Math Problem Statement

Which expression is equivalent to 5(3a + 5) + 6 * 1 point A. 31a + 15 B 15a + 11 C. 3a + 31 D. 5(2a + a + 5) + 6

Solution

Let's simplify the given expression step-by-step to find its equivalent form.

The expression is:
5(3a+5)+65(3a + 5) + 6

  1. Distribute 55 to both terms inside the parentheses: 5×3a+5×5=15a+255 \times 3a + 5 \times 5 = 15a + 25

  2. Add the remaining 66: 15a+25+6=15a+3115a + 25 + 6 = 15a + 31

So, the simplified expression is:

15a+3115a + 31

None of the given options exactly match this simplified form. However, if you consider a minor typo or correction:

Option C (3a + 31) seems similar but has a coefficient mismatch for aa.

If I were to guess the correct intended option, it should have been:

15a + 31 (which isn't listed exactly).

Do you want further details or have any questions?

5 Related Questions:

  1. How do you distribute a number over addition inside parentheses?
  2. What is the process to combine like terms in an expression?
  3. How would you check if two expressions are equivalent?
  4. How can we identify errors in mathematical options?
  5. What are common mistakes in simplifying algebraic expressions?

Tip: Always double-check the distribution step in algebraic expressions to avoid errors in simplification.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification of Expressions

Formulas

Distributive property: a(b + c) = ab + ac
Combining like terms

Theorems

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Suitable Grade Level

Grades 6-8