Algebra 1 - Midterm Exam (Ch. 1-5)

Front

What does it mean to solve for x in an equation?

Back

To solve for x means to isolate x on one side of the equation, making it the subject of the equation.

Front

What is slope-intercept form of a linear equation?

Back

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

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation, if necessary, and then isolate the variable.

Front

What is an absolute value inequality?

Back

An absolute value inequality is an inequality that contains an absolute value expression, indicating a range of values.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves shading a region of the graph that represents all the solutions to the inequality.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation shows equality (e.g., y = 2x + 3), while a linear inequality shows a range of values (e.g., y < 2x + 3).

Front

What is the purpose of rearranging an equation?

Back

Rearranging an equation helps to isolate the variable and make it easier to solve.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.

Front

How do you determine if a point lies on a line represented by an equation?

Back

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.