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Converting Algebraic Statements to Verbal Statements and Vice Versa

Taking x=4, f...

Question

Taking x = 4, find the values of the following algebraic expressions.

(1) 5 − x
(2) 3 (5 − x)
(3) (5 − x)²
(4) (x + 2)²
(5) 3(x + 2)
(6) 2 (x + 2) + 3

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Solution

(1) 5 − x
Substituting the value of x in the given expression, we get:
5 − 4 = 1

(2) 3 (5 − x)
Substituting the value of x in the given expression, we get:
3(5 − 4)
= 3 × 1
= 3

(3) (5 − x)²
Substituting the value of x in the given expression, we get:
(5 − 4)²
= (1)²
= 1

(4) (x + 2)²
Substituting the value of x in the given expression, we get:
(4 + 2)²
= (6)²
= 36

(5) 3( x + 2)
Substituting the value of x in the given expression, we get:
3(4 + 2)
= 3 (6)
= 3 × 6
= 18

(6) 2 (x + 2) + 3
Substituting the value of x in the given expression, we get:
2 (4 + 2) + 3
= 2 × 6 + 3 (Solving addition in the simple brackets first)
= 12 + 3 (Performing multiplication first)
= 15

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