5.3 Solving Multistep Equations with One Variable

2. Solve for x.

3x + 5 + 2x - 4 = 31

Mathematical Equivalence

ON

3x + 5 + 2x - 4 = 31

Mathematical Equivalence

ON

What is the first step in solving a two-step equation as discussed in the video?

• Draw a border and identify variables and constants

• Isolate the variable

• Combine like terms

• Distribute numbers across terms

In the context of the video, what is the purpose of adding 13 to both sides of the equation?

• To prepare for distribution

• To eliminate the variable term

• To isolate the variable by removing the constant

• To combine like terms

When solving for 'n' in a two-step equation, what operation is performed after subtracting 2 from both sides?

• Add 7 to both sides

• Divide by 6 on both sides

• Multiply by 6 on both sides

• Subtract another 7 from both sides

What is the result of dividing -90 by -9 in the equation discussed?

• 10

• -9

• -10

• 9

What is the first step when beginning to solve multi-step equations as per the video?

• Distribute coefficients

• Subtract constants from both sides

• Draw a border and label variables and constants

• Identify and combine like terms

How do you handle terms when you have like variables on the same side in a multi-step equation?

• Divide the terms

• Combine like terms

• Subtract the variables

• Isolate each variable separately

What operation is performed to isolate the variable 'n' after combining like terms?

• Addition

• Subtraction

• Multiplication

• Division

In the distribution step, what do you do with the number in front of the parentheses?

• Divide the terms inside by this number

• Multiply it with the terms inside

• Subtract it from the terms inside

• Add it to the terms inside