Parts of Algebraic Expressions

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in the expression 3x^5, 3 is the coefficient.

Front

Identify the constants in the expression: 3x^5 + 6y^2 + g + 12

Back

The constants are 12 and 1 (the coefficient of g is implicitly 1).

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. For example, in the expression 4y + 2 + x, 2 is a constant.

Front

Define an algebraic expression.

Back

An algebraic expression is a mathematical phrase that includes at least one variable and an operation, such as addition or multiplication.

Front

Which of the following is an example of an algebraic expression? 3(2 + 7) - 10, 78 - 5 + 3, 3x + 6y, 8(3) - 5 + 2

Back

3x + 6y is an algebraic expression.

Front

What is the variable in the expression 4y + 2 + x?

Back

The variables are y and x.

Front

Identify the coefficients in the expression: 6a + 5b - 3.

Back

The coefficients are 6 and 5.

Front

What is the difference between a numerical expression and an algebraic expression?

Back

A numerical expression contains only numbers and operations, while an algebraic expression includes at least one variable.

Front

Identify the constant(s) in the expression: 18 + 14s - 6t + 7 + 6.

Back

The constants are 18, 7, and 6.

Front

What is the role of a variable in an algebraic expression?

Back

A variable represents an unknown value and can change or vary within the expression.