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

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

Which of the following inequalities has infinite solutions?

• x > 8

• 3 < -3

• x < 0

• -5 ≤ -2

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

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

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