111.28.B.8.a Writing Equations and Inequalities

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Grade 8

Mathematics

Texas Essential Knowledge and Skills (TEKS)

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### Measures 1 skill fromGrade 8MathematicsTexas Essential Knowledge and Skills (TEKS)

Measures 1 skill from

Grade 8

Mathematics

Texas Essential Knowledge and Skills (TEKS)

8.8.A: Expressions, Equations and Relationships

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- Q1Serena has $550 in her bank account an Xander has $50 in his bank account. Serena deposits $20 into her account each week for w weeks. Xander deposits $60 into his account each week for w weeks. Assuming the accounts do not earn any interest, which inequality represents this situation when the amount of money in Serena’s account is greater than the amount of money in Xander’s account?60w + 50 > 550 + 20w60w + 550 > 50 + 20w60w + 50 < 550 + 20w60w + 550 < 50 + 20w300s8.8.A: Expressions, Equations and Relationships
- Q2Mt. Vernon Middle School and Crescent Point Middle School are selling cookies to raise money. Mt Vernon sells cookies for $0.50 each and has raised $200. Crescent Point sells cookies for $0.75 each and has raised $150. Which inequality can be used to find, c, the minimum number of cookies Crescent Point Middle School must sell in order to have raised as much money or more money than Mt. Vernon Middle School.0.50c + 150 ≤ 0.75c + 2000.50c + 150 ≥ 0.75c + 2000.50c + 200 ≤ 0.75c + 1500.50c + 200 ≥ 0.75c + 150300s8.8.A: Expressions, Equations and Relationships
- Q3An online movie rental company allows members to rent movies for $0.75 a night if the members pay a monthly membership fee of $10. Non-members can rent movies for $2 a night. The monthly cost to rent movies depends on the number of movies, m, rented. Which situation represents the situation where it costs less to be a member for one month than to be a non-member for one month?0.75m < 2m0.75m + 10 > 2m0.75m + 10 < 2m0.75m > 2m300s8.8.A: Expressions, Equations and Relationships
- Q4The following table shows the monthly payment and fees for using two different cell phone companies. Which inequality can be used to determine, x, the number of months that Low Price Cells is less than Good Deal Cells?50 + 60x > 100 + 75x50 + 75x < 100 + 60x50 + 60x < 100 + 75x50 + 75x > 100 + 60x300s8.8.A: Expressions, Equations and Relationships
- Q5Adrian and Isaac are picking apples. Adrian picks 4 apples a minute and has already picked 40 apples. Isaac picks 3 apples a minute and has already picked 70 apples. How many minutes, m, will it take for Adrian to have as many or more apples than Isaac?4m + 70 ≤ 3m + 404m + 70 ≥ 3m + 404m + 40 ≥ 3m + 704m + 40 ≤ 3m + 70300s8.8.A: Expressions, Equations and Relationships
- Q6Cindy has $60 in her bank account while Eric has $400 in his bank account. Cindy deposits $5 into her bank account every day while Eric withdraws $10 from his bank account every day. How many days, d, will it take for Cindy and Eric to have the same amount of money in their bank accounts?60 + 5d = 400 - 10d60 - 10d = 400 + 5d60 - 5d = 400 - 10d60 - 5d = 400 + 10d300s8.8.A: Expressions, Equations and Relationships
- Q7A full 200-gallon tank of water is leaking ½ a gallon of water an hour. An empty tank of water is being filled at a rate of 4 gallons an hour. How many hours, h, will it take for the two tanks to hold the same amount of water?200 - 4h = ½ h4h + 200 = ½ h200 + ½ h = 4h4h = 200 - ½ h300s8.8.A: Expressions, Equations and Relationships
- Q8Andrew Jackson Middle School has a student body of 1200 students. Thomas Jefferson Middle School has a student body of 800 students. On average, Andrew Jackson middle school gains 2 students a month whereas Thomas Jefferson gains 20 students a month. How many months, m, will it take for the two schools to have the same amount of students?800 + 20m = 1200 - 2m800 + 1200 = 2m + 20m800 + 20m = 1200 + 2m800 + 2m = 1200 + 20m300s8.8.A: Expressions, Equations and Relationships
- Q9Julia charges a $5 flat fee to babysit plus $9 an hour. Bree charges $12 an hour to babysit. How many hours, h, must Julia and Bree babysit in order for them to earn the same amount of money?12h = 9h + 512h = 14h12h = 9h12h + 5 = 9h300s8.8.A: Expressions, Equations and Relationships
- Q10Company A charges a $15 security deposit plus $5 an hour to rent a bike. Company B charges a $5 security deposit plus $10 an hour to rent a bike. How many hours, h, will it take for the two companies to charge the same amount?5h - 15 = 10h - 55h + 15 = 10h + 55h +15 = 10h - 55h + 5 = 10h + 15300s8.8.A: Expressions, Equations and Relationships