Question

1. identify the like terms in each expression:

a. $10 + 3x + 5 - x$
b. $5c + 3d + 11c - 3$

Explanation:

Step1: Define like terms

Like terms are terms with identical variable parts (or constants, which are terms without variables).

Step2: Analyze part a

For $10 + 3x + 5 - x$:

• Constant terms: $10$ and $5$
• Terms with $x$: $3x$ and $-x$

Step3: Analyze part b

For $5c + 3d + 11c - 3$:

• Terms with $c$: $5c$ and $11c$
• Term with $d$: $3d$ (no matching like term)
• Constant term: $-3$ (no matching like term)

Answer:

a. Like terms: $10$ and $5$; $3x$ and $-x$
b. Like terms: $5c$ and $11c$