Title: Writing Expressions and Equations
Course: quiz duplicate error

Q: John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. How much did each drink cost? Write an equation to model this situation.
- 3d + $14.00 – $7.00 = $12.10
- 2d + $14.00 – $7.00 = $12.10
- 3d – $14.00 + $7.00 = $12.10
- 3d + $14.00 + $7.00 = $12.10
A: 3d + $14.00 – $7.00 = $12.10

Q: Translate the phrase to an algebraic expression.

Seven multiplied by x
- 7x (correct)
- 7 + x (incorrect)
- [Image] (incorrect)
- 7 - x (incorrect)
A: 7x

Q: Translate the phrase to an algebraic expression.

Three times x
- 3 - x (incorrect)
- [Image] (incorrect)
- 3x (correct)
- 3 + x (incorrect)
A: 3x

Q: Translate the phrase to an algebraic expression.

The quotient of x divided by seven
- [Image] (correct)
- 7 - x (incorrect)
- 7x (incorrect)
- 7 + x (incorrect)
A: [Image]

Q: Translate the phrase to an algebraic expression.

Four divided by x
- 4 + x (incorrect)
- 4 - x (incorrect)
- 4x (incorrect)
- [Image] (correct)
A: [Image]

Q: Translate the phrase to an algebraic expression.

x subtracted from y
- [Image] (incorrect)
- y - x (correct)
- x - y (incorrect)
- [Image] (incorrect)
A: y - x

Q: Translate to an algebraic expression.

Alex had x dollars before spending $20.50 for a book. How much did he have after the purchase?
- $20.50 + x (incorrect)
- x - $20.50 (correct)
- $20.50 - x (incorrect)
- $20.50x (incorrect)
A: x - $20.50

Q: Translate the phrase to an algebraic expression.

Twice x
- 3 + x (incorrect)
- 2x (correct)
- 2 + x (incorrect)
- 3x (incorrect)
A: 2x

Q: Translate to an algebraic expression.

Leanne had $10 remaining after paying y dollars for a dinner and a movie. How much did she have at the start of the evening?
- y - $10 (incorrect)
- $10y (incorrect)
- $10 + y (correct)
- $10 - y (incorrect)
A: $10 + y

Q: Write the phrase as an algebraic expression. Let x represent the unknown number.

Eighteen more than a number
- [Image] (incorrect)
- x + 18 (correct)
- 18x (incorrect)
- x - 18 (incorrect)
A: x + 18

Q: Translate the phrase to an algebraic expression.

The sum of x and y
- x + y (correct)
- 2xy (incorrect)
- xy (incorrect)
- [Image] (incorrect)
A: x + y

Q: Translate the phrase to an algebraic expression.

Nine more than x
- 9 - x (incorrect)
- 9x (incorrect)
- x + 9 (correct)
- [Image] (incorrect)
A: x + 9

Q: Translate to an algebraic expression.

Monica had $35 before spending y dollars for a snack. How much money remains?
- $35 + y (incorrect)
- $35 - y (correct)
- $35y (incorrect)
- y - $35 (incorrect)
A: $35 - y

Q: Translate the phrase to an algebraic expression.

x increased by two
- x - 2 (incorrect)
- 2x (incorrect)
- 2 (incorrect)
- x + 2 (correct)
A: x + 2

Q: Translate the phrase to an algebraic expression.

Five less than x
- x - 5 (correct)
- 5 - x (incorrect)
- [Image] (incorrect)
- 5x (incorrect)
A: x - 5

Q: Translate to an algebraic expression.

Robbie drove his car at 70 mph for x hours. How many miles did he travel?
- [Image] (incorrect)
- 70 - x (incorrect)
- [Image] (incorrect)
- 70x (correct)
A: 70x

Q: Translate the indicated phrase.

The width of a rectangle is two less than the length. If the length is represented by b, then write an expression that describes the width.
- 2 + b (incorrect)
- 2b (incorrect)
- 2 - b (incorrect)
- b - 2 (correct)
A: b - 2

Q: Write the phrase as an algebraic expression. Let x represent the unknown number.

The quotient of a number and 17
- [Image] (correct)
- [Image] (incorrect)
- 17x (incorrect)
- x - 17 (incorrect)
A: [Image]

Q: Translate the indicated phrase.

