Math Problem Statement
Solution
Let's go ahead and solve the equations one by one from the image you uploaded.
1.
Subtract 4 from both sides: Now, divide by 3:
2.
Subtract 1 from both sides: Now, divide by 2:
3.
Add 6 to both sides: Now, divide by 4:
4.
Add 2 to both sides: Now, divide by 2:
5.
Add 12 to both sides: Now, divide by 3:
6.
Subtract 12 from both sides: Now, divide by 4:
7.
Add 6 to both sides: Now, divide by 5:
8.
Subtract 12 from both sides: Now, divide by 2:
9.
Add 14 to both sides: Now, divide by 3:
10.
Subtract 8 from both sides: Now, divide by 8:
Let me know if you'd like solutions for the rest of the equations, any clarifications, or further explanations.
Here are 5 related questions to challenge your understanding:
- How would the approach differ if a quadratic equation was present?
- How would you solve ?
- How can systems of equations be solved with substitution or elimination?
- What method would you use to solve an equation involving fractions?
- How would you apply the distributive property to simplify and solve equations?
Tip: Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Basic linear equation solving: ax + b = c
Theorems
Addition property of equality
Multiplication property of equality
Suitable Grade Level
Grades 6-8