# Worksheet: Simplifying Inequalities by Adding or Subtracting

Q1:

Fill in the blank: If then .

• A
• B
• C

Q2:

Fill in the blank in the following rule on inequalities: If , then .

• A
• B
• C

Q3:

Complete using , , , or : If , then .

• A
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• D

Q4:

Given that , what number do you need to add to both sides of the inequality to solve for ?

Q5:

Given that , what number do you need to add to both sides of the inequality to solve for ?

Q6:

If , then .

• A
• B
• C1
• D15

Q7:

If , then .

• A
• B
• C1
• D5

Q8:

If , then .

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• D3

Q9:

If , then .

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• E

Q10:

If , then .

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• E

Q11:

Select the option that is equivalent to .

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• D

Q12:

Select the option that is equivalent to .

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• C
• D

Q13:

Select the option that is equivalent to .

• A
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• D

Q14:

Isabella has dollars. She wants to buy a book for \$10 and a pencil case for \$4. Which of the following describes the condition on for her to be able to afford both items?

• A
• B
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• D
• E

Q15:

The Airbus A380 can seat up to 853 passengers. If 379 passengers have already boarded the airplane, write an inequality to represent how many more people can still board.

• A
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• D
• E

Q16:

The population of a small village was already less than 213 when Daniel, his wife, and their children moved away. Write an inequality that represents the population of that village after the family left.

• A
• B
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• D
• E

Q17:

An online retailer offers free delivery when your purchase totals \$50 or more. James is preparing his order. He has already chosen items which total \$42. Which of the following describes the condition on , the cost of the additional items he needs to order for him to benefit from free delivery?

• A
• B
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• D
• E