Complete the entries in the third column of the table.

S. No.

Equation

Value of variable

Equation satisfied Yes/No

(a)

10y = 80

y = 10

-

(b)

10y = 80

y = 8

-

(c)

10y = 80

y = 5

-

(d)

4l = 20

l = 20

-

(e)

4l = 20

l = 80

-

(f)

4l = 20

l = 5

-

(g)

b + 5 = 9

b =5

-

(h)

b + 5 = 9

b = 9

-

(i)

b + 5 = 9

b = 4

-

(j)

h − 8 = 5

h = 13

-

(k)

h − 8 = 5

h = 8

-

(l)

h − 8 = 5

h = 0

-

(m)

p + 3 = 1

p = 3

-

(n)

p + 3 = 1

p = 1

-

(o)

p + 3 = 1

p = 0

-

(p)

p + 3 = 1

P = − 1

-

(q)

p + 3 = 1

P = − 2

-

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Solution

(a) 10y = 80

y = 10 is not a solution to the given equation because for y = 10,

10y = 10 × 10 = 100, and not 80

(b) 10y = 80

y = 8 is a solution to the given equation because for y = 8,

10y = 10 × 8 = 80 and hence, the equation is satisfied.

(c) 10y = 80

y = 5 is not a solution to the given equation because for y = 5,

10y = 10 × 5 = 50, and not 80

(d) 4l = 20

l = 20 is not a solution to the given equation because for l = 20,

4l = 4 × 20 = 80, and not 20

(e) 4l = 20

l = 80 is not a solution to the given equation because for l = 80,

4l = 4 × 80 = 320, and not 20

(f) 4l = 20

l = 5 is a solution to the given equation because for l = 5,

4l = 4 × 5 = 20 and hence, the equation is satisfied.

(g) b + 5 = 9

b = 5 is not a solution to the given equation because for b = 5,

b + 5= 5 + 5 = 10, and not 9

(h) b + 5 = 9

b = 9 is not a solution to the given equation because for b = 9,

b + 5= 9 + 5 = 14, and not 9

(i) b + 5 = 9

b = 4 is a solution to the given equation because for b = 4,

b + 5= 4 + 5 = 9 and hence, the equation is satisfied.

(j) h − 8 = 5

h = 13 is a solution to the given equation because for h = 13,

h − 8= 13 − 8 = 5 and hence, the equation is satisfied.

(k) h − 8 = 5

h = 8 is not a solution to the given equation because for h = 8,

h − 8= 8 − 8 = 0, and not 5

(l) h − 8 = 5

h = 0 is not a solution to the given equation because for h = 0,

h − 8= 0 − 8 = −8, and not 5

(m) p + 3 = 1

p = 3 is not a solution to the given equation because for p = 3,

p + 3= 3 + 3 = 6, and not 1

(n) p + 3 = 1

p = 1 is not a solution to the given equation because for p = 1,

p + 3= 1 + 3 = 4, and not 1

(o) p + 3 = 1

p = 0 is not a solution to the given equation because for p = 0,

p + 3= 0 + 3 = 3, and not 1

(p) p + 3 = 1

p = −1 is not a solution to the given equation because for p = −1,

p + 3= −1 + 3 = 2, and not 1

(q) p + 3 = 1

p = −2 is a solution to the given equation because for p = −2,

p + 3= − 2 + 3 = 1 and hence, the equation is satisfied.

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Question 2

Complete the entries of the third column of the table:

$\begin{matrix} S.No & Equation & Value of Variable & Equation satisfied Yes/No (a) & 10 y = 80 & y = 10 (b) & 10 y = 80 & y = 8 (c) & 10 y = 80 & y = 5 (d) & 4 l = 20 & l = 20 (e) & 4 l = 20 & l = 80 (f) & 4 l = 20 & l = 5 (g) & b + 5 = 9 & b = 5 (h) & b + 5 = 9 & b = 9 (i) & b + 5 = 9 & b = 4 (j) & h - 8 = 5 & h = 13 (k) & h - 8 = 5 & h = 8 (l) & h - 8 = 5 & h = 0 (m) & p + 3 = 1 & p = 3 (n) & p + 3 = 1 & p = 1 (o) & p + 3 = 1 & p = 0 (p) & p + 3 = 1 & p = - 1 (q) & p + 3 = 1 & p = - 2 \end{matrix}$

Question 2

Complete the entries of the third column of the table:

Q. How many colours can you find hidden in this maze? Write their names below.

1. ___________ 2._____________ 5.___________

3.___________ 4. ____________ 6.___________

How many of following are matched correctly

\begin{matrix} Column A & Column B 1. Sin 780^{\circ} & a. \frac{\sqrt{3}}{2} 2. tan 1485^{\circ} & b. - 1 3. Cos 1350^{\circ} & c. - 1 4. Sec (- 1920^{\circ}) & d. - 2 5. tan 2340^{\circ} & e. 0 6. cosec (- 765^{\circ}) & f. - 2 7. Cot 600^{\circ} & g. \sqrt{3} 8. Sin 3105^{\circ} & h. - \frac{1}{\sqrt{2}} 9. Sin (- 3105^{\circ}) & i. \frac{1}{\sqrt{2}} 10. Cos 480^{\circ} & j. \frac{- 1}{\sqrt{2}} \end{matrix}

___

Complete the table
$\begin{matrix} first expression & second expression & product (i) & a & b + c + d & - - - (i i) & x + y - 5 & 5 x y & - - - (i i i) & p & 6 p^{2} - 7 p + 5 & - - - (i v) & 4 p^{2} q^{2} & p^{2} - q^{2} & - - - (v) & a + b + c & a b c & - - - - \end{matrix}$

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S. No.	Equation	Value of variable	Equation satisfied Yes/No
(a)	10y = 80	y = 10	-
(b)	10y = 80	y = 8	-
(c)	10y = 80	y = 5	-
(d)	4l = 20	l = 20	-
(e)	4l = 20	l = 80	-
(f)	4l = 20	l = 5	-
(g)	b + 5 = 9	b =5	-
(h)	b + 5 = 9	b = 9	-
(i)	b + 5 = 9	b = 4	-
(j)	h − 8 = 5	h = 13	-
(k)	h − 8 = 5	h = 8	-
(l)	h − 8 = 5	h = 0	-
(m)	p + 3 = 1	p = 3	-
(n)	p + 3 = 1	p = 1	-
(o)	p + 3 = 1	p = 0	-
(p)	p + 3 = 1	P = − 1	-
(q)	p + 3 = 1	P = − 2	-