The width of a rectangle is three-fourths of the length. If the length is represented by l, then write an expression that describes the width.
- [Image]l (incorrect)
- [Image] (incorrect)
- [Image]l (correct)
- [Image] (incorrect)
A: [Image]l

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

The difference of eleven and two is greater than six.
- 11 - 2 > 6 (correct)
- 2 - 11 < 6 (incorrect)
- 11 - 2 < 6 (incorrect)
- 2 - 11 > 6 (incorrect)
A: 11 - 2 > 6

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

The sum of 8 and a number is 67.
- 8 + x = 67 (correct)
- 8 = 67 + x (incorrect)
- 67 + 8 = x (incorrect)
- 8 - x = 67 (incorrect)
A: 8 + x = 67

Q: Write the phrase as an algebraic expression. Let x represent the unknown number.

Three times a number, increased by 46
- 3x - 46 (incorrect)
- 3x + 46 (correct)
- 3(x + 46) (incorrect)
- x + 46 (incorrect)
A: 3x + 46

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

One increased by two equals the quotient of fifteen and five.
- 1 + 2 = 5 ÷ 15 (incorrect)
- 1 + 2 = 15 ∙ 5 (incorrect)
- 1 + 2 = 15 - 5 (incorrect)
- 1 + 2 = 15 ÷ 5 (correct)
A: 1 + 2 = 15 ÷ 5

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

Seven subtracted from a number is zero.
- x + 7 = 0 (incorrect)
- x - 7 = 0 (correct)
- 7 - x = 0 (incorrect)
- [Image] = 0 (incorrect)
A: x - 7 = 0

Q: Translate the indicated phrase.

The diameter of a circle is twice the radius. If b represents the radius, then write an expression for the diameter.
- [Image]b (incorrect)
- b^2 (incorrect)
- [Image] (incorrect)
- 2b (correct)
A: 2b

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: Write the phrase as an algebraic expression. Let x represent the unknown number.

Twelve decreased by a number
- x + 12 (incorrect)
- [Image] (incorrect)
- 12 - x (correct)
- x - 12 (incorrect)
A: 12 - x

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

Four is not equal to six divided by two.
- 4 = 6 ÷ 2 (incorrect)
- 4 ≠ 6 (incorrect)
- 4 ≠ 6 ÷ 2 (correct)
- 4 ÷ 2 ≠ 6 (incorrect)
A: 4 ≠ 6 ÷ 2

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

4.5 times a number equals 11.
- 5.4 ∙ 11 = x (incorrect)
- 5.4 + x = 11 (incorrect)
- 11x = 4.5 (incorrect)
- 4.5x = 11 (correct)
A: 4.5x = 11

Q: Write the phrase as an algebraic expression. Let x represent the unknown number.

The ratio of a number and 5
- x - 5 (incorrect)
- x + 5 (incorrect)
- [Image] (correct)
- 5x (incorrect)
A: [Image]

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

The product of 9.5 and a number is 11.
- 5.9 + x = 11 (incorrect)
- 9.5x = 11 (correct)
- 5.9 ∙ 11 = x (incorrect)
- 11x = 9.5 (incorrect)
A: 9.5x = 11

Q: Write the phrase as an algebraic expression. Let x represent the unknown number.

Twice a number, decreased by 71
- 71 - 2x (incorrect)
- 2x - 71 (correct)
- 2x + 71 (incorrect)
- x - 71 (incorrect)
A: 2x - 71

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

Four subtracted from thirteen is equal to three squared.
- 13 - 4 = 3^2 (correct)
- 4 - 13 = 3^2 (incorrect)
- 4 - 13 = 2 ∙ 3 (incorrect)
- 13 - 4 = 2 ∙ 3 (incorrect)
A: 13 - 4 = 3^2

Q: Write the phrase as an algebraic expression. Let x represent the unknown number.

A number increased by 8
- 8x (incorrect)
- x -8 (incorrect)
- [Image] (incorrect)
- x + 8 (correct)
A: x + 8

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)
- (7 + 4)x = 25 (incorrect)
- 4x + 7 = 25 (correct)
A: 4x + 7 = 25

Q: Write the phrase as an algebraic expression. Let x represent the unknown number.

