Algebra I EOC Review

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in mathematical expressions or equations.

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 isolate a variable in an equation?

Back

Isolating a variable means rearranging the equation so that the variable is on one side of the equation and all other terms are on the opposite side.

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 is a statement that two expressions are equal.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you solve a linear equation in one variable?

Back

To solve a linear equation in one variable, you isolate the variable by performing inverse operations on both sides of the equation.

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 slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What are the steps to graph a linear equation?

Back

To graph a linear equation, identify the slope and y-intercept, plot the y-intercept on the graph, and use the slope to find another point.