CSA Review 13.5

Front

What is the distributive property in mathematics?

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

How do you simplify the expression 2x + 7(x - 5) - 4?

Back

Combine like terms: 2x + 7x - 35 - 4 = 9x - 39.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is a variable.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 3x + 4x = 7x.

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, using an '=' sign, while an expression does not include an '=' sign.

Front

What is the order of operations in mathematics?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered as PEMDAS.

Front

What is a coefficient in algebra?

Back

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

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

Front

What is a constant in mathematics?

Back

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