Algebraic Expressions Review

Front

What is a constant in an algebraic expression?

Back

A constant is a term in an algebraic expression that does not change its value. For example, in the expression 32y - 7x + 23, the constant is 23.

Front

How many coefficients are in the expression 32y - 7x + 23?

Back

There are 2 coefficients in the expression: 32 (for y) and -7 (for x).

Front

Identify the coefficient in the expression 6f^2 - 9.

Back

The coefficient is 6, which is the number multiplying the variable f^2.

Front

What are variables in the expression y + 5x - 10?

Back

The variables are y and x, which represent unknown values that can change.

Front

Simplify the expression: 3x^2 - x + 7 + 5x + 2 - 2x^2.

Back

The simplified expression is x^2 + 4x + 9.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables, and operations. For example, 4x + 3 is an algebraic expression.

Front

What is a term in an algebraic expression?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, such as 5x or -3.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 7x, 7 is the coefficient.

Front

What is the difference between a variable and a constant?

Back

A variable can change its value (like x or y), while a constant has a fixed value (like 5 or -3).

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.