One subtracted from a number
- x + 1 (incorrect)
- [Image] (incorrect)
- 1 - x (incorrect)
- x - 1 (correct)
A: x - 1

Q: Translate the indicated phrase.

Kevin owns a total of 140 shares of stock split between two companies. If z represents the number of the higher-priced stock, then write an expression in terms of z for the number of shares of the lower price stock.
- 70 (incorrect)
- 140 - z (correct)
- 70 - [Image] (incorrect)
- z - 140 (incorrect)
A: 140 - z

Q: Marina has $12 more than Brandon. Represent how much money Marina has.
- b + 12
- b - 12
- 12 - b
- 12b
A: b + 12

Q: Conner is three times as old as Jackson. Represent Conner’s age.
- j + 3
- 3 - j
- 3j
- j ÷ 3
A: 3j

Q: Diane earned $23 less than Chris. Represent how much Diane earned.
- c + 23
- c – 23
- 23 – c
- 23c
A: c – 23

Q: Juan worked 8 hours for a certain amount of money per hour. Represent how much Juan earned.
- 8 + m
- 8 – m
- 8m
- 8 ÷ m
A: 8m

Q: Martin spent 2/3 of the money in his savings account on a new car. Represent the amount of money Martin spent on a new car.
- s + 2/3
- s – 2/3
- (2/3)s
- s ÷ 2/3
A: (2/3)s

Q: Brianne had $47 dollars. She spent $15 on a new necklace and some money on a bracelet. Represent the amount of money Brianne has now.
- 47 - 15
- 47 - 15 - b
- 47 - 15 + b
- 47 - b
A: 47 - 15 - b

Q: Carlos spent $8 on lunch, some money on a drink and $4 on ice cream. Represent how much money Carlos spent.
- 8 - d - 4
- 8 + d + 4
- 8 - (d + 4)
- 8(d + 4)
A: 8 + d + 4

Q: Nalini has $26 dollars less than Hugo. Represent the amount of money Nalini has.
- 26 + h
- 26 – h
- h – 26
- 26 ÷ h
A: h – 26

Q: Bruno ran four times as far as Milo. Represent the distance Bruno ran.
- 4 + m
- 4m
- m ÷ 4
- m – 4
A: 4m

Q: Christina earned $420. She spent some of her earnings on her phone bill and spent $100 on new clothes. Represent the amount of money Christina now has.
- 420 – (p + 100)
- 420 + (p + 100)
- 420 + 100p
- 420 + 100 – p
A: 420 – (p + 100)

Q: Heather spent ¼ of the money in her savings account on a new cell phone. Represent the amount of money Heather spent on the new cell phone.
- s + 1/4
- s – 1/4
- s ÷ 1/4
- s/4
A: s/4

Q: Miguel is 8 years older than Cristo. Represent Miguel’s age.
- c + 8
- c – 8
- 8 – c
- 8c
A: c + 8

Q: Camille has 4 bags of candy. Each bag has 3 snicker bars and some hard candy. Represent the amount of candy Camille has.
- 4(3 + h)
- 4 + 3 + h
- 4h + 3
- 3h + 4
A: 4(3 + h)

Q: For 5 days Lydia studied math for a certain amount of time and read for 15 minutes each day. Represent the total amount of time Lydia studied and read over the 5 day period.
- 5 + m + 15
- 5m + 15
- 5(m + 15)
- m + 5(15)
A: 5(m + 15)

Q: David divided the amount of words he needed to study into 5 days. Represent the number of words he studied each day.
- w + 5
- 5 – w
- w/5
- 5/w
A: w/5

Q: Mr. Banks had some $500. He gave an equal amount to each of his children. Represent how much money each child received.
- m – 500
- 500 – m
- m/500
- 500/m
A: 500/m

Q: A taxi driver charges a $5 flat fee and $0.20 for each mile. Represent the cost of a taxi ride.
- 5m + 0.20
- 20m + 5
- 5 + 0.20m
- (5 + 0.20)m
A: 5 + 0.20m

Q: Lauren 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: 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: Lauren 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 Lauren 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. 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: Katie 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: Katie 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

Will 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 Will 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

Will wants to have a 100 calorie snack. If he eats 1 1/2 graham crackers, how many ounces of apple juice can he drink? Solve.

