Exploring Multistep Inequalities

What is the first step in solving a multi-step inequality?

• Simplify the expressions on both sides

• Check the solution

• Move all terms to one side

• Combine like terms on both sides

When solving the inequality -8x + 2x < -5x + 7x, what is the result after combining like terms?

• -6x < 12x

• 6x < 2x

• 6x < -2x

• -6x < 2x

What should you do if you encounter a negative variable while solving an inequality?

• Multiply or divide by a positive number to make it positive

• Ignore it

• Subtract it from both sides

• Add it to the other side

Tags

CCSS.6.EE.B.8

What happens to the inequality sign when you multiply or divide both sides by a negative number?

• It disappears

• It flips

• It stays the same

• It becomes an equal sign

Tags

CCSS.6.EE.B.8

Which of the following inequalities has infinite solutions?

• x > 8

• 3 < -3

• x < 0

• -5 ≤ -2

Tags

CCSS.6.EE.B.8

What does the null sign represent in inequalities?

• All real numbers

• One solution

• No solution

• Infinite solutions

In the word problem involving movie rentals, what is the inequality used to determine when Plan B is cheaper than Plan A?

• 40 ≥ 1.25m + 25

• 40 ≤ 1.25m + 25

• 40 > 1.25m + 25

• 40 < 1.25m + 25

Tags

CCSS.7.EE.B.4B

If Jim needs an average of at least 90 on two tests and scored 95 on the first test, what is the minimum score he needs on the second test?

• 80

• 85

• 95

• 90

Tags

CCSS.7.EE.B.4B

In the word problem involving movie rentals, how many movies must be rented for Plan B to be cheaper than Plan A?

• 21

• 20

• 19

• 18

What is the correct interpretation of the inequality m > 85 in the context of the movie rental problem?

• Plan B is cheaper for less than 85 movies

• Plan A is cheaper for more than 85 movies

• Plan A is cheaper for less than 85 movies

• Plan B is cheaper for more than 85 movies