Solving Multi Step Equations in 7th Grade Math

In this video, the instructor teaches how to solve multi-step equations by building on previous lessons about one-step and two-step equations. The video includes two examples: a simple equation and a more complex one involving the distributive property. The instructor emphasizes the importance of combining like terms and using inverse operations to solve equations. The lesson concludes with a recap of the steps involved in solving multi-step equations.

What is the first step in solving a multi-step equation?

• Divide both sides by the coefficient of x

• Multiply both sides by the same number

• Combine all like terms

• Add a constant to both sides

In the equation 4x - x + 5 = 15, what do you get after combining like terms?

• 5x + 5 = 15

• 3x + 5 = 15

• 2x + 5 = 15

• 4x + 5 = 15

What operation should be performed after combining like terms in the equation 3x + 5 = 15?

• Multiply both sides by 3

• Subtract 5 from both sides

• Divide both sides by 3

• Add 5 to both sides

What is the value of x in the equation 3x = 10?

• x = 3

• x = 10

• x = 3/10

• x = 10/3

In the equation 2(3x + 5) - 3 = 9, what is the first step?

• Distribute the 2

• Combine like terms

• Subtract 5 from both sides

• Add 3 to both sides

After distributing in the equation 2(3x + 5) - 3 = 9, what is the resulting equation?

• 6x + 10 - 3 = 9

• 6x + 5 - 3 = 9

• 3x + 10 - 3 = 9

• 6x + 5 = 9

What is the value of x in the equation 6x = 2?

• x = 2

• x = 1/3

• x = 1/2

• x = 3

What is the final simplified form of the fraction 2/6?

• 1/6

• 2/3

• 1/3

• 1/2

Which of the following is NOT a step in solving multi-step equations?

• Always convert fractions to decimals

• Add or subtract first

• Use the distributive property

• Combine like terms

What is the correct order of operations when solving multi-step equations?

• Use the distributive property, then combine like terms

• Add or subtract first, then multiply or divide

• Combine like terms, then use inverse operations

• Multiply or divide first, then add or subtract