Math Problem Statement
Solution
I see you've uploaded a photo containing some algebraic expressions to simplify. Let's go through the problems and simplify them.
Simplifying Algebraic Expressions:
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Problem 16:
Combine like terms:
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Problem 17:
Simplify the constants:
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Problem 18:
Combine like terms:
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Problem 19:
Simplify the constants:
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Problem 20:
Combine like terms on the right-hand side:
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Problem 21:
To simplify, bring all terms with to one side:
Divide both sides by :
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Problem 22:
Combine like terms:
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Problem 23:
Combine constants and fractions:
Convert to a common denominator for terms:
Final expression:
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Problem 24:
Combine constants and fractions:
(approximately)
Combine terms:
Convert to a common denominator:
Final expression:
Would you like more detailed explanations on any of these steps or have any specific questions?
Here are 5 related questions for practice:
- How do you simplify an expression with multiple variables?
- What are the steps to solve an equation with fractions like in problem 23?
- How can you combine terms that have different coefficients?
- What is the process of converting fractions to a common denominator?
- How would you handle an equation where all terms are on one side of the equal sign?
Tip: When simplifying expressions, always combine like terms first, which means grouping together the terms that have the same variable raised to the same power.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplifying Expressions
Formulas
Combining like terms (e.g., a + a = 2a)
Simplifying constants (e.g., 5 - 3 = 2)
Theorems
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Suitable Grade Level
Grades 6-8
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