Algebra - Substituion
Question 1
Evaluate the following expressions when $a=2$
a) $a+1$
a
$3$
Question ID: 2020010001
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b) $a+3$
a
$5$
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c) $a+17$
a
$19$
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d) $4+a$
a
$6$
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e) $113+a$
a
$115$
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Question 2
Evaluate the following expressions when $x=10$
a) $x-2$
a
$8$
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b) $x-7$
a
$3$
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c) $15-x$
a
$5$
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d) $83-x$
a
$73$
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e) $x+12-x$
a
$12$
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Question 3
Evaluate the following expressions when $b=5$
a) $b\times2$
a
$10$
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b) $b\times5$
a
$25$
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c) $6\times b$
a
$30$
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d) $b\times8$
a
$40$
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e) $8\times b$
a
$40$
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f) $8b$
a
$40$
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g) $7\times b$
a
$35$
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h) $7b$
a
$35$
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i) $10b$
a
$50$
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j) $10b+1$
a
$51$
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k) $10b-2$
a
$48$
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l) $3+4b$
a
$23$
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m) $40-4b$
a
$20$
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n) $2b+3b$
a
$25$
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o) $6b-2-5b+4$
a
$7$
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Question 4
Evaluate the following expressions when $y=36$
a) $y\div2$
a
$18$
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b) $y\div4$
a
$9$
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c) $\frac y4$
a
$9$
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d) $y\div12$
a
$3$
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e) $\frac {y}{12}$
a
$3$
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f) $\frac {y}{12}+4$
a
$7$
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g) $\frac {y}{12}-2$
a
$1$
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h) $9+\frac {y}{12}$
a
$12$
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i) $10-\frac {y}{12}$
a
$7$
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j) $\frac {y+14}{10}$
a
$5$
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k) $\frac {y-4}{2}$
a
$16$
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l) $\frac {50-y}{7}$
a
$2$
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m) $\frac {80}{y+4}$
a
$2$
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n) $\frac {100}{y-16}$
a
$5$
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o) $\frac {y}{y-30}$
a
$6$
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p) $\frac {y+9}{y-31}$
a
$9$
Question ID: 2020040160
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q) $\frac {2y+3}{y-11}$
a
$3$
Question ID: 2020040170
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r) $\frac {y-16}{3y-8}$
a
$\frac 15$
Question ID: 2020040180
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Question 5
Evaluate the following expressions when $d=24$
a) $3(d+1)$
a
$75$
Question ID: 2020050001
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b) $4(d-4)$
a
$80$
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c) $d(2+3)$
a
$120$
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d) $2(30-d)$
a
$12$
Question ID: 2020050040
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e) $d(d-21)$
a
$72$
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f) $3(2d+2)$
a
$150$
Question ID: 2020050060
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g) $2(50-2d)$
a
$4$
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h) $\frac {3(2d-8)}{12}$
a
$10$
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Question 6
Evaluate the following expressions when $h=2$
a) $h^2$
a
$4$
