Math Problem Statement
Solution
Let's break down the questions on the image:
Question 3:
You are asked to evaluate the expression below when , , and .
Expression:
To solve this:
- Substitute the values of , , and into the expression.
Now calculate:
So, the value of the expression is 20.
Question 4:
You are asked to find the value of when .
This simplifies to:
So, the value is 20.
Question 5:
The expression you need to simplify is:
Distribute the -4:
Now, combine like terms:
So, the simplified expression is .
Would you like to explore any of these problems further or have any questions?
Related Questions:
- What happens if and in the first expression?
- How does the result change if in the second problem?
- What other methods can be used to simplify expressions like the one in question 5?
- How do we solve for a variable if we are given a value for the expression instead of the variable itself?
- What is the importance of distributing terms in algebraic expressions?
Tip: Always check if you can combine like terms before simplifying, as this reduces the complexity of the expression.
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Math Problem Analysis
Mathematical Concepts
Algebra
Expression Evaluation
Simplification of Algebraic Expressions
Formulas
c + 4b + a
3x - (-2)
-4(2x + 2) - 9x
Theorems
Distributive Property
Suitable Grade Level
Grades 6-8