Multi step equations can be challenging for students to solve, as they require multiple steps and operations to find the correct answer. However, with practice and understanding of the rules of algebra, solving multi step equations can become much easier.
By breaking down the equation into smaller, more manageable steps, students can work through the problem methodically and arrive at the correct solution. It’s important to remember to perform the same operation on both sides of the equation to maintain equality.
Worksheet: Solving Multi Step Equations
Let’s take a look at a worksheet with several multi step equations to solve:
1. 3x + 5 = 17
2. 2(y – 4) = 10
3. 4x + 7 = 3x – 5
4. 2(2x + 3) = 16
5. 5(x + 2) – 3 = 22
Now, let’s break down each equation and solve for the variable:
1. 3x + 5 = 17
First, subtract 5 from both sides: 3x = 12
Then, divide by 3: x = 4
2. 2(y – 4) = 10
First, distribute the 2: 2y – 8 = 10
Then, add 8 to both sides: 2y = 18
Finally, divide by 2: y = 9
3. 4x + 7 = 3x – 5
First, subtract 3x from both sides: x + 7 = -5
Then, subtract 7 from both sides: x = -12
4. 2(2x + 3) = 16
First, distribute the 2: 4x + 6 = 16
Then, subtract 6 from both sides: 4x = 10
Finally, divide by 4: x = 2.5
5. 5(x + 2) – 3 = 22
First, distribute the 5: 5x + 10 – 3 = 22
Combine like terms: 5x + 7 = 22
Then, subtract 7 from both sides: 5x = 15
Finally, divide by 5: x = 3
With practice, students can become more comfortable solving multi step equations and improve their algebra skills.
By following the correct steps and maintaining balance on both sides of the equation, students can successfully solve multi step equations and feel more confident in their math abilities.