Algebra 1 Review Flashcardizz

Front

What is the distributive property in algebra?

Back

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

Front

How do you solve a linear equation?

Back

To solve a linear equation, isolate the variable on one side of the equation using inverse operations (addition, subtraction, multiplication, division) until the variable is alone.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input (x-value) has exactly one output (y-value). This means no x-value can correspond to more than one y-value.

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), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does it mean to solve an inequality?

Back

Solving an inequality involves finding the range of values for the variable that makes the inequality true, often resulting in a solution set.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality (above or below the line, depending on the inequality sign).

Front

What is the difference between a strict inequality and a non-strict inequality?

Back

A strict inequality (e.g., < or >) does not include the boundary value, while a non-strict inequality (e.g., ≤ or ≥) includes the boundary value.

Front

What is the process for solving a multi-step equation?

Back

To solve a multi-step equation, combine like terms, use the distributive property if necessary, and isolate the variable using inverse operations.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if any vertical line intersects the graph more than once, it is not a function.