Solving Equations with Parentheses

The video tutorial demonstrates solving the equation 7(9 + K) = 84 using the distributive property and basic algebraic operations. The instructor begins by distributing the 7, simplifies the equation, isolates the variable K, and solves for its value. The solution is verified by substituting K back into the original equation. The video concludes with a call to action to subscribe for more math and science content.

What is the first step in solving the equation 7 * (9 + K) = 84?

• Subtract 84 from both sides

• Distribute the 7

• Divide by 7

• Add 9 and K

After distributing the 7, what is the next step to isolate K?

• Multiply both sides by 7

• Add 63 to both sides

• Subtract 63 from both sides

• Divide by 9

What operation is used to solve for K after simplifying the equation to 7K = 21?

• Multiplication

• Subtraction

• Division

• Addition

What is the value of K in the equation 7 * (9 + K) = 84?

• 3

• 4

• 2

• 5

How do you verify the solution K = 3 in the original equation?

• By dividing 3 by 9 and subtracting 7

• By subtracting 3 from 9 and dividing by 7

• By multiplying 3 by 9 and adding 7

• By adding 3 to 9 and multiplying by 7

What is the result of 7 * 12 in the verification step?

• 72

• 74

• 84

• 94