TOPIC 3 - Numeric and Algebraic Expressions

Front

What is the Least Common Multiple (LCM)?

Back

The LCM of two or more numbers is the smallest number that is a multiple of each of the numbers.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 21x², 21 is the coefficient.

Front

How do you find the LCM of 2, 4, and 6?

Back

List the multiples of each number: Multiples of 2: 2, 4, 6, 8, 10, 12...; Multiples of 4: 4, 8, 12...; Multiples of 6: 6, 12...; The LCM is 12.

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 two or more terms inside a set of parentheses.

Front

Evaluate the expression 3x + 4 when x = 2.

Back

3(2) + 4 = 6 + 4 = 10.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 2x + 3.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting numbers for the variables.

Front

What is the difference between a term and an expression?

Back

A term is a single mathematical entity (like 5x or 3), while an expression is a combination of terms (like 5x + 3).

Front

How do you simplify the expression 2(x + 3)?

Back

Using the distributive property: 2(x) + 2(3) = 2x + 6.

Front

What is the greatest common factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides each of the numbers without leaving a remainder.