Math Problem Statement
Which expression is equivalent to 2x + 3x + 6 − 122x + 3x + 6 − 12?
Select TWO correct answers.
A.5x − 65x − 6
B.5x + 6 − 125x + 6 − 12
C.5x + 65x + 6
D.5x − 125x − 12
E.x − 6x − 6
Solution
Let's simplify the given expression step-by-step:
The original expression is:
Step 1: Combine like terms
Thus, the simplified form is:
Now let's compare with the given answer choices.
- A. : This is correct!
- B. : This simplifies to , so this is also correct!
- C. : This is incorrect.
- D. : This is incorrect.
- E. : This is incorrect.
Correct Answers:
- A.
- B.
Would you like any further clarifications?
Here are five follow-up questions:
- What are like terms, and how do you combine them?
- Can you explain the difference between positive and negative constants in simplification?
- How do parentheses change the way terms are combined?
- How can this knowledge help solve algebraic equations?
- How would the process change if variables had exponents?
Tip: Always double-check for arithmetic or sign errors when simplifying expressions.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplification of Expressions
Combining Like Terms
Formulas
2x + 3x = 5x
6 - 12 = -6
Theorems
Properties of Addition and Subtraction
Distributive Property (implicitly used in combining constants)
Suitable Grade Level
Grades 6-8