Solving Multi-Step Equations Challenge

The video tutorial covers solving multi-step equations, emphasizing the importance of combining like terms to simplify equations into two-step problems. It provides examples of solving equations with both positive and negative coefficients and introduces the distributive property. Two methods for solving equations are compared, allowing students to choose their preferred approach.

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

• Add constants

• Divide by the coefficient

• Isolate the variable

• Combine like terms

In the equation 3a + 2a + 18 = 38, what do you get after combining like terms?

• 3a + 2a = 38

• 5a + 18 = 38

• 5a = 20

• 3a + 20 = 38

After simplifying 5a + 18 = 38, what is the next step?

• Divide by 5

• Multiply by 5

• Subtract 18 from both sides

• Add 18 to both sides

What is the value of 'a' in the equation 5a = 20?

• 6

• 5

• 4

• 2

In the equation -3w + 8w - 7 = 18, what do you get after combining like terms?

• 5w - 7 = 18

• 5w = 25

• 3w - 7 = 18

• 8w - 3w = 18

What is the value of 'w' in the equation 5w = 25?

• 6

• 4

• 5

• 3

What is the distributive property?

• a(b - c) = ab - ac

• a(b + c) = a + b + c

• a + b = b + a

• a(b + c) = ab + ac

In the equation 2(3x + 4) = 20, what do you get after applying the distributive property?

• 3x + 4 = 20

• 6x + 4 = 20

• 6x + 8 = 20

• 3x + 8 = 20

What is the value of 'x' in the equation 6x = 12?

• 4

• 3

• 2

• 1

Which method involves dividing both sides of the equation by the outside number?

• Method 1

• Method 2

• Both methods

• Neither method