Equations, Inequalities, Relationships

Which problem situation agrees with the equation

• Fred works 6 days and earns $4 each hour.

• Daphne started with $6 in her piggy bank. She is adding $4 each day. How many days will it take Daphne to have $42?

• Shaggy eats 4 hamburgers each day and has 6 cokes. If he has 42 dollars, how much was each burger?

• Velma buys 4 dozen doughnuts and has a coupon for $6, if her bill is $42 how much is each dozen?

Debbie has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. If each t-shirt costs $8, which inequality shows how many t-shirts Debbie can purchase?

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Two angles are related by the equation 4x + 12 = 90. Which value of x makes the equation true?

• 19.5

• 25.5

• 78

• 102

Write the equation and solve for x on the following triangle.

• 15

• 22.5

• 129

• 18

Which situation matches the inequality?

• Wyatt is saving money for a new game system. He currently has $150. He hopes to have the game system by his summer vacation which is 9 weeks away. The game system costs $300 including tax. How much money should Wyatt save each week to make sure he has enough money?

• Chris currently has $300 in his lunch account. He spends $9 per week on school lunches. His mother wants to make sure he has at least $150 in his account. After how many weeks will she deposit money to maintain this balance?

• At the gym, Kevin can choose between two memberships. He can choose Plan A where he pays $150 membership fee and $9 per session with trainer. He can choose Plan B where he pays $300 with no additional fees. How many trainer sessions could he schedule and still have Plan B be a better buy?

• Shamika was helping her dad plant some small trees at their new home. One of the trees is 150 inches tall. It will grow at a rate of about 9 inches per year. After how many years will the tree be more than twice its current height?

Lawrence's father gave him 200 baseball cards. Each week, Lawrence purchases 25 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 than 750 baseball cards in his collection?

• 200w +25 < 750

• 25w + 200 < 750

• 200w + 25 > 750

• 25w + 200 > 750

Which situation best represents 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 $123.95 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?

• 1

• 7

• -5

• -1

If x = -6, which inequality is true?

• -5 - 3x > 10

• -3 - 5x < -14

• 1 - 2x > 13

• 2 - x < -3

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

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