State which of the following are equations (with a variable). Give reason for your answer. Identify the variable from the equations with a variable.

(a) 17 = x + 7 (b) (t − 7) > 5

(c) (d) (7 × 3) − 19 = 8

(e) 5 × 4 − 8 = 2x (f) x − 2 = 0

(g) 2m < 30 (h) 2n + 1 = 11

(i) 7 = (11 × 5) − (12 × 4) (j) 7 = (11 × 2) + p

(k) 20 = 5y (l)

(m) z + 12 > 24 (n) 20 − (10 − 5) = 3 × 5

(o) 7 − x = 5

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Solution

(a) An equation with variable x

(b) An inequality

(c) No, it is a numerical equation.

(d) No, it is a numerical equation.

(e) An equation with variable x

(f) An equation with variable x

(g) An inequality

(h) An equation with variable n

(i) No, it is a numerical equation.

(j) An equation with variable p

(k) An equation with variable y

(l) An inequality

(m) An inequality

(n) No, it is a numerical equation.

(o) An equation with variable x

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Similar questions

Q. State which of the following are equation (with a variable) given reason and tell your answer. identify the variable from the equation with a variable.

7 = (11 * 5) - (12 * 4)

State which of the following are equations (with a variable). Give reasons for your answer. Identify the variable from the equations with a variable.
$17 = x + 7$

Q. Solve the following equations.
(1) 17p − 2 = 49
(2) 2m + 7 = 9
(3) 3x + 12 = 2x − 4
(4) 5(x − 3) = 3(x + 2)

(5)

\frac{9 x}{8}

+ 1 = 10

(6)

\frac{y}{7}

\frac{y - 4}{3}

= 2

(7) 13x − 5 =

\frac{3}{2}

(8) 3(y + 8) = 10(y − 4) + 8

(9)

\frac{x - 9}{x - 5}

\frac{5}{7}

(10)

\frac{y - 4}{3}

+ 3y = 4

(11)

\frac{b + (b + 1) + (b + 2)}{4}

= 21

Q. State which of the following are equation (with a variable). Give the reason for your answer. Identify the variable from the equations with a variable

(t - 7) > 5

By equating coefficients of variables, solve the following equations.

(i) 3x

-

4 y = 7; 5x + 2y = 3

(ii) 5x + 7 y = 17 ; 3x

-

2y = 4

(iii) x

-

2y =

-

10; 3x

-

5y =

-

12

(iv) 4x + y = 34 ; x + 4y = 16

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