Math Problem Statement
Translate each sentence into an equation, using n as the unknown number: i) A certain number is multiplied by 8, then 11 is added and the result is 39. ii) I think of a number, double it, add 7 and the result is 5. iii) I think of a number, add 4 and then divide the result by 10. The answer is 7.
Solution
Here are the equations based on the sentences in the image, using as the unknown number:
i. A certain number is multiplied by 8, then 11 is added, and the result is 39:
ii. I think of a number, double it, add 7, and the result is 5:
iii. I think of a number, add 4, and then divide the result by 10. The answer is 7:
Would you like me to solve these equations or provide more details?
Here are some related questions for further practice:
- How do you solve the equation ?
- What steps are needed to isolate in ?
- How do you handle fractions in an equation like ?
- What happens if the number in equation (ii) is tripled instead of doubled?
- How can you check if your solutions are correct after solving?
Tip: Always reverse the operations in the correct order when solving equations to isolate the variable.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Basic Algebra
Solving for Variables
Formulas
Linear Equation: ax + b = c
Equation with fractions: (x + b)/c = d
Theorems
Inverse Operations in Equations
Suitable Grade Level
Grades 6-8