Add a Given Value: Equation

The video tutorial explains how to determine if two expressions have the same value by using equations. It introduces variables as unknown quantities represented by letters and demonstrates solving equations through substitution. The tutorial provides examples to test if given solutions are true or false, emphasizing the importance of performing operations in the correct order. The process of substituting values into equations to verify solutions is highlighted as a method applicable to any algebraic equation.

What is a variable in the context of algebraic equations?

• A mathematical operation

• A constant value that does not change

• An unknown quantity usually represented by a letter

• A known quantity represented by a number

If you substitute 4 for X in the equation 2X + 5 = 13, what is the result?

• 15 = 13, which is false

• 14 = 13, which is false

• 12 = 13, which is false

• 13 = 13, which is true

In the equation 6T - 8 = 25, is T = 5 a solution?

• Yes, because 30 - 8 equals 22

• No, because 30 - 8 equals 25

• No, because 30 - 8 equals 22

• Yes, because 30 - 8 equals 25

What is the correct order of operations when solving the equation 45 + 2B = 67?

• Addition before multiplication

• Multiplication before addition

• Division before multiplication

• Subtraction before addition

Is b = 15 a solution to the equation 45 + 2B = 67?

• Yes, because 45 + 30 equals 75

• No, because 45 + 30 equals 75

• No, because 45 + 30 equals 67

• Yes, because 45 + 30 equals 67