# 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
$10$

Question ID: 2020030001

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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
$50$

Question ID: 2020030090

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j) $10b+1$

a
$51$

Question ID: 2020030100

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k) $10b-2$

a
$48$

Question ID: 2020030110

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l) $3+4b$

a
$23$

Question ID: 2020030120

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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
$18$

Question ID: 2020040001

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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
$7$

Question ID: 2020040060

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g) $\frac {y}{12}-2$

a
$1$

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h) $9+\frac {y}{12}$

a
$12$

Question ID: 2020040080

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i) $10-\frac {y}{12}$

a
$7$

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j) $\frac {y+14}{10}$

a
$5$

Question ID: 2020040100

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k) $\frac {y-4}{2}$

a
$16$

Question ID: 2020040110

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l) $\frac {50-y}{7}$

a
$2$

Question ID: 2020040120

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m) $\frac {80}{y+4}$

a
$2$

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n) $\frac {100}{y-16}$

a
$5$

Question ID: 2020040140

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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
$80$

Question ID: 2020050020

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c) $d(2+3)$

a
$120$

Question ID: 2020050030

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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
$4$

Question ID: 2020050070

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h) $\frac {3(2d-8)}{12}$

a
$10$

Question ID: 2020050080

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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
$8$

Question ID: 2020060020

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c) $h^5$

a
$32$

Question ID: 2020060030

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d) $3\times h^2$

a
$12$

Question ID: 2020060040

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e) $3h^2$

a
$12$

Question ID: 2020060050

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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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Question ID: 2020060080

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i) $2+5h^3$

a
$42$

Question ID: 2020060090

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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
$11$

Question ID: 2020070040

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e) $6y-x$

a
$21$

Question ID: 2020070050

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f) $x\times y$

a
$12$

Question ID: 2020070060

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g) $xy$

a
$12$

Question ID: 2020070070

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h) $xz$

a
$15$

Question ID: 2020070080

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Question ID: 2020070080

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i) $xyz$

a
$60$

Question ID: 2020070090

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Question ID: 2020070090

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j) $\frac {10xy}{z}$

a
$22$

Question ID: 2020070100

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k) $x(y+7)$

a
$33$

Question ID: 2020070110

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l) $x(y+z)$

a
$27$

Question ID: 2020070120

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m) $x^2-z$

a
$4$

Question ID: 2020070130

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n) $z^x$

a
$125$

Question ID: 2020070140

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o) $\frac {x^y}{16z+1}$

a
$1$

Question ID: 2020070150

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**Question 8**

Evaluate the following expressions when $f=6$, $g=10$ and $h=13$

a) $\frac fg$

a
$\frac 35$

Question ID: 2020080001

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b) $\frac {f}{gh}$

a
$\frac {3}{65}$

Question ID: 2020080020

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c) $f^3-h$

a
$203$

Question ID: 2020080030

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d) $\sqrt{fg+4}$

a
$8$

Question ID: 2020080040

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e) $\frac {z^2+1}{g-f}$

a
$\frac {85}{2}$

Question ID: 2020080050

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f) $gh-\frac {3+fg}{f+1}$

a
$121$

Question ID: 2020080060

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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**

a)

b)

c)

d)

e)

**Question 2**

a)

b)

c)

d)

e)

**Question 3**

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

l)

m)

n)

o)

**Question 4**

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

l)

m)

n)

o)

p)

q)

r)

**Question 5**

a)

b)

c)

d)

e)

f)

g)

h)

**Question 6**

a)

b)

c)

d)

e)

f)

g)

h)

i)

j)

k)

**Question 7**

a)

b)

c)

d)

e)

f)

g)

h)

i)

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n)

o)

**Question 8**

a)

b)

c)

d)

e)

f)