Title: Math 7 Write Two-Step Equations
Course: quiz duplicate error

Q: Write the sentence as an equation. Use x to represent any unknown number.

Four subtracted from a number is zero.
- x + 4 = 0 (incorrect)
- x – 4 = 0 (correct)
- 4 – x = 0 (Incorrect. That is x subtracted from 4.)
- \[\frac{x}{4}\] = 0 (Incorrect. That is x divided by 4.)
A: x – 4 = 0

Q: Write the sentence as an equation. Use x to represent any unknown number.

The product of 6.6 and a number is 102.
- 6.6 + x = 102 (incorrect)
- 6.6x = 102 (correct)
- 6.6 ∙ 102 = x (incorrect)
- 102x = 6.6 (incorrect)
A: 6.6x = 102

Q: Write the sentence as an equation. Use x to represent any unknown number.

Seven added to four times a number is 25.
- 4(x + 7) = 25 (incorrect)
- 4x = 7 + 25 (incorrect)
- 7x + 4 = 25 (incorrect)
- 4x + 7 = 25 (correct)
A: 4x + 7 = 25

Q: Write the sentence as an equation. Use x to represent any unknown number.

Seven subtracted from ten times a number is 143.
- 10(x – 7) = 143 (incorrect)
- 7 – 10x = 143 (incorrect)
- 10x – 7 = 143 (correct)
- 7(10 – x) = 143 (incorrect)
A: 10x – 7 = 143

Q: Jenalee has $10 to buy snacks for a party. After spending $4.79 for soda, she wants to buy peanuts costing $1.49 per pound. Write an equation to find how many pounds of peanuts, p, she can buy.
- 10 = 4.79 + 1.49p (Correct)
- 10 = 4.79p + 1.49 (This won't work. It multiplies the cost of the soda to the pounds of peanuts.)
- 10p - 4.79 = 1.49 (This won't work. $10 is the total cost, not the cost of the peanuts.)
A: 10 = 4.79 + 1.49p

Q: Jenalee has $10 to buy snacks for a party. After spending $4.79 for soda, she wants to buy peanuts costing $1.49 per pound. Solve. To the nearest tenth of a pound, how many pounds of peanuts can Jenalee buy?

(Definitely use a calculator for this one)
- 3.5 pounds (Correct)
- 9.9 pounds (You should subtract 4.79 from both sides first.)
- 7.8 pounds (Remember you undo multiplication by division.)
A: 3.5 pounds

Q: Your friend takes a job cleaning up a neighbor's yard. He asks you and two other friends to help. He divides the amount the neighbor pays equally among all the members of the group. If each of you got $25, how much did the neighbor pay for the job?

Write an equation for the amount, m, the neighbor paid.
- m/4 = 25 (Correct)
- 4m = 25 (This would multiply what the neighbor gave by 4.)
- m/3 = 25 (Make sure you count your friend as well.)
A: m/4 = 25

Q: Your friend takes a job cleaning up a neighbor's yard. He asks you and two other friends to help. He divides the amount the neighbor pays equally among all the members of the group. Solve. If each of you got $25, how much did the neighbor pay for the job?
- The neighbor paid $100. (Correct)
- The neighbor paid $75. (Weren't there 4 workers?)
- The neighbor paid $6.25. (Incorrect. Each of you received $25, so the full amount must be more than $25!)
A: The neighbor paid $100.

Q: Saydi is selling raffle tickets. She has already sold 20 tickets. She figures she can sell 5 tickets a day. How many more days will it take her to sell all 100 tickets? Write an equation for how many days, d, it will take.
- 20d + 5 = 100 (Incorrect. She isn't selling 20 tickets per day.)
- 20 + 5d = 100 (This will work. It shows the 20 tickets plus 5 tickets per day.)
- 100d + 20 = 5 (Incorrect. You wouldn't multiply days times the 100 tickets. That would be like selling 100 tickets per day.)
A: 20 + 5d = 100

Q: Saydi is selling raffle tickets. She has already sold 20 tickets. She figures she can sell 5 tickets a day. Solve. How many more days will it take her to sell all 100 tickets?
- It will take her 16 more days. (Correct.)
- It will take her 5 more days. (Incorrect. Check your equation.)
- It will take her 24 more days. (Incorrect. You should subtract the 20 tickets she already sold first.)
A: It will take her 16 more days.

