Exploring Adding and Subtracting Rational Expressions

What is a system of linear inequalities?

• A quadratic equation

• A set of linear equations

• Two or more linear inequalities graphed together

• A single linear inequality

Where is the solution to a system of linear inequalities found?

• Where the lines are parallel

• Where the shaded regions overlap

• Where the lines intersect

• Where the lines are perpendicular

What type of line is used when there is no equal sign in the inequality?

• Solid line

• Bold line

• Dashed line

• Dotted line

In the inequality y > -x - 1, which region should be shaded?

• Below the line

• None of the above

• Above the line

• On the line

What is the slope of the second inequality in the example?

• Positive 1 over 1

• Negative 1 over 1

• Positive 1 over 2

• Negative 1 over 2

What is the y-intercept of the second inequality in the example?

• -2

• -8

• -5/3

• -1

In the more complex system, why is the line solid?

• Because it is a quadratic equation

• Because it has an equal sign

• Because it is a dashed line

• Because it is a bold line

For the inequality 5x + 2y ≥ 4, which region should be shaded?

• None of the above

• Below the line

• Above the line

• On the line

What is the slope of the second inequality in the more complex system?

• Positive 1 over 4

• Negative 1 over 4

• Positive 1 over 2

• Negative 1 over 2

Where is the final solution found in a system of linear inequalities?

• Where the lines intersect

• Where the lines are perpendicular

• Where the shaded regions overlap

• Where the lines are parallel