'x' as the variable and translate each of the following
(i) The sum of two consecutive numbers is 21.
(ii) Twice a number subtracted from 10 gives 2.
(iii) One-eight of a number added to 6 gives 8.

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Solution

$(i) (x + 1) + (x + 2) = 21$
$2 x + 3 = 21$
$2 x = 18$
$x = 9$

(ii)
$2 x - 10 = 2$
$x = 12 / 2$
$x = 6$

$(i i i) \frac{x}{8} + 6 = 8$
$x = 2 \times 8 = 16$

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Translate each of the following statement into an equation, using x as the variable.

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Translate each of the following statements into an equation, using x as the variable: [4 MARKS]

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Q. Write the algebraic expressions for the following statements using variables, constant and arithmetic operations:
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R s . 10

more than you.
ii) I have

R s . 50

less than you.
iii) Product of numbers

x

and

y

subtracted from

50

.
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a

and

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(ii) One-half of the sum of numbers x and y.

(iii) The number z multiplied by itself.

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'x' as the variable and translate each of the following (i) The sum of two consecutive numbers is 21.(ii) Twice a number subtracted from 10 gives 2.(iii) One-eight of a number added to 6 gives 8.

(i)(x+1)+(x+2)=21 2x+3=212x=18x=9(ii) 2x−10=2x=12/2x=6(iii)x8+6=8x=2×8=16

'x' as the variable and translate each of the following
(i) The sum of two consecutive numbers is 21.
(ii) Twice a number subtracted from 10 gives 2.
(iii) One-eight of a number added to 6 gives 8.

$(i) (x + 1) + (x + 2) = 21$
$2 x + 3 = 21$
$2 x = 18$
$x = 9$

(ii)
$2 x - 10 = 2$
$x = 12 / 2$
$x = 6$

$(i i i) \frac{x}{8} + 6 = 8$
$x = 2 \times 8 = 16$