Sure! One-step algebraic equations are a great way for children to practice solving for unknowns using basic operations. Here are some simple examples, along with explanations and solutions, to help children understand how to solve them.
1. Solving for Addition
Equation: x + 5 = 12
Steps to Solve:
- Understand: You need to find out what number xx is when added to 5 gives 12.
- Isolate the Variable: Subtract 5 from both sides of the equation to get x alone. X + 5 – 5 = 12 – 5 = 7. X = 7
- Check: Substitute 7 back into the original equation to make sure it works. 7 + 5 = 12
This is correct!
Solution: x=7
2. Solving for Subtraction
Equation: y – 3 = 8
Steps to Solve:
- Understand: You need to find out what number y is when 3 is subtracted from it to get 8.
- Isolate the Variable: Add 3 to both sides of the equation. Y – 3 + 3 = 8 + 3 = 11 y=11
- Check: Substitute 11 back into the original equation to verify.11 – 3 = 8
This is correct!
Solution: y = 11
3. Solving for Multiplication
Equation: 4x = 20
Steps to Solve:
- Understand: You need to find out what number x is when multiplied by 4 gives 20.
- Isolate the Variable: Divide both sides by 4.
= 
x = 5 - Check: Substitute 5 back into the original equation to ensure it's correct. 4 × 5 = 20
This is correct!
Solution: x = 5
4. Solving for Division
Equation: 
= 3
Steps to Solve:
- Understand: You need to find out what number y is when divided by 6 gives 3.
- Isolate the Variable: Multiply both sides by 6. x 6 = 3 x 6. Y = 18
- Check: Substitute 18 back into the original equation to verify.
= 3
This is correct!
Solution: y = 18
5. Solving for Fractions
Equation: ½x = 4
Steps to Solve:
- Understand: You need to find out what number x is when half of it is 4.
- Isolate the Variable: Multiply both sides by 2. ½x x 2 = 4 x 2. X = 8
- Check: Substitute 8 back into the original equation to check. ½ × 8 =4
This is correct!
Solution: x=8
Summary
One-step algebraic equations are simple but powerful tools for solving problems. By isolating the variable and performing the same operation on both sides of the equation, children can find the value of the unknown. These basic equations provide a foundation for understanding more complex algebraic concepts later on in their studies.