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Which pair of expressions are equal for EVERY value of $x$ ?

Class 6Rules and Formulas with VariablesAlgebra

A $3 \times (x + 2)$ and $3 x + 2$
B $x + x$ and $x \times x$
C $3 \times (x + 2)$ and $3 x + 6$
D $2 x$ and $x + 2$

Step-by-Step Solution

By the distributive rule,

3 \times (x + 2) = 3 x + 3 \times 2 = 3 x + 6

for every

x

. The other pairs only match for special values (for

x = 3, x + x = 6

but

x \times x = 9

).

Answer: C)

3 \times (x + 2)

and

3 x + 6

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