Solving Equations: Distributing and Combining Like Terms

This video tutorial covers solving equations by distributing and combining like terms. It begins with an introduction and objective, followed by examples demonstrating how to solve equations by distributing, combining like terms, and checking solutions. The tutorial provides detailed steps for solving equations and concludes with a final example, emphasizing the importance of these skills in the unit.

What is the main objective of this lesson?

• To practice multiplication tables

• To learn about geometric shapes

• To understand the concept of fractions

• To learn how to solve equations by distributing and combining like terms

In the first example, what is the first step to solve the equation -3(y - 4) = 27?

• Combine like terms

• Distribute -3 to both y and -4

• Add 4 to both sides

• Divide by -3

After distributing in the first example, what type of equation do we get?

• Two-step equation

• Linear equation

• One-step equation

• Quadratic equation

What is the solution for y in the equation -3(y - 4) = 27?

• y = 5

• y = -5

• y = 9

• y = -9

In the second example, what do we need to do first?

• Divide by the coefficient

• Add the constants

• Combine like terms

• Distribute the constants

What is the combined term of -6x and 2x in the second example?

• 6x

• 4x

• -8x

• -4x

What is the value of x in the equation -4x + 3 = 23?

• x = -7

• x = 5

• x = -5

• x = 7

What is the first step in solving equations with distributing and combining like terms?

• Combine like terms

• Distribute to get rid of parentheses

• Divide by the coefficient

• Add constants

In the example where we solve for x, what is the final value of x?

• x = 1

• x = 2

• x = 6

• x = 3

What is the value of m in the final example?

• m = 1/2

• m = 1/3

• m = 1/4

• m = 2/3