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Algebra Questions and Answers

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181.

On solving expression 8c + 4d - c + 3d, answer will be

Answer: D

Collect the like terms.

\[ 8c - c = 7c \]

\[ 4d + 3d = 7d \]

\[ \therefore\ 7c + 7d \]

The \( c \) and \( d \) terms are unlike and cannot be merged into a single term such as \( 14cd \).

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182.

On simplifying the algebraic expression \( -13a \times -2 \), the answer will be

Answer: B

Multiplying two negatives gives a positive.

\[ -13a \times -2 = (13 \times 2)a = 26a \]

The variable \( a \) is carried through unchanged, so the answer keeps it - dropping it would leave the bare number 26.

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