Math Problem Statement
Solution
The problem asks you to translate the sentence into an equation:
"Four times the sum of a number and 3 equals 5."
Let the unknown number be . Here's how to break down the sentence:
- "Four times the sum" means you need to multiply something by 4.
- "The sum of a number and 3" refers to adding (the unknown number) and 3.
- "Equals 5" means the result is equal to 5.
Now, putting all this together:
- First, the sum of and 3 is .
- Then, multiplying this sum by 4 gives .
- Finally, this is equal to 5, so the equation becomes:
This is the correct multi-step equation based on the problem's description.
Would you like more details or have any other questions?
Here are some related questions:
- How would you solve the equation for ?
- What happens if the number to be added was different, say instead of ?
- How would the equation change if it said "three times the sum" instead of "four times"?
- What if the sentence said "four times the product" instead of "four times the sum"?
- How can you check if your solution to is correct?
Tip: Always simplify expressions within parentheses first before multiplying or solving equations.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Translating Sentences into Equations
Formulas
Multiplication of a sum: a(b + c)
Basic equation: ax + b = c
Theorems
Equality property of equations
Suitable Grade Level
Grades 6-8
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