Question ID: 2020060001
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b) $h^3$
a
$8$
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c) $h^5$
a
$32$
Question ID: 2020060030
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d) $3\times h^2$
a
$12$
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e) $3h^2$
a
$12$
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f) $4\times h^3$
a
$32$
Question ID: 2020060060
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g) $4h^3$
a
$32$
Question ID: 2020060070
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h) $4h^2-3$
a
$13$
Question ID: 2020060080
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i) $2+5h^3$
a
$42$
Question ID: 2020060090
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j) $\frac {h^6}{2}$
a
$32$
Question ID: 2020060100
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k) $\frac {h^6+6}{h^4-6}$
a
$10$
Question ID: 2020060110
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Question 7
Evaluate the following expressions when $x=3$, $y=4$ and $z=5$
a) $x+y$
a
$7$
Question ID: 2020070001
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b) $x+y+z$
a
$12$
Question ID: 2020070020
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c) $x+y-z$
a
$2$
Question ID: 2020070030
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d) $2x+z$
a
$11$
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e) $6y-x$
a
$21$
Question ID: 2020070050
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f) $x\times y$
a
$12$
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g) $xy$
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$12$
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h) $xz$
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$15$
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i) $xyz$
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$60$
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j) $\frac {10xy}{z}$
a
$22$
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k) $x(y+7)$
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$33$
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l) $x(y+z)$
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$27$
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m) $x^2-z$
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$4$
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n) $z^x$
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$125$
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o) $\frac {x^y}{16z+1}$
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$1$
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Question 8
Evaluate the following expressions when $f=6$, $g=10$ and $h=13$
a) $\frac fg$
a
$\frac 35$
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b) $\frac {f}{gh}$
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$\frac {3}{65}$
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c) $f^3-h$
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$203$
Question ID: 2020080030
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d) $\sqrt{fg+4}$
a
$8$
Question ID: 2020080040
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e) $\frac {z^2+1}{g-f}$
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$\frac {85}{2}$
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f) $gh-\frac {3+fg}{f+1}$
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$121$
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Question 1
Evaluate the following expressions when $a=2$
a) $a+1$
b) $a+3$
c) $a+17$
d) $4+a$
e) $113+a$
Question 2
Evaluate the following expressions when $x=10$
a) $x-2$
b) $x-7$
c) $15-x$
d) $83-x$
e) $x+12-x$
Question 3
Evaluate the following expressions when $b=5$
a) $b\times2$
b) $b\times5$
c) $6\times b$
d) $b\times8$
e) $8\times b$
f) $8b$
g) $7\times b$
h) $7b$
i) $10b$
j) $10b+1$
k) $10b-2$
l) $3+4b$
m) $40-4b$
n) $2b+3b$
o) $6b-2-5b+4$
Question 4
Evaluate the following expressions when $y=36$
a) $y\div2$
b) $y\div4$
c) $\frac y4$
d) $y\div12$
e) $\frac {y}{12}$
f) $\frac {y}{12}+4$
g) $\frac {y}{12}-2$
h) $9+\frac {y}{12}$
i) $10-\frac {y}{12}$
j) $\frac {y+14}{10}$
k) $\frac {y-4}{2}$
l) $\frac {50-y}{7}$
m) $\frac {80}{y+4}$
n) $\frac {100}{y-16}$
o) $\frac {y}{y-30}$
p) $\frac {y+9}{y-31}$
q) $\frac {2y+3}{y-11}$
r) $\frac {y-16}{3y-8}$
Question 5
