Solving One-Step Equations with Multiplication and Division

This lesson by Kirk Weiler focuses on solving one-step equations using multiplication and division. It begins with a review of solving equations using addition and subtraction, then moves on to checking if a value is a solution to an equation. The lesson provides detailed explanations and examples of solving equations by performing multiplication and division, including handling messy division results. It also covers modeling real-world problems with equations and concludes with a summary and preview of upcoming topics.

What is the first step to isolate the variable in the equation X + 8 = 24?

• Multiply both sides by 8

• Divide both sides by 8

• Subtract 8 from both sides

• Add 8 to both sides

If Y - 13 = 21, what operation should be performed to isolate Y?

• Subtract 13 from both sides

• Divide both sides by 13

• Add 13 to both sides

• Multiply both sides by 13

How do you check if a given value is a solution to an equation?

• By dividing the value by both sides of the equation

• By multiplying the value by both sides of the equation

• By adding the value to both sides of the equation

• By substituting the value into the equation and seeing if it makes the equation true

What is the solution to the equation 3X = 15?

• X = 3

• X = 5

• X = 15

• X = 45

To solve the equation 5X = 45, what should you do?

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 5 from both sides

• Add 5 to both sides

What is the solution to the equation 11N = 33?

• N = 3

• N = 33

• N = 11

• N = 44

How do you solve the equation Y/4 = 3/2?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 4

• Divide both sides by 4

What is the solution to the equation N/10 = 2?

• N = 30

• N = 20

• N = 10

• N = 5

If Jalen divides his cards into 6 piles and each pile contains 7 cards, how many total cards does he have?

• 63

• 56

• 49

• 42

What is the general method to solve an equation where a variable is divided by a number?

• Divide both sides by the number

• Multiply both sides by the number

• Subtract the number from both sides

• Add the number to both sides