Equations are mathematical statements that contain an equal sign. Two-step equations are equations that require two steps to solve for the unknown variable. These types of equations are commonly found in algebra and are essential for solving more complex problems.
Let’s practice solving two-step equations with the following worksheet:
1. Solve for x: 3x + 5 = 17
2. Solve for y: 2y – 4 = 10
3. Solve for z: 4z + 7 = -5
4. Solve for w: 5w – 3 = 22
5. Solve for t: 2t + 9 = 15
To solve these equations, we need to perform two operations in order to isolate the variable on one side of the equation. The first step is to undo addition or subtraction by performing the opposite operation. The second step is to undo multiplication or division by performing the inverse operation.
Let’s take the first equation as an example: 3x + 5 = 17. The first step is to subtract 5 from both sides to isolate the variable. This gives us 3x = 12. The second step is to divide both sides by 3 to solve for x, which gives us x = 4.
Now, let’s apply these steps to the rest of the equations in the worksheet. Remember to always perform the same operation on both sides of the equation to maintain balance.
After solving each equation, make sure to check your answer by substituting it back into the original equation. If both sides of the equation are equal, then you have successfully solved the two-step equation.
Practice makes perfect, so keep working on solving two-step equations to strengthen your algebra skills. With enough practice, you’ll be able to tackle more challenging equations and problems with confidence.
Now that you have completed the worksheet on solving two-step equations, you should have a better understanding of how to approach and solve these types of equations. Remember to always follow the steps of undoing addition or subtraction first, followed by undoing multiplication or division. Keep practicing and you’ll become a pro at solving two-step equations in no time!