Combining Like Terms and Properties

The video tutorial explains how to simplify expressions by using mathematical properties such as the associative and commutative properties. It demonstrates the process of combining like terms and reordering terms to achieve equivalent expressions. The tutorial also covers the multiplication property of one, providing step-by-step examples to illustrate these concepts.

What is the first step in simplifying the expression 7 + 12x?

• Use the multiplication property

• Change the order

• Combine the numbers and variables

• Change the grouping

Why can't 12 and x be combined directly?

• They are both variables

• They are not like terms

• They are both numbers

• They are already combined

Which property is used when changing the grouping of terms?

• Commutative property

• Associative property

• Multiplication property

• Distributive property

What is the result of combining 7 and 12 in the expression 7 + 12x?

• 12x + 7

• 19x

• 19

• 7x + 12

What is the commutative property used for?

• Changing the order of terms

• Changing the grouping of terms

• Combining like terms

• Simplifying expressions

What is the equivalent expression for 6.1 + 8.4 + x?

• 6.1x + 8.4

• 6.1 + 8.4x

• 14.5 + x

• 14.5x

What is the simplified form of 55 * y?

• 55 + y

• 55y

• y + 55

• 55 * y

Which property is used to change the order of terms in an expression?

• Associative property

• Distributive property

• Commutative property

• Multiplication property

What is the result of simplifying 4.5 * 1 * r?

• 4.5r

• 4.5 + r

• r + 4.5

• 4.5 * r

Which property can be used to group 1 and r together in the expression 4.5 * 1 * r?

• Associative property

• Commutative property

• Multiplication property of one

• Distributive property