Algebraic Equations

This video tutorial introduces algebraic equations, explaining that they are number sentences with variables that need to be solved. It covers how to write algebraic expressions and solve equations by isolating the variable. The tutorial provides examples and practice problems to reinforce the concepts, emphasizing the importance of performing operations on both sides of the equation to maintain balance.

What is the term used for the letter in an algebraic equation that represents an unknown value?

• Variable

• Coefficient

• Exponent

• Constant

In the equation 6P = 30, what operation is implied between the number 6 and the variable P?

• Division

• Multiplication

• Subtraction

• Addition

How would you write the equation for '20 divided by a number equals 5' using a variable?

• 20 * M = 5

• 20 + M = 5

• 20 - M = 5

• 20 / M = 5

What is the first step in solving the equation X + 10 = 44?

• Divide both sides by 10

• Add 10 to both sides

• Subtract 10 from both sides

• Multiply both sides by 10

When solving an equation, what must you remember to do to both sides?

• Add the same number

• Perform the same operation

• Multiply by the same number

• Subtract the same number

In the equation X - 40 = 152, what operation should be performed to isolate X?

• Divide both sides by 40

• Add 40 to both sides

• Subtract 40 from both sides

• Multiply both sides by 40

What is the value of X in the equation X - 40 = 152?

• 112

• 40

• 192

• 152