A2T (SAT) Unit 1: Linear Equations and Expressions

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 does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x is 0.

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).

Front

What is the difference between an expression and an equation?

Back

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

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning they intersect at a right angle.

Front

How can you graph a linear equation?

Back

To graph a linear equation, find at least two points that satisfy the equation and plot them on a coordinate plane, then draw a line through the points.

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables. Solutions are the points where the equations intersect.