Equations and Inequalities

A copy center charges a design set-up fee of $25 per project plus $0.79 per color copy.  Shayla spent $198.80 having her project completed.   When x represents the number of color copies, which equation can be used to represent this situation?

• Yes

• No

James had a collection of rocks.  He then found six more rocks on a hiking adventure with his friends.  Later he decided to give half of all of his rocks away to a friend.  He now has 15 rocks remaining.  How many rocks did James originally have? Which equation would be used to solve this situation?

Which situation can be represented by this inequality?

• Stefan spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more then $50?

• Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?

• Stefan earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?

• Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?

Which situation is best represented by the following equation? 45w + 123.95 = 753.95

• Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

The model represents an inequality. What is the solution set for the inequality?

• x ≤ -5

• x ≤ 5

• x ≤ 1

• x ≤ -14

Walter and Brian each have a CD collection. -The number of CDs in Walter's collection can be represented by x. -The number of CDs in Brian's collection is 3 times the number in Walter's collection. -The total number of CDs in both collections is 144. What is x, the number of CDs in Walter's collection?

• 108

• 48

• 72

• 36

Lawrence's father gave him 200 baseball cards. Each week, Lawrence purchases 25 baseball cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Lawrence will have more then 750 baseball cards in his collection?

• 200w + 25 < 750

• 25w + 200 < 750

• 200w + 25 > 750

• 25w + 200 > 750

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

• 3h - 2 ≤ 14

• 3h + 2 ≤ 14

• 3h - 2 ≥ 14

• 3h + 2 ≥ 14

Which number line best represents the solution to the inequality 3.3w - 9 > -22.2?

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