Multi-Step Equations Guided Notes

Consider the equation 3x + 4 -6x = -11. Which like terms can be combined to simplify both sides of the equation?

• 3x

• 4

• -6x

• -11

• 6x

Consider the equation -2 + 5w - 5 = 35. The first step to solve this equation is to:

• Combine the -2 and -5 on the left side of the equation.

• Use the distributive property.

• Add/subtract on both sides of the equation.

• Multiply/divide on both sides of the equation.

Consider the equation 2x + 3x + 4 + 5 = 9 + 10. What simpler equation does combining like terms give you?

(a)  

Solve 2x + 3x + 4 + 5 = 9 + 10 for x. What is the solution to the equation?

• x=2

• x=-2

• x=19/14

What is the first step to solve the equation 3 - 4(x - 5) = -1?

• Distribute the -4.

• Combine like terms.

• Add to both sides of the equation.

• Divide on both sides of the equation.

What is the first step of solving the equation 2x - 4x - 17 = -5?

• Combine like terms.

• Add/subtract on both sides.

• Multiply/divide on both sides.

• Distribute.

Solve the equation 6x - x - 7 = 8

(a)  

Solve the equation: 2(x+4) + 3x = 28

(a)  

2(x + 2) + 3(2x + 5) = 35

(a)