Understanding Variables, Constants, and Solving Equations

The video tutorial explains how to identify variables and constants in equations, solve equations by moving constants to one side, and isolate variables using opposite operations. It demonstrates the process of dividing to solve equations and verify solutions by plugging values back into the original equation.

What is a constant in the context of an equation?

• A value that can change

• A coefficient that multiplies a variable

• A fixed value that does not change

• A variable that can be isolated

What is the first step in solving the equation x + 6 = -4?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by 6

• Divide both sides by 6

After solving the equation x + 6 = -4, what is the value of x?

• -4

• -2

• 0

• -10

How do you verify the solution of an equation?

• By changing the constants

• By solving the equation again

• By checking if the solution satisfies the original equation

• By multiplying the solution by a coefficient

What is a coefficient in an equation?

• A constant value

• A variable that changes

• A solution to the equation

• A number that multiplies a variable

In the equation -7x = -21, what operation is used to isolate x?

• Subtraction

• Addition

• Division

• Multiplication

What is the result of dividing a negative number by another negative number?

• A positive number

• Zero

• An undefined number

• A negative number

What is the value of x in the equation -7x = -21?

• 4

• 1

• 2

• 3

How do you verify the solution x = 3 in the equation -7x + 18 = -3?

• By dividing both sides by 3

• By adding 3 to both sides

• By multiplying both sides by 3

• By substituting x = 3 back into the equation

What is the final step in solving an equation?

• Changing the constants

• Verifying the solution

• Isolating the variable

• Multiplying by a coefficient