Linear Equations & Inequalities Practice

Vocabulary and conceptual flashcards based on linear equations, inequalities, and their graphical representations from the practice quiz.

Slope-intercept form for Question 1

The equation $y = 2x - 2$, where the line crosses the y-axis at $-2$ and rises $2$ units for every $1$ unit to the right.

Slope Calculation (Question 2)

A slope of $-\frac{1}{2}$, which occurs when a line falls $1$ unit for every $x$ increase of $2$ units.

Graph of $y = \frac{1}{2}x - 2$

A line that crosses the y-axis at $-2$ and has a gentle positive slope of $\frac{1}{2}$.

Graph of $y = -2x + 1$

A line that crosses the y-axis at $1$ and has a steep negative slope of $-2$.

Graphing $x > 3$

An inequality represented on a number line by an open circle at $3$ with shading extending to the right.

Graphing $x \text{ ≤ } -1$

An inequality represented on a number line by a closed circle at $-1$ with shading extending to the left.

Solution to $3x - 2 \text{ ≥ } x + 6$

The result $x \text{ ≥ } 4$, which is graphed with a closed circle at $4$ and shading to the right.

Inequality Sign Reversal Rule

The requirement to flip the inequality sign when dividing by a negative number, such as converting $-2x < 4$ to $x > -2$.

Graphing $y \text{ ≥ } x - 1$

A linear inequality represented by a solid boundary line with shading above the line.

Graphing $y < -\frac{1}{2}x + 2$

A linear inequality represented by a dashed boundary line with shading below the line.