Combining Like Terms in 7th Grade Math

The video tutorial introduces the concept of combining like terms in algebraic expressions. It begins by setting goals for simplifying expressions and determining equivalence. The teacher demonstrates using substitution to check if expressions are equivalent and explains the process of combining like terms with relatable examples. The tutorial covers simplifying expressions using algebraic properties and concludes with distributing and combining terms in expressions.

What is the primary goal of learning to combine like terms?

• To solve complex equations

• To understand geometry better

• To write expressions with fewer terms

• To graph functions more easily

How can you check if two expressions are equivalent?

• By graphing them

• By dividing them

• By adding them

• By substituting values

What does combining like terms involve?

• Adding terms with the same variable and exponent

• Adding terms with different variables

• Multiplying terms with the same exponent

• Subtracting terms with different exponents

What analogy is used to explain combining like terms?

• Building with blocks

• Adding apples to oranges

• Mixing colors

• Adding apples to apples

How can you simplify the expression 10a - 3 + 4a?

• 14a - 3

• 10a + 1

• 14a + 1

• 6a - 3

What property allows you to rearrange terms when adding?

• Distributive property

• Associative property

• Commutative property

• Identity property

What is the result of combining -8x and 21y?

• 29xy

• -8x - 21y

• 13xy

• -8x + 21y

What is the first step in distributing and combining like terms?

• Multiply the terms

• Subtract the terms

• Divide the terms

• Add the terms

What does the expression 2x + 8 - 6 simplify to?

• 2x + 2

• 2x + 14

• 10x - 6

• 2x - 6

Why is it important to be able to simplify expressions?

• To change their meaning

• To make them longer

• To make them easier to understand

• To make them more complex