Properties and Algebraic Expressions Practice

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 'variable' in algebra.

Back

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

Front

What does 'evaluate' mean in mathematics?

Back

To evaluate means to calculate the value of an expression by substituting numbers for variables. For example, evaluating 2x + 3 for x = 4 gives 2(4) + 3 = 11.

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, using an equality sign.

Front

What does 'distributive property' mean?

Back

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

Front

How do you simplify the expression 4(k - 16)?

Back

To simplify, apply the distributive property: 4(k - 16) = 4k - 64.

Front

What is the term for the number in front of a variable in an expression?

Back

The term is called a 'coefficient.' For example, in 5x, 5 is the coefficient of x.

Front

What does 'combining like terms' mean?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, 3x + 4x = 7x.

Front

What is the result of 18 - r?

Back

The expression 18 - r represents a value that is 'r less than 18.'

Front

How do you express 'three times a number increased by nine' in algebraic form?

Back

It can be expressed as 3h + 9.