Can you write the algebraic expressions for these?

(i) Two added to three times a number.

(ii) Three times the sum of a number and two.

(iii) One added to the square of a number.

(iv) The square of the sum of a number and one.

(v) The sum of the third and fourth powers of a number.

(vi) The sum of the fourth powers of two numbers.

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Solution

(i) Let the number be x.

Three times the number = 3x

Two added to three times the number = 3x + 2

(ii) Let the number be x.

Sum of the number and two = x + 2

Three times the sum of the number and two = 3(x + 2)

(iii) Let the number be x.

Square of the number = x²

One added to the square of the number = x²+ 1

(iv) Let the number be x.

Sum of the number and one = x + 1

Square of the sum of the number and one = (x + 1)²

(v) Let the number be x.

Third power of the number = x³

Fourth power of the number = x⁴

Sum of the third and fourth powers of the number = x³+ x⁴

(vi) Let the first number be x and the second number be y.

Fourth power of the first number = x⁴

Fourth power of the second number = y⁴

Sum of the fourth powers of the two numbers = x⁴+ y⁴

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Similar questions

Get the algebraicexpressions in the following cases using variables, constants and arithmetic operations.

(i) Subtraction of z from y.

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

(iii) The number z multiplied by itself.

(iv) One-fourth of the product of numbers p and q.

(v) Numbers x and y both squared and added.

(vi) Number 5 added to three times the product of number m and n.

(vii) Product of numbers y and z subtracted from 10.

(viii)Sum of numbers a and b subtracted from their product.

R s . 10

R s . 50

x

y

50

a

b

x

x

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