Algebraic Expressions and Equations

Front

What is an algebraic expression?

Back

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

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, indicated by an equality sign (e.g., 2x + 3 = 7).

Front

How do you simplify the expression 3x - 5 + 2x + 7?

Back

Combine like terms: 3x + 2x = 5x and -5 + 7 = 2. So, the simplified expression is 5x + 2.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = 1/2 * base * height.

Front

How do you find the volume of a rectangular prism?

Back

The volume of a rectangular prism is found using the formula: Volume = length * width * height.

Front

What is the probability of an event?

Back

Probability is a measure of the likelihood that an event will occur, calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².

Front

How do you calculate the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length * width.

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 is a variable in algebra?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an expression or equation, such as x or y.