Algebra Semester Review

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 does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the purpose of using Desmos in algebra?

Back

Desmos is a graphing calculator that helps visualize equations and inequalities.

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 'r' value represent in a linear equation?

Back

The 'r' value often refers to the slope of the line, indicating its steepness and direction.

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.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept of 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

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components that, when multiplied together, give the original expression.