Algebra Concepts A - Sem 1 EXAM

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

Front

Define a variable in algebra.

Back

A variable is a symbol, usually a letter, that represents an unknown value in an algebraic expression or equation. For example, in the expression 2x + 3, 'x' is the variable.

Front

What is the difference between an equation and an expression?

Back

An equation is a mathematical statement that asserts the equality of two expressions, while an expression is a combination of numbers, variables, and operations without an equality sign. For example, 2x + 3 = 7 is an equation, while 2x + 3 is an expression.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value of the variable that makes the equation true. For example, solving 2x + 3 = 7 gives x = 2.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parentheses.

Front

What is a coefficient?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What is a constant in algebra?

Back

A constant is a fixed value that does not change. In the expression 3x + 5, the number 5 is a constant.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 3y are not.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = 8x.

Front

What is the purpose of simplifying an expression?

Back

The purpose of simplifying an expression is to make it easier to work with by reducing it to its simplest form.