Question 1

Sarah has 5 more than twice the number of pencils Sam has. If Sarah has fewer than 23 pencils, how many pencils does Sam have? Let

x

represent the number of pencils Sam has and write an inequality to represent this situation.

Accepted Answer

2x + 5 < 23

Answer

2x - 5 < 23

Answer

2x + 5 > 23

Answer

2x > 23

Question 2

Emma is saving money. She has twice as much money as Olivia. If Emma saves $30 more, she will have less than three times the amount Olivia has saved. If

x

represents the amount of money Olivia has, write an inequality to represent this situation.

Accepted Answer

2y + 30 < 3y

Answer

2y - 30 > 3y

Answer

2y - 30 < 3y

Answer

2y + 30 > 3y

Question 3

Jack has saved three times as much money as Jill. If Jack spends $15, he will still have more than twice the amount Jill has saved. If

x

represents the amount of money Jill has, write an inequality to represent this situation.

Accepted Answer

3z - 15 > 2z

Answer

3z - 15 < 2z

Answer

3z + 15 > 2z

Answer

3z + 15 < 2z

Question 4

In a video game, Kevin's score is 10 points more than double Alice's score. If Kevin's score is less than 150 points, which inequality represents Alice's score? Let

x

represent Alice's score.

Accepted Answer

2s + 10 < 150

Answer

2s - 10 > 150

Answer

2s + 10 > 150

Answer

2s - 10 < 150

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