2a^2b,4ba^2$
u) $4a^3b^2c,4c^3b^2a$
v) $6x^2y^7z^3,7z^3y^7x^2$
Question 2
Simplify each of the following:
a) $2m+3m$
b) $4m+5m$
c) $5r+2r$
d) $a+4a$
e) $t+t$
f) $2r+3s$
g) $6p-4p$
h) $3d-5d$
i) $8j+5u$
j) $6y-7y$
k) $17i-7i$
l) $-5k-6k$
m) $a+b$
n) $-2w+6w$
Question 3
Simplify each of the following:
a) $3t+4t+5t$
b) $7y+y+6y$
c) $13b+9b+24b$
d) $7u-2u-u$
e) $5t+8t-2t$
f) $-18p-2p-3p$
g) $a+b+c$
h) $6g-5g-4g$
i) $4r+6r+r+3r$
Question 4
Simplify each of the following:
a) $6ab+7ab+ab$
b) $6ab+a+7ab$
c) $ab+5ba+2ab$
d) $6fg-gf+2fg$
e) $xy+2yx+3xy-yx$
f) $mn+9nm-m$
g) $st+6ts+s+2st$
Question 5
Simplify each of the following:
a) $22b^2-4b^2-7b^2$
b) $a^4-b^4+a^4$
c) $x^5+5x^5+x^5-7x^5$
d) $9p^2q+qp^2-8p^2q$
e) $ab^2+b^2a+a^2b$
f) $p^2q^3+4q^3p^2-2pq$
Question 6
Simplify each of the following:
a) $2x+4x+4y+6y$
b) $9a+4b+2a+3b$
c) $6p+q+4r+2p+3q+r$
d) $4e+10f-2e-3f$
e) $11v-u+2v-5u$
f) $20g+5h-11g+g-2h$
g) $x^2+y^2+2x^2+5y^2$
h) $2rs+5qr-rs+11qr$
i) $rs+t+st+3rs+ts$
j) $5x^2+7y^2-5x+10y^2-x^2$
k) $22r^3+7s^2+5r-5r^3-6s^2-s-s^2$
Answers
Question 1
a) Like terms
b) Like terms
c) Unlike terms
d) Like terms
e) Like terms
f) Unlike terms
g) Like terms
h) Unlike terms
i) Unlike terms
j) Like terms
k) Unlike terms
l) Like terms
m) Like terms
n) Like terms
o) Unlike terms
p) Unlike terms
q) Like terms
r) Unlike terms
s) Like terms
t) Like terms
u) Unlike terms
v) Like terms
Question 2
a) $5m$
b) $9m$
c) $7r$
d) $5a$
e) $2t$
f) $2r+3s$
g) $2p$
h) $-2d$
i) $8j+5u$
j) $-y$
k) $10i$
l) $-11k$
m) $a+b$
n) $4w$
Question 3
a) $12t$
b) $14y$
c) $46b$
d) $4u$
e) $11t$
f) $-23p$
g) $a+b+c$
h) $-3g$
i) $14r$
Question 4
a) $14ab$
b) $13ab+a$
c) $8ab$
d) $7fg$
e) $5xy$
f) $10mn-m$
g) $9st+s$
Question 5
a) $11b^2$
b) $2a^4-b^4$
c) $0$
d) $2p^2q$
e) $a^2b+2ab^2$
f) $5p^2q^3-2pq$
Question 6
a) $6x+10y$
b) $11a+7b$
c) $8p+4q+5r$
d) $2e+7f$
e) $13v-6u$
f) $10g+3h$
g) $3x^2+6y^2$
h) $rs+16qr$
i) $4sr+2st+t$
j) $4x^2-5x+17y^2$
k) $17r^3+5r-s$
Question 1
In each question are they like terms or unlike terms?