Q: Taylor's Towing Company charges $34 to hook up your car and $2 per mile the car is towed. If he charged you $70, how many miles did he tow your car? Write an equation to find how many miles, m, you were towed.
- 2 + 34m = 70 (That won't work. You aren't being charged $34 per mile.)
- 2m + 34 = 70 (This equation will work. You were charged $2 per mile and a flat fee of $34.)
- 34 - 2m = 70 (Why subtract what you are being charged per mile?)
A: 2m + 34 = 70

Q: Taylor's Towing Company charges $34 to hook up your car and $2 per mile the car is towed. Solve. If he charged you $70, how many miles did he tow your car?
- You were towed 18 miles. (Correct.)
- You were towed 2 miles. (Incorrect. You didn't pay $34 a mile for the tow.)
- You were towed 52 miles. (Incorrect. The $34 is part of the $70 cost. You wouldn't add 34 and 70.)
A: You were towed 18 miles.

Q: Item | Calories
Apple juice, 1 ounce | 13
Graham cracker | 30

Mitchel wants to have a 100 calorie snack. If he eats 1 1/2 graham crackers, how many ounces of apple juice can he drink? Write an equation to find how many ounces, j, of apple juice Mitchel can drink.
- 1.5 + 30j = 100 (Incorrect. There are not 30 calories for each ounce of apple juice.)
- 13j + 1.5 = 100 (Incorrect. You need to calculate 30 calories for each graham cracker.)
- 13j + 1.5(30) = 100 (Correct.)
A: 13j + 1.5(30) = 100

Q: Item | Calories
Apple juice, 1 ounce | 13
Graham cracker | 30

Mitchel wants to have a 100 calorie snack. If he eats 1\[\frac{1}{2}\] graham crackers, how many ounces of apple juice can he drink? Solve.

(Hint: First multiply the 1\[\frac{1}{2}\] graham crackers by 30.)
- He may drink 3 ounces of apple juice. (Incorrect. Check your equation.)
- He may drink 715 ounces of apple juice. (Incorrect. That seems like too much juice...)
- He may drink 4 ounces of apple juice. (Correct.)
A: He may drink 4 ounces of apple juice.

Q: The gasoline tank of Ryan's car holds 14 gallons. The car uses 1/35 gallon of gasoline for every mile that Ryan drives. The car's fuel light comes on when there are 3 gallons of gasoline left in the tank. If he starts with a full tank, how many miles can Ryan drive before the fuel light comes on?

Write an equation to find the number of miles, m, Ryan can drive.
- 1/35 m + 3 = 14 (Correct.)
- 1/35 m - 3 = 14 (You wouldn't subtract the 3 gallons from the gallons you used.)
- 35m + 3 = 14 (This would be 35 gallons per mile. What a gas guzzler!)
- 3m + 1/35 = 14 (Incorrect. This would be 3 gallons per mile plus an additional 1/35 gallon.)
A: 1/35 m + 3 = 14

Q: The gasoline tank of Ryan's car holds 14 gallons. The car uses 1/35 gallon of gasoline for every mile that Ryan drives. The car's fuel light comes on when there are 3 gallons of gasoline left in the tank. If he starts with a full tank, how many miles can Ryan drive before the fuel light comes on? Solve.
- He can drive 385 miles (Correct.)
- He can drive 595 miles. (You wouldn't add the 3 gallons to the 14 gallon full tank.)
- He can drive 0.31 miles. (That doesn't make much sense. He would only get a few blocks away!)
- He can drive 4.7 miles (Incorrect. He is using 1/35 gallons per mile, not 3 gallons per mile.)
A: He can drive 385 miles

Eisenhower Junior High School made 1250 hot dogs to sell at the county fair as a fundraiser for new computers.They’re only going to sell them for two days.

On the first day, they sold 436 hot dogs. If they plan on selling for 8 hours on the second day, how many hot dogs per hour will they have to sell in order to sell the rest of their hot dogs?

Write an equation to solve this problem. Make sure to say what the variable represents.

Q: Solve your equation: How many hotdogs do they need to sell each hour that second day?

Make sure to put units on your answer.
A: 101.75 / 102
Partly right: 101 (75%)
Feedback ("102"): Good answer. It would be hard to sell part of a hotdog.
Feedback ("101"): They need to sell 101.75 hotdogs an hour. You should round up to 102 hotdogs.