Solving Linear Inequalities in One Variable

What is the general form of a linear inequality in one variable?

• ax + b = c

• ax + b < c

• ax + b > c

• ax + b ≤ c

Which of the following is NOT a valid inequality symbol?

• ≤

• >

• <

• =

How is x > 7 represented on a number line?

• A closed circle at 7 and shading to the left

• An open circle at 7 and shading to the right

• An open circle at 7 and shading to the left

• A closed circle at 7 and shading to the right

Tags

CCSS.6.EE.B.8

What does the addition property of inequality allow you to do?

• Add different values to both sides of an inequality

• Add the same value to both sides of an inequality

• Subtract the same value from both sides of an inequality

• Multiply both sides of an inequality by the same value

What must you do when you multiply both sides of an inequality by a negative number?

• Flip the direction of the inequality symbol

• Subtract the same value from both sides

• Keep the inequality symbol the same

• Add the same value to both sides

Tags

CCSS.6.EE.B.8

If -2x > 10, what is the solution for x?

• x > 5

• x < -5

• x > -5

• x < 5

Tags

CCSS.6.EE.B.8

How do you represent the solution x ≤ 6 in interval notation?

• (6, ∞)

• [6, ∞)

• (-∞, 6)

• (-∞, 6]

Tags

CCSS.6.EE.B.8

What is the interval notation for the inequality v > -4?

• [-4, ∞)

• (-∞, -4)

• (-∞, -4]

• (-4, ∞)

Tags

CCSS.6.EE.B.8

In a three-part inequality, what must you do to isolate the variable in the middle?

• Divide all three parts by the same negative value and flip the inequality symbols

• Add the same value to all three parts

• Subtract the same value from all three parts

• Multiply all three parts by the same positive value

What is the solution for the inequality 7v - 5 ≥ -61 and ≤ -40?

• v > -8 and v < -5

• -8 < v < -5

• v ≥ -8 and v ≤ -5

• -8 ≤ v ≤ -5