a) $2x,3x$
b) $6y,18y$
c) $2a,3b$
d) $6q,-6q$
e) $p,5p$
f) $5y,5x$
g) $2,3$
h) $6,6u$
i) $2u,8$
j) $3a^2,2a^2$
k) $b^2,b^3$
l) $a^3,-a^3$
m) $ab,4ab$
n) $ab,ba$
o) $7ab,7a$
p) $xyz,xyz^2$
q) $2xyz,zyx$
r) $ejh,4hek$
s) $3rt,8tr$
t) $2a^2b,4ba^2$
u) $4a^3b^2c,4c^3b^2a$
v) $6x^2y^7z^3,7z^3y^7x^2$
Question 2
Simplify each of the following:
a) $2m+3m$
b) $4m+5m$
c) $5r+2r$
d) $a+4a$
e) $t+t$
f) $2r+3s$
g) $6p-4p$
h) $3d-5d$
i) $8j+5u$
j) $6y-7y$
k) $17i-7i$
l) $-5k-6k$
m) $a+b$
n) $-2w+6w$
Question 3
Simplify each of the following:
a) $3t+4t+5t$
b) $7y+y+6y$
c) $13b+9b+24b$
d) $7u-2u-u$
e) $5t+8t-2t$
f) $-18p-2p-3p$
g) $a+b+c$
h) $6g-5g-4g$
i) $4r+6r+r+3r$
Question 4
Simplify each of the following:
a) $6ab+7ab+ab$
b) $6ab+a+7ab$
c) $ab+5ba+2ab$
d) $6fg-gf+2fg$
e) $xy+2yx+3xy-yx$
f) $mn+9nm-m$
g) $st+6ts+s+2st$
Question 5
Simplify each of the following:
a) $22b^2-4b^2-7b^2$
b) $a^4-b^4+a^4$
c) $x^5+5x^5+x^5-7x^5$
d) $9p^2q+qp^2-8p^2q$
e) $ab^2+b^2a+a^2b$
f) $p^2q^3+4q^3p^2-2pq$
Question 6
Simplify each of the following:
a) $2x+4x+4y+6y$
b) $9a+4b+2a+3b$
c) $6p+q+4r+2p+3q+r$
d) $4e+10f-2e-3f$
e) $11v-u+2v-5u$
f) $20g+5h-11g+g-2h$
g) $x^2+y^2+2x^2+5y^2$
h) $2rs+5qr-rs+11qr$
i) $rs+t+st+3rs+ts$
j) $5x^2+7y^2-5x+10y^2-x^2$
k) $22r^3+7s^2+5r-5r^3-6s^2-s-s^2$
Answers
Question 1
a) Like terms
b) Like terms
c) Unlike terms
d) Like terms
e) Like terms
f) Unlike terms
g) Like terms
h) Unlike terms
i) Unlike terms
j) Like terms
k) Unlike terms
l) Like terms
m) Like terms
n) Like terms
o) Unlike terms
p) Unlike terms
q) Like terms
r) Unlike terms
s) Like terms
t) Like terms
u) Unlike terms
v) Like terms
Question 2
a) $5m$
b) $9m$
c) $7r$
d) $5a$
e) $2t$
f) $2r+3s$
g) $2p$
h) $-2d$
i) $8j+5u$
j) $-y$
k) $10i$
l) $-11k$
m) $a+b$
n) $4w$
Question 3
a) $12t$
b) $14y$
c) $46b$
d) $4u$
e) $11t$
f) $-23p$
g) $a+b+c$
h) $-3g$
i) $14r$
Question 4
a) $14ab$
b) $13ab+a$
c) $8ab$
d) $7fg$
e) $5xy$
f) $10mn-m$
g) $9st+s$
Question 5
a) $11b^2$
b) $2a^4-b^4$
c) $0$
d) $2p^2q$
e) $a^2b+2ab^2$
f) $5p^2q^3-2pq$
Question 6
a) $6x+10y$
b) $11a+7b$
c) $8p+4q+5r$
d) $2e+7f$
e) $13v-6u$
f) $10g+3h$
g) $3x^2+6y^2$
h) $rs+16qr$
i) $4sr+2st+t$
j) $4x^2-5x+17y^2$
k) $17r^3+5r-s$
Solutions
Question 1
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b)
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i)
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Question 2
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Question 3
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Question 4
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Question 5
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Question 6
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