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 nn as the unknown number:

i. A certain number is multiplied by 8, then 11 is added, and the result is 39: 8n+11=398n + 11 = 39

ii. I think of a number, double it, add 7, and the result is 5: 2n+7=52n + 7 = 5

iii. I think of a number, add 4, and then divide the result by 10. The answer is 7: n+410=7\frac{n + 4}{10} = 7

Would you like me to solve these equations or provide more details?

Here are some related questions for further practice:

  1. How do you solve the equation 8n+11=398n + 11 = 39?
  2. What steps are needed to isolate nn in 2n+7=52n + 7 = 5?
  3. How do you handle fractions in an equation like n+410=7\frac{n + 4}{10} = 7?
  4. What happens if the number in equation (ii) is tripled instead of doubled?
  5. 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