Simplifying Algebraic Expressions

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change. In the expression 5g^3 + 2, the constant is 2.

Front

What does x ⋅ x equal?

Back

x ⋅ x equals x^2.

Front

How do you express 'eight plus triple the number of shirts' in algebraic form?

Back

It can be expressed as 8 + 3s, where s is the number of shirts.

Front

What is the simplified form of the expression 3x + 2x?

Back

The simplified form is 5x.

Front

How do you evaluate the expression 5a + 7a - 8 when a = 4?

Back

First, substitute a with 4: 5(4) + 7(4) - 8 = 20 + 28 - 8 = 40.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations (like addition and multiplication) that represents a value.

Front

What is a variable in algebra?

Back

A variable is a symbol (often a letter) that represents an unknown value in an expression or equation.

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.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

What is the coefficient in the expression 7x?

Back

The coefficient is the number in front of the variable, which is 7 in this case.