TOPIC 3 - Numeric and Algebraic Expressions

Front

What is a numeric expression?

Back

A numeric expression is a mathematical phrase that includes numbers and operation symbols (like +, -, ×, ÷) but no variables.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that includes numbers, variables (like x or y), and operation symbols.

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 and performing the operations.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

How do you simplify the expression 3(x + 4)?

Back

You simplify it by using the distributive property: 3(x + 4) = 3x + 12.

Front

What is the greatest common factor (GCF)?

Back

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

Front

How do you find the GCF of 18 and 12?

Back

The GCF of 18 and 12 is 6, as it is the largest number that divides both evenly.

Front

What is a variable in algebra?

Back

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

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.

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an algebraic expression.