Evaluate the following expressions when $d=24$
a) $3(d+1)$
b) $4(d-4)$
c) $d(2+3)$
d) $2(30-d)$
e) $d(d-21)$
f) $3(2d+2)$
g) $2(50-2d)$
h) $\frac {3(2d-8)}{12}$
Question 6
Evaluate the following expressions when $h=2$
a) $h^2$
b) $h^3$
c) $h^5$
d) $3\times h^2$
e) $3h^2$
f) $4\times h^3$
g) $4h^3$
h) $4h^2-3$
i) $2+5h^3$
j) $\frac {h^6}{2}$
k) $\frac {h^6+6}{h^4-6}$
Question 7
Evaluate the following expressions when $x=3$, $y=4$ and $z=5$
a) $x+y$
b) $x+y+z$
c) $x+y-z$
d) $2x+z$
e) $6y-x$
f) $x\times y$
g) $xy$
h) $xz$
i) $xyz$
j) $\frac {10xy}{z}$
k) $x(y+7)$
l) $x(y+z)$
m) $x^2-z$
n) $z^x$
o) $\frac {x^y}{16z+1}$
Question 8
Evaluate the following expressions when $f=6$, $g=10$ and $h=13$
a) $\frac fg$
b) $\frac {f}{gh}$
c) $f^3-h$
d) $\sqrt{fg+4}$
e) $\frac {z^2+1}{g-f}$
f) $gh-\frac {3+fg}{f+1}$
Answers
Question 1
a) $3$
b) $5$
c) $19$
d) $6$
e) $115$
Question 2
a) $8$
b) $3$
c) $5$
d) $73$
e) $12$
Question 3
a) $10$
b) $25$
c) $30$
d) $40$
e) $40$
f) $40$
g) $35$
h) $35$
i) $50$
j) $51$
k) $48$
l) $23$
m) $20$
n) $25$
o) $7$
Question 4
a) $18$
b) $9$
c) $9$
d) $3$
e) $3$
f) $7$
g) $1$
h) $12$
i) $7$
j) $5$
k) $16$
l) $2$
m) $2$
n) $5$
o) $6$
p) $9$
q) $3$
r) $\frac 15$
Question 5
a) $75$
b) $80$
c) $120$
d) $12$
e) $72$
f) $150$
g) $4$
h) $10$
Question 6
a) $4$
b) $8$
c) $32$
d) $12$
e) $12$
f) $32$
g) $32$
h) $13$
i) $42$
j) $32$
k) $10$
Question 7
a) $7$
b) $12$
c) $2$
d) $11$
e) $21$
f) $12$
g) $12$
h) $15$
i) $60$
j) $22$
k) $33$
l) $27$
m) $4$
n) $125$
o) $1$
Question 8
a) $\frac 35$
b) $\frac {3}{65}$
c) $203$
d) $8$
e) $\frac {85}{2}$
f) $121$
Question 1
Evaluate the following expressions when $a=2$
a) $a+1$
b) $a+3$
c) $a+17$
d) $4+a$
e) $113+a$
Question 2
Evaluate the following expressions when $x=10$
a) $x-2$
b) $x-7$
c) $15-x$
d) $83-x$
e) $x+12-x$
Question 3
Evaluate the following expressions when $b=5$
a) $b\times2$
b) $b\times5$
c) $6\times b$
d) $b\times8$
e) $8\times b$
f) $8b$
g) $7\times b$
h) $7b$
i) $10b$
j) $10b+1$
k) $10b-2$
l) $3+4b$
m) $40-4b$
n) $2b+3b$
o) $6b-2-5b+4$
Question 4
Evaluate the following expressions when $y=36$
a) $y\div2$
b) $y\div4$
c) $\frac y4$
d) $y\div12$
e) $\frac {y}{12}$
f) $\frac {y}{12}+4$
g) $\frac {y}{12}-2$
h) $9+\frac {y}{12}$
i) $10-\frac {y}{12}$
j) $\frac {y+14}{10}$
k) $\frac {y-4}{2}$
l) $\frac {50-y}{7}$
m) $\frac {80}{y+4}$
n) $\frac {100}{y-16}$
o) $\frac {y}{y-30}$
p) $\frac {y+9}{y-31}$
q) $\frac {2y+3}{y-11}$
r) $\frac {y-16}{3y-8}$
Question 5
Evaluate the following expressions when $d=24$
a) $3(d+1)$
b) $4(d-4)$
c) $d(2+3)$
d) $2(30-d)$
e) $d(d-21)$
f) $3(2d+2)$
g) $2(50-2d)$
h) $\frac {3(2d-8)}{12}$
Question 6
Evaluate the following expressions when $h=2$
a) $h^2$
b) $h^3$
c) $h^5$
d) $3\times h^2$
e) $3h^2$
f) $4\times h^3$
g) $4h^3$
h) $4h^2-3$
i) $2+5h^3$
j) $\frac {h^6}{2}$
k) $\frac {h^6+6}{h^4-6}$
Question 7
Evaluate the following expressions when $x=3$, $y=4$ and $z=5$
a) $x+y$
b) $x+y+z$
c) $x+y-z$
d) $2x+z$
e) $6y-x$
f) $x\times y$
g) $xy$
h) $xz$
i) $xyz$
j) $\frac {10xy}{z}$
k) $x(y+7)$
l) $x(y+z)$
m) $x^2-z$
n) $z^x$
o) $\frac {x^y}{16z+1}$
Question 8
Evaluate the following expressions when $f=6$, $g=10$ and $h=13$
a) $\frac fg$
b) $\frac {f}{gh}$
c) $f^3-h$
d) $\sqrt{fg+4}$
e) $\frac {z^2+1}{g-f}$
f) $gh-\frac {3+fg}{f+1}$
Answers
Question 1
a) $3$
b) $5$
c) $19$
d) $6$
e) $115$
Question 2
a) $8$
b) $3$
c) $5$
d) $73$
e) $12$
Question 3
a) $10$
b) $25$
c) $30$
d) $40$
e) $40$
f) $40$
g) $35$
h) $35$
i) $50$
j) $51$
k) $48$
l) $23$
m) $20$
n) $25$
o) $7$
Question 4
a) $18$
b) $9$
c) $9$
d) $3$
e) $3$
f) $7$
g) $1$
h) $12$
i) $7$
j) $5$
k) $16$
l) $2$
m) $2$
n) $5$
o) $6$
p) $9$
q) $3$
r) $\frac 15$
Question 5
a) $75$
b) $80$
c) $120$
d) $12$
e) $72$
f) $150$
g) $4$
h) $10$
Question 6
a) $4$
b) $8$
c) $32$
d) $12$
e) $12$
f) $32$
g) $32$
h) $13$
i) $42$
j) $32$
k) $10$
Question 7
a) $7$
b) $12$
c) $2$
d) $11$
e) $21$
f) $12$
g) $12$
h) $15$
i) $60$
j) $22$
k) $33$
l) $27$
m) $4$
n) $125$
o) $1$
Question 8
a) $\frac 35$
b) $\frac {3}{65}$
c) $203$
d) $8$
e) $\frac {85}{2}$
f) $121$
Solutions
Question 1
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e)
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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Question 7
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Question 8
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