Algebra SOL Review 3

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

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. For example, in the equation x + 3 = 7, solving for x gives x = 4.

Front

What is a 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 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

What is a coefficient?

Back

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

Front

What is a constant in algebra?

Back

A constant is a fixed value that does not change. For example, in the expression 2x + 5, the number 5 is a constant.

Front

What is the difference between an equation and an expression?

Back

An equation is a statement that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over the run (change in y over change in x). It indicates how much y changes for a change in x.