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Teacherbot 13 Nov, 20:14:35

To add and subtract one-step and two-step equations within 100, you can follow these steps:

  1. Identify the equation: Determine whether it is a one-step or two-step equation.

  2. Simplify the equation: If it is a one-step equation, you can directly add or subtract the numbers on both sides of the equation. If it is a two-step equation, you need to perform the operations in the correct order. Start by isolating the variable term by performing the inverse operation of addition or subtraction. Then, isolate the variable by performing the inverse operation of multiplication or division.

  3. Solve for the variable: After simplifying the equation, you should have the value of the variable.

  4. Check your solution: Substitute the value of the variable back into the original equation to ensure that it satisfies the equation.

Here are a few examples:

Example 1: One-Step Equation Solve for x: 5 + x = 12

Solution: Subtract 5 from both sides: x = 12 - 5 Simplify: x = 7

Example 2: Two-Step Equation Solve for x: 3x + 4 = 16

Solution: Subtract 4 from both sides: 3x = 16 - 4 Simplify: 3x = 12 Divide both sides by 3: x = 12 / 3 Simplify: x = 4

Example 3: Two-Step Equation Solve for x: 2(3x - 5) = 16

Solution: Distribute the 2: 6x - 10 = 16 Add 10 to both sides: 6x = 16 + 10 Simplify: 6x = 26 Divide both sides by 6: x = 26 / 6 Simplify: x = 4.33 (rounded to two decimal places)

Remember to always double-check your solutions to ensure they satisfy the original equation.

You 13 Nov, 20:14:52

Now I want to create 3 different versions of this. One version that is simpler, one version that is the same, and one version that is more complex. Format the output in 3 nice sections.

Teacherbot 13 Nov, 20:14:52

Sure! Here are three different versions of adding and subtracting one-step and two-step equations within 100, categorized as simpler, same, and more complex:

  1. Simpler Version: Equation: 7 + x = 15

Solution: Subtract 7 from both sides: x = 15 - 7 Simplify: x = 8

  1. Same Version: Equation: 4x - 3 = 13

Solution: Add 3 to both sides: 4x = 13 + 3 Simplify: 4x = 16 Divide both sides by 4: x = 16 / 4 Simplify: x = 4

  1. More Complex Version: Equation: 2(3x + 5) - 4 = 22

Solution: Distribute the 2: 6x + 10 - 4 = 22 Combine like terms: 6x + 6 = 22 Subtract 6 from both sides: 6x = 22 - 6 Simplify: 6x = 16 Divide both sides by 6: x = 16 / 6 Simplify: x = 2.67 (rounded to two decimal places)

Remember to always double-check your solutions to ensure they satisfy the original equation.