Simplify each expression. 8+(a+7)

Verified step by step guidance

1. Identify the expression to simplify: \$8 + (a + 7)$.
2. Remove the parentheses by applying the distributive property. Since there is a plus sign before the parentheses, the signs inside remain the same: \$8 + a + 7$.
3. Group the like terms together. The constants are \$8\( and \)7\(, and the variable term is \)a\(: \)a + 8 + 7$.
4. Add the constants: \$8 + 7 = 15\(, so the expression becomes \)a + 15$.
5. Write the simplified expression as \(a + 15\).

Key Concepts

Simplifying Algebraic Expressions

Simplifying algebraic expressions involves combining like terms and performing arithmetic operations to rewrite the expression in a simpler form. This process makes expressions easier to understand and work with.

Like Terms

Like terms are terms that have the same variable raised to the same power. Only like terms can be combined by adding or subtracting their coefficients to simplify an expression.

Order of Operations

The order of operations is a set of rules that dictate the sequence in which operations should be performed to correctly simplify expressions. It ensures consistent and accurate results when evaluating expressions.