Solving Multistep Equations with Variables on Both Sides

The video tutorial covers solving multi-step equations, focusing on equations with variables on both sides. It provides a step-by-step guide on simplifying equations, using inverse operations, and checking solutions. The tutorial includes multiple example problems to illustrate the process and concludes with practice instructions.

What is the first step in solving multi-step equations?

• Check the solution

• Use inverse operations

• Combine like terms

• Simplify each equation

In the equation 8x + 17 = 2x + 35, what is the next step after simplifying both sides?

• Multiply by 2

• Divide by 2

• Subtract 2x from both sides

• Add 2x to both sides

For the equation 7k + 8 = 2k - 37, what should you do after moving 2k to the left side?

• Multiply by 5

• Divide by 5

• Subtract 8 from both sides

• Add 8 to both sides

In the equation m + 3 = 9m - 13, what is the result after moving m to the right side?

• 3 = 8m - 13

• 3 = 10m - 13

• 3 = 8m + 13

• 3 = 10m + 13

What is the value of k in the equation 6a + 40 = 2a?

• k = 5

• k = -5

• k = 10

• k = -10

In the equation 5w - 29 = 55 - 2w, what is the next step after adding 2w to both sides?

• Add 29 to both sides

• Subtract 29 from both sides

• Divide by 7

• Multiply by 7

For the equation 5p - 11 = 13p - 43, what should you do after subtracting 5p from both sides?

• Add 11 to both sides

• Subtract 11 from both sides

• Subtract 43 from both sides

• Add 43 to both sides

In the equation -5x + 16 + 3x = -23 - 9x, what is the result after combining like terms?

• -2x - 16 = -23 - 9x

• -2x + 16 = -23 + 9x

• -2x - 16 = -23 + 9x

• -2x + 16 = -23 - 9x

What is the value of n in the equation -6n - 18 = 20 - 5n?

• n = -3

• n = 3

• n = 2

• n = -2

In the equation -1/2(12v - 20) + 4 = -12 - 8b, what is the result after distributing -1/2?

• -6v - 10 + 4

• 6v - 10 + 4

• -6v + 10 + 4

• 6v + 10 + 4