Question

combine the like terms to create an equivalent expression.

(4a - 1 + 2b + 6 =)

Explanation:

Identify the terms in the expression

We start with the algebraic expression:

$$4a - 1 + 2b + 6$$

This expression has four distinct terms:

• \(4a\) (a term with variable \(a\))
• \(-1\) (a constant term)
• \(2b\) (a term with variable \(b\))
• \(6\) (a constant term)

Group the like terms

Using the Equivalent Expressions concept, we group terms that have the same variables or are constants:

• Variable \(a\) terms: \(4a\)
• Variable \(b\) terms: \(2b\)
• Constant terms: \(-1\) and \(6\)

Grouping them together gives:

$$4a + 2b - 1 + 6$$

Combine the constant terms

Using the Simplifying Expressions concept, we combine the constant terms:

$$-1 + 6 = 5$$

Write the final simplified expression

Combining all parts, we get the simplified equivalent expression:

$$4a + 2b + 5$$

Answer:

Combine the like terms to create an equivalent expression.

\(4a - 1 + 2b + 6 =\) <blank>\(4a + 2b + 5\)</blank>