Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operations (like addition, subtraction, multiplication, and division).

Front

What does it mean to factor an expression?

Back

Factoring an expression means rewriting it as a product of its factors. For example, factoring 4x + 10 gives 2(2x + 5).

Front

Factor the expression: 4x + 10

Back

2(2x + 5)

Front

Evaluate the expression when a = 15: 2(a - 5) + 2

Back

22

Front

Evaluate the expression: 13 + 6x for x = 2

Back

25

Front

What is the value of the expression 2(a - 5) + 2 when a = 15?

Back

22

Front

Factor the expression: 14x + 20

Back

2(7x + 10)

Front

What is a variable in algebra?

Back

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

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. For example, in 3x, 3 is the coefficient.

Front

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.