Algebra 1 Review #4

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

Front

What is the purpose of solving an equation?

Back

The purpose of solving an equation is to find the value(s) of the variable(s) that make the equation true.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform operations to make the expression as concise as possible.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

How do you solve a two-step equation?

Back

To solve a two-step equation, isolate the variable by performing inverse operations in the reverse order of operations.

Front

What is a function in algebra?

Back

A function is a relation that assigns exactly one output for each input, often represented as f(x).

Front

What is the difference between an expression and an equation?

Back

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