Which statement about the letter $x$ in the expression $x + 4$ is TRUE?

Class 6AlgebraAlgebra

A $x$ must be 1.
B $x$ must be a whole number bigger than 4.
C $x$ can stand for any number the problem allows.
D $x$ is a fixed number that never changes.

Step-by-Step Solution

A variable is a placeholder for a number, and its value comes from the problem being solved. It is not stuck at 1, it is not forced to be larger than the constant beside it, and it is not fixed — that is what a constant does.

Answer: C)

x

can stand for any number the problem allows.

Key idea: Why letters?

Imagine you want to describe 'a number doubled, plus three'. Without algebra you would have to make a list:

2 \times 1 + 3 = 5

;

2 \times 2 + 3 = 7

;

2 \times 5 + 3 = 13

; … forever. With a letter — say

x

for 'the number' — the whole list becomes one short expression: **

2 x + 3

**. Pick any value of

x

and you get the right answer. The letter is shorthand for 'whatever number we're talking about'.

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Which statement about the letter x in the expression x+4 is TRUE?

Step-by-Step Solution

Key idea: Why letters?

Master this chapter in 30 minutes a day.

More Class 6 Algebra practice

Which statement about the letter $x$ in the expression $x + 4$ is TRUE?