1. Review of Real Numbers

Simplifying Expressions

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Multiple Choice

Simplify the following by combining like terms.
$2 m + 3 n - p + 4 m - 2 n + 5 p$

$6 m + n + 4 p$

$6 m + n - 4 p$

$4 m + n + 4 p$

$4 m - n - 4 p$

Verified step by step guidance

Identify the like terms in the expression \$2m + 3n - p + 4m - 2n + 5p$. Like terms are terms that have the same variable raised to the same power.

Group the like terms together: $(2m + 4m) + (3n - 2n) + (-p + 5p)$.

Add or subtract the coefficients of the like terms: For $m$ terms, add \$2 + 4$; for $n$ terms, add $3 - 2$; for $p$ terms, add $-1 + 5$.

Rewrite the expression using the simplified coefficients: \$6m + 1n + 4p$.

Since the coefficient 1 is usually not written explicitly, express the final simplified form as \$6m + n + 4p$.

Master Like Terms with a bite sized video explanation from Patrick Ford

Simplify the following by combining like terms.2m+3n−p+4m−2n+5p2m+3n-p+4m-2n+5p