Modeling Expressions

Front

What is an algebra tile?

Back

An algebra tile is a manipulative used to represent algebraic expressions and equations visually. They can represent constants, variables, and their products.

Front

What does the term '-5x' represent in algebra?

Back

'-5x' represents a term where 'x' is multiplied by -5, indicating a negative coefficient for the variable.

Front

How do you evaluate the expression 3y + 5 when y = 4?

Back

Substituting y with 4 gives: 3(4) + 5 = 12 + 5 = 17.

Front

What is the expression represented by the algebra tiles showing 3 positive units and 3 negative units?

Back

The expression is '3x + 3', indicating 3 units of the variable 'x' and a constant of 3.

Front

What does the expression '3x - 6' indicate?

Back

'3x - 6' indicates that there are 3 units of the variable 'x' and a subtraction of 6 from the total.

Front

What is the value of 'x' in the expression '-3x' if x = 2?

Back

Substituting x with 2 gives: -3(2) = -6.

Front

What is the difference between a term and an expression?

Back

A term is a single mathematical entity (like '3x' or '5'), while an expression is a combination of terms (like '3x + 5').

Front

What does the term '-3x^2' represent?

Back

'-3x^2' represents a term where 'x' is squared and multiplied by -3, indicating a negative quadratic term.

Front

How do you combine like terms in the expression '2x + 3x - 5'?

Back

Combine the like terms: (2x + 3x) - 5 = 5x - 5.

Front

What is the process to simplify the expression '4x - 2x + 7'?

Back

Combine like terms: (4x - 2x) + 7 = 2x + 7.