STAAR 8.8A Writing Equations and Inequalities

Match the following

• Greater Than

• Less Than

• Greater Than or Equal to

• Less Than or Equal to

4. 4. A customer is ordering hats and t-shirts from an online store. Each hat costs $7, and each t-shirt costs $10. The customer receives free shipping in the amount of the order is over $100.

4. Write an inequality that represents all possible combinations of hats, x, and t-shirts, y, in an order that qualifies for free shipping.

Move the correct answer to each box. Not all answers will be used.

​ (a)   ​ x + ​ (b)   y ​ (c)   ​ (d)  

• 100
• 7
• 17
• 10
• >
• <
• =

A tank starts off containing 1,060 gallons of water, and 35 gallons of water leaks from the tank every hour. At the same time, an empty pool is filled with water at a rate of 480 gallons per hour. Which inequality represents all possible values for x, the number of hours that have passed when the tank contains less water than the pool?

• 1,060 + 35x > 480x

• 1,060 – 35x > 480x

• 1,060 – 35x < 480x

• 1,060 + 35x < 480x

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

• 17x = 30 + 7x

• 17x = 15 + 22x

• 17x = 7 + 30x

• 17x = 22 + 15x

Rectangle ABCD is shown with the dimensions given in units. The length of AB is greater than the length of AD. Which inequality represents this situation?

• 9x - 16 < 1.5x + 42

• 9x - 16 > 1.5x + 42

• 10.5x < 26

• 10.5x > 26

Helen had $330 in her savings account when Vince opened a savings account with zero dollars. - Helen deposited $30 into her account each week for x weeks. - Vince deposited $50 into his account each week for x weeks. - The accounts did not earn interest. Which inequality represents this situation when the amount of money in Helen’s account was greater than the amount of money in Vince’s account?

• 30x < 330 + 50x

• 50x > 330 + 30x

• 30x > 330 + 50x

• 50x < 330 + 30x

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria?

• 45,000x + 2,500x = 54,000x + 1,500x

• 45,000x + 2,500 = 54,000x + 1,500

• 45,000 + 2,500x = 54,000 + 1,500x

• 45,000x + 2,500x = 54,000 + 1,500

Two eighth-grade classes are selling raffle tickets to raise money. - One class is selling tickets for $2.50 each and has already raised $350. - The other class is selling tickets for $3.00 each and has already raised $225. Which equation can be used to find t, the number of tickets each class needs to sell so that the total amount raised is the same for both classes?

• 3t + 350 = 2.50t + 225

• 350t + 2.50 = 225t + 3

• 2.50t + 350 = 3t + 225

• Not here

Veronica is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at Company P is less than the total charge at Company R?

• 3.5 + 25x < 7.5 + 17x

• 3.5 + 25x > 7.5 + 17x

• 3.5x + 25 < 7.5x + 17

• 3.5x + 25 > 7.5x + 17

Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which inequality represents the situation when the monthly cost at Store S is less than the monthly cost at Store T?

• 2.5v + 5 < 5v

• 2.5v + 5 > 5v

• 7.5v < 5v

• 7.5v > 5v