Algebra Graphed System of Inequalities

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The point (0, 4) is a solution to the system of inequalities graphed.

• True

• False

Let x represent the number of hours Trenton spends studying algebra, and let y represent the number of hours he spends studying for history. Write an inequality to represent the given statements. Trenton has a total of at most 8 hours to study for both algebra and history combined. Trenton will spend at least 2 hours studying algebra.

Which of the following points lie in the solution set graphed below. Select all that apply.

• (-5, 3)

• (1, -2)

• (0, -4)

• (-8, -1)

Answer explanation

Take a look at the image attached. The 1st point is green, the 2nd point is pink, the 3rd point is blue, and the 4th point is red

Only the green and red point are in the shaded area, that means those points are apart of the solution.

The graph below shows the solution to a system of linear inequalities. Which 2 inequalities are represented in the graph above? Select TWO answers.

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Answer explanation

Steps:

1. 1. Find the slope and y-intercept of the first line

3. 2. Determine which inequality to use based on if the line is solid or dashed AND if the shading is above or below

3. 3. Repeat steps 1 and 2 for the second line

Which of the following graphs best represents the solution of the system of inequalities?

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Answer explanation

Which of the following points is a solution to the set of inequalities shown below?

• (4, 0)

• (0, -2)

• (-3, 2)

• (5, -5)

Answer explanation

State the clear solution to the system graphed.

Answer explanation

The solution is where the lines in a system INTERSECT!

an inequality in the form Ax + By (> , < , ≤ , ≥) C where A, B, and C are constants and A and B are not both zero.

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations

an ordered pair (x, y) that makes the inequality true

• piecewise defined function

• linear inequality

• solution to a linear inequality

• boundary line

• system of linear equations