Simple Equations

Question

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Solve the following equations:
(a) 10p = 100 (b) 10p + 10 = 100 (c) $\frac{p}{4} = 5$
(d) $\frac{- p}{3} = 5$ (e) $\frac{3 p}{4} = 6$ (f) 3s = − 9
(g) 3s + 12 = 0 (h) 3s = 0 (i) 2q = 6
(j) 2q − 6 = 0 (k) 2q + 6 = 0 (l) 2q + 6 = 12

Solution

(a) 10 p = 100

$\frac{10 p}{10} = \frac{100}{10} p = 10$

(b) 10 p + 10 = 100

10 p + 10 − 10 = 100 − 10

10 p = 90

$\frac{10 p}{10} = \frac{90}{10} p = 9$

$\frac{p \times 4}{4} = 5 \times 4 p = 20$

(d) $\frac{- p}{3} = 5$

$\frac{- p \times (- 3)}{3} = 5 \times (- 3) p = - 15$

(e)

$\frac{3 p}{4} = 6 \frac{3 p \times 4}{4} = 6 \times 4 3 p = 24 \frac{3 p}{3} = \frac{24}{3} p = 8$

(f) 3 s = −9

$\frac{3 s}{3} = \frac{- 9}{3} s = - 3$

(g) 3 s + 12 = 0

3 s + 12 − 12= 0 − 12

3 s = −12

$\frac{3 s}{3} = \frac{- 12}{3} s = - 4$

(h) 3 s = 0

$\frac{3 s}{3} = \frac{0}{3} s = 0$

(i) 2q = 6

$\frac{2 q}{2} = \frac{6}{2} q = 3$

(j) 2q − 6 = 0

2q − 6 + 6 = 0 + 6

2q = 6

$\frac{2 q}{2} = \frac{6}{2} q = 3$

(k) 2q + 6 = 0

2q + 6 − 6 = 0 − 6

2q = −6

$\frac{2 q}{2} = \frac{- 6}{2} q = - 3$

(l) 2q + 6 = 12

2q + 6 − 6 = 12 − 6

2q = 6

$\frac{2 q}{2} = \frac{6}{2} q = 3$

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Simple Equations

Solve the following equations:
(a) 10p = 100 (b) 10p + 10 = 100 (c) $\frac{p}{4} = 5$
(d) $\frac{- p}{3} = 5$ (e) $\frac{3 p}{4} = 6$ (f) 3s = − 9
(g) 3s + 12 = 0 (h) 3s = 0 (i) 2q = 6
(j) 2q − 6 = 0 (k) 2q + 6 = 0 (l) 2q + 6 = 12

Some More Questions From Simple Equations Chapter

Give first the step you will use to separate the variable and then solve the equation:
(a) x + 1 = 0 (b) x + 1 = 0 (c) x − 1 = 5
(d) x + 6 = 2 (e) y − 4 = − 7 (f) y − 4 = 4
(g) y + 4 = 4 (h) y + 4 = − 4

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For Daily Free Study Material Join wiredfaculty

Simple Equations

Solve the following equations:(a) 10p = 100 (b) 10p + 10 = 100 (c) p4=5(d) -p3=5 (e) 3p4=6 (f) 3s = − 9(g) 3s + 12 = 0 (h) 3s = 0 (i) 2q = 6(j) 2q − 6 = 0 (k) 2q + 6 = 0 (l) 2q + 6 = 12

Some More Questions From Simple Equations Chapter

Give first the step you will use to separate the variable and then solve the equation:(a) x + 1 = 0 (b) x + 1 = 0 (c) x − 1 = 5(d) x + 6 = 2 (e) y − 4 = − 7 (f) y − 4 = 4(g) y + 4 = 4 (h) y + 4 = − 4

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Solve the following equations:
(a) 10p = 100 (b) 10p + 10 = 100 (c) $\frac{p}{4} = 5$
(d) $\frac{- p}{3} = 5$ (e) $\frac{3 p}{4} = 6$ (f) 3s = − 9
(g) 3s + 12 = 0 (h) 3s = 0 (i) 2q = 6
(j) 2q − 6 = 0 (k) 2q + 6 = 0 (l) 2q + 6 = 12

Give first the step you will use to separate the variable and then solve the equation:
(a) x + 1 = 0 (b) x + 1 = 0 (c) x − 1 = 5
(d) x + 6 = 2 (e) y − 4 = − 7 (f) y − 4 = 4
(g) y + 4 = 4 (h) y + 4 = − 4