Combining Like Terms and Solving Equations

This video tutorial explains how to solve equations by combining like terms. It begins with an introduction to the concept and proceeds with four examples, each demonstrating different aspects of solving two-step equations. The tutorial covers identifying like terms, combining them, and solving for the variable by isolating it through addition, subtraction, and division. Each example builds on the previous one, reinforcing the method of solving equations using like terms.

What is the first step in solving equations using combining like terms?

• Draw a wall

• Add all terms

• Multiply all terms

• Subtract all terms

What do you do after identifying like terms?

• Ignore them

• Add or subtract their coefficients

• Divide them

• Multiply them

What is the result of combining -5x and 3x?

• 8x

• -8x

• -2x

• 2x

What is the next step after combining like terms in a two-step equation?

• Multiply both sides by a constant

• Add a constant to both sides

• Subtract a constant from both sides

• Divide both sides by a constant

What is the solution to the equation -2x = 2?

• x = 1

• x = -1

• x = 2

• x = -2

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

• Divide both sides by a constant

• Add a constant to both sides

• Multiply both sides by a constant

• Subtract a constant from both sides

What is the result of dividing 2 by -2?

• 1

• 0

• 2

• -1

In the second example, what is the result of combining -6x and -1x?

• 5x

• -7x

• -5x

• 7x

What is the result of combining 2 and -3?

• -1

• 5

• 1

• -5

What is the solution to the equation -7x = 8?

• x = -8/7

• x = 8/7

• x = -1

• x = 1