Writing Equations & Inequalities: Distance Learning Wk6 Assign 1

Send a video. Not a thousand words. Click here to watch the video on how to write equations. How to write equations Send a video. Not a thousand words. Click here to review how to write inequalities. How to write inequalities 1. The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?Remember to use the strategy ROT to help you write the inequality.Repeating value (+or-) One-time value (<,>,<,>) Total value(repeater gets variable)Remember: when subtracting, you may need to rearrange the order of R and O to make sure you are subtracting the correct value.Remember: equations use = inequalities use <,>,<,> 3.5x - 71< 50 71 - 3.5x < 50 71 + 3.5x < 50 71 - 3.5x ≤ 50 2. The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it will take for Casey's dog to reach 70 lbs? 106 - 4x < 70 4x - 106 < 70 106 - 4x > 70 4x - 106 > 70 3. The members of Indian Spring Middle School's cheer squad need to raise at least $2000 to attend their national competition. They raised $300 with their last fundraiser and decide to host a school talent show to raise the rest. They plan to charge $10 for each ticket. Write an inequality that could be used to determine the number of tickets they must sell to reach their goal?Remember to use your ROT strategy...R (+or -) O (<,><,>) TRemember that the repeating value gets the variable because you need to know how many times to repeat that value. 4. Juan bought a soda for $2. He also bought some nachos for $3 each. Juan had a maximum of $14 to spend on the nachos and the soda. Write an inequality can be used to find n, the number of nachos that Juan could have bought. 3n + 2 > 14 2n + 3 > 14 2n + 3 < 14 3n + 2 < 14 5. Alexa has $60 to spend on clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an equation that could be used to find x, the number of t-shirts Alexa can buy.Remember to use your ROT strategy to help you write the equation.R (+or-) O (=) T 6. Which situation can be represented by the inequality 12 + 5x ≤ 125?Hint: think about what is being repeated and what you do only one time to help narrow your answer choices. Then, decide if < is going to use at most or at least. Main Event charges $5 plus $12 per person to play laser tag. If Andrea has at least $125 to spend, how many people can Andrea invite to play laser tag? Main Event charges $12 plus $5 per person to play laser tag. If Andrea has at least $125 to spend, how many people can Andrea invite to play laser tag? Main Event charges $5 plus $12 per person to play laser tag. If Andrea has at most $125 to spend, how many people can Andrea invite to play laser tag? Main Event charges $12 plus $5 per person to play laser tag. If Andrea has at most $125 to spend, how many people can Andrea invite to play laser tag? 7. Which situation can be represented by the equation 40x + 20 = 200?Hint: think about which term is the repeating value and look for that repeating value to help you narrow down your choices. Mitch owed Jason $200. Mitch borrowed $20 more. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money? Mitch owed Jason $200. Mitch already paid Jason back $20. If Mitch pays Jason back $40 per week, how many weeks will it take him to pay back the money? Mitch owed Jason $200. Mitch borrowed $40 more. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money? Mitch owed Jason $200. Mitch already paid back $40. If Mitch pays Jason back $20 per week, how many weeks will it take him to pay back the money? 8. A donut shop charges $0.75 for each donut and $0.30 for a carryout box. Shirley has $5.00 to spend. If she buys one carryout box and fills it with donuts, write an equation that could be used to determine how many donuts she will be able to purchase. Write your equation in the space provided. Be sure to use the ROT strategy.R (+ or-) O (=) T 9. FELICIA MAKES $14 AN HOUR WORKING AT FORNEY GROCERY. SHE ALSO MAKES $55 A MONTH DOING CHORES AT HOME. WRITE AN EQUATION TO DETERMINE HOW MANY HOURS, H, SHE WORKED AT THE GROCERY STORE IF SHE MADE $1,175 BEFORE TAXES THIS MONTH. 14h + 55 = 1175 14 + 55h = 1175 14h - 55 = 1175 55h -14 = 1175 10. LUNA IS PLANTING FLOWERS AT HER VOLUNTEER ACTIVITY. THEY HAVE ALREADY PLANTED 40 FLOWERS. SHE CAN PLANT 14 FLOWERS PER HOUR. WRITE AN EQUATION TO REPRESENT HOW MANY HOURS, X, SHE MUST WORK TO PLANT ALL 124 FLOWERS.Hint: Use your ROT strategyRepeater (+or-) One-timer (=) Total Write your equation in the space provided. Make sure you use the ROT strategy and don't forget to put your variable with the repeater.