On-Level Exit Ticket 11/6

Front

What does it mean to combine like terms in an algebraic expression?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the simplified form of the expression 3 + 6 + 3a?

Back

The simplified form is 3a + 9 or 9 + 3a.

Front

How do you identify like terms in an expression?

Back

Like terms are terms that have the same variable and exponent. For example, 2a and 5a are like terms, while 2a and 3b are not.

Front

What is the first step in simplifying the expression 10a - 5 - 12a + 14?

Back

The first step is to group the like terms together: (10a - 12a) and (-5 + 14).

Front

What is the final simplified form of the expression 10a - 5 - 12a + 14?

Back

The final simplified form is -2a + 9 or 9 - 2a.

Front

What is the importance of simplifying algebraic expressions?

Back

Simplifying algebraic expressions makes them easier to work with and helps in solving equations and inequalities.

Front

Can constants be combined with variable terms?

Back

No, constants cannot be combined with variable terms. They are separate types of terms.

Front

What is an example of an expression that cannot be simplified further?

Back

An example is 4x + 5y, as there are no like terms to combine.

Front

What is the distributive property and how does it relate to combining like terms?

Back

The distributive property states that a(b + c) = ab + ac. It helps in expanding expressions before combining like terms.

Front

How do you handle negative coefficients when combining like terms?

Back

When combining like terms with negative coefficients, treat the negative sign as part of the coefficient. For example, -2a and 3a combine to 1a or a.