Expressions vs Equations: Combining Like Terms Explained

Miss Yanasek introduces the first digital lesson of the school year, focusing on expressions and equations. The lesson covers the definitions and differences between expressions and equations, emphasizing the presence or absence of an equal sign. Key vocabulary such as variables, coefficients, and terms are explained. The lesson concludes with a detailed guide on combining like terms, preparing students for the next lesson on the distributive property.

What is the main learning target for this lesson?

• To understand geometric shapes

• To learn about calculus

• To identify and simplify expressions and equations

• To solve complex equations

Which of the following is an example of an expression?

• x + 5 = 10

• 7m = 82

• 5x^2 + 4 - 8z

• 2x - 3 = 5

What distinguishes an equation from an expression?

• An equation has an equal sign

• An equation has variables

• An equation has coefficients

• An equation has terms

In the equation 5x^2 = 100, what is the term on the right side?

• 5

• x^2

• 100

• 5x^2

What is a variable in an equation or expression?

• A number in front of a term

• A letter representing a number

• A constant value

• A mathematical operation

What is a coefficient?

• A letter representing a number

• A constant value

• A number directly in front of a variable

• A mathematical operation

How are terms in an expression or equation separated?

• By plus and minus signs

• By variables

• By coefficients

• By equal signs

What does it mean to combine like terms?

• To add all terms together

• To group and simplify terms that are alike

• To multiply terms

• To divide terms

In the expression 3x - 7x, what is the result after combining like terms?

• 10x

• 4x

• -4x

• -10x

What is the simplified form of the expression 2z - 9z?

• 11z

• -11z

• -7z

• 7z