Graph the solutions to a linear inequality in two variables as a half-plane and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Sample Practice Questions (3)

The graph below shows a solid boundary line with shading in the half-plane below the line. Which inequality is represented by this graph?

y \leq \frac{1}{2} x - 2

y < \frac{1}{2} x - 2

y \geq \frac{1}{2} x - 2

y \leq 2 x - 2

Multiple choice · diagramSee Answer + Explanation →

A system of inequalities is graphed below. Line 1 is solid and shaded above. Line 2 is dashed and shaded below. Which system of inequalities is represented?

y \geq x

and

y < - x + 2

y > x

and

y \leq - x + 2

y \leq x

and

y > - x + 2

y \geq x

and

y < x + 2

Multiple choice · diagramSee Answer + Explanation →

Which inequality is represented by the graph provided, which shows a dashed line passing through

(0, - 3)

and

(1.5, 0)

with shading above the line?

y > 2 x - 3

y \geq 2 x - 3

y < 2 x - 3

y > \frac{1}{2} x - 3

Multiple choice · diagramSee Answer + Explanation →

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More Algebra I Standards

NY-A.SSE.1aInterpret parts of an expression such as terms factors and coefficients in context.→NY-A.SSE.1bInterpret complicated expressions by viewing one or more of their parts as a single entity.→NY-A.SSE.2Use the structure of an expression to identify ways to rewrite it. For example see x⁴ - y⁴ as (x²)² - (y²)² and factor accordingly.→NY-A.SSE.3aFactor a quadratic expression to reveal the zeros of the function it defines.→

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