Walking Backwards...
- Addition
- Subtract
- Multiplication
- Division
Forward
- Subtraction
- Addition
- Division
- Multiplication
Backwards
Addition \(\leftrightarrow\) Subtraction
Multiplication \(\leftrightarrow\) Division
1. Solve \(x+1=4\) for \(x\).
a. What is the operation between \(x\) and 1?
b. What would undo that operation?
\(x+1=4\)
Addition!
Subtraction :)
\(x=4-1\)
\(x=3\)
2. Solve \(x-3=9\) for \(x\).
a. What is the operation between \(x\) and 3?
b. What would undo that operation?
\(x-3=9\)
Subtraction!
Addition :)
\(x=9+3\)
\(x=12\)
3. Solve \(3x=9\) for \(x\).
a. What is the operation between \(x\) and 3?
b. What would undo that operation?
\(3x=9\)
Multiplication!
Division :)
\(x=\frac{9}{3}\)
\(x=3\)
4. Solve \(\frac{x}{4}=2\) for \(x\).
a. What is the operation between \(x\) and 4?
b. What would undo that operation?
\(\frac{x}{4}=2\)
Division!
Multiplication :)
\(x=2 \cdot 4\)
\(x=8\)
Someone should have a question right about now...
- Come up with 1 equation for each operation.
- The solution to all equations must be 5.
- None of the numbers or constants in the equations should be repeated.
- Write a full sentence justifying your answer.