(Hint: First multiply the 1 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 Garin's car holds 14 gallons. The car uses 1/35 gallon of gasoline for every mile that Garin 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 Garin drive before the fule light comes on?

Write an equation to find the number of miles, m, Garin 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 Garin's car holds 14 gallons. The car uses 1/35 gallon of gasoline for every mile that Garin 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 Garin drive before the fule 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

You bought three hamburgers with a $5 bill and received $0.53 change. What was the price of one hamburger?

a. Write what the variable is and what it represents

b. Write an equation for the situation

Q: You bought three hamburgers with a $5 bill and received $0.53 change. What was the price of one hamburger?

Solve.
- One hamburger cost $0.75
- One hamburger cost $1.23
- One hamburger cost $1.49
- One hamburger cost $2.20
A: One hamburger cost $1.49

Meilani's neighbor will pay her $14 to mow the lawn and $4 per hour to take care of the garden. If she mows the lawn, what is the least amount of hours she needs to work in the garden to earn $30?

a. Write what the variable is and what it represents

b. Write an equation for the situation

Q: Meilani's neighbor will pay her $14 to mow the lawn and $4 per hour to take care of the garden. If she mows the lawn, what is the least amount of hours she needs to work in the garden to earn $30? Solve.
- Meilani needs to work 2 hours in the garden.
- Meilani needs to work 3 hours in the garden.
- Meilani needs to work 4 hours in the garden.
- Meilani needs to work 5 hours in the garden.
A: Meilani needs to work 4 hours in the garden.

Q: John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $14.00. After using a $7.00 gift certificate, they spend a total of $12.10. What was the cost of each drink? Solve.
- $1.70
- $2.55
- $9.55
- $1.90
A: $1.70

Q: Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike? Write an equation for this situation.
- 565 = 30w - 65
- 565 = 30 - 65w (Incorrect. He doesn't need to pay his sister $65 each week.)
- 565 - 65 = 30w (Incorrect. This would mean he only needed to save $500, and he needs $565 + $65)
- 565w - 30w = 65 (Incorrect. It is not $565 for each week.)
A: 565 = 30w - 65

Q: Steven wants to buy a $565 bicycle. Steven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike? Solve.
- 25 weeks
- 19 weeks
- 22 weeks
- 21 weeks
A: 21 weeks

Q: A ticket agency sells tickets to a professional basketball game. The agency charges $32.50 for each ticket, a convenience charge of $3.30 for each ticket, and a processing fee of $5.90 for the entire order. The total charge for an order was $220.70. How many tickets were purchased? Write an equation for this situation.
- 32.50t + 3.30 + 5.90 = 220.70 (Incorrect. The convenience fee is charged for each ticket.)
- 32.50t + 3.30t + 5.90 = 220.70 (Great work!)
- 5.90t + 3.30t + 32.50 = 220.70 (Incorrect. The processing fee is only charged once, not for each ticket.)
- 5.90t + 3.30 + 32.50 = 220.70 (Incorrect. The processing fee is only charged once, not for each ticket.)
A: 32.50t + 3.30t + 5.90 = 220.70

Q: A ticket agency sells tickets to a professional basketball game. The agency charges $32.50 for each ticket, a convenience charge of $3.30 for each ticket, and a processing fee of $5.90 for the entire order. The total charge for an order was $220.70. How many tickets were purchased? Solve.
- 7 tickets (Incorrect.)
- 6 tickets (Excellent solving!)
- 27 tickets (Incorrect.)
- 220 tickets (Incorrect.)
A: 6 tickets

Q: Kira has twice as many necklaces as I have. Together we have a total of 15 necklaces. Write an equation to find how many necklaces, n,  I have.
- n + 2 = 15 (Incorrect. Does Kira only have 2 necklaces?)
- n + 2n = 15 (Correct. Great job!)
- 2n + 1 = 15 (Incorrect. Why did you add only 1 necklace?)
- n/2 + n = 15 (Incorrect. n should represent my necklaces, not Kira's.)
A: n + 2n = 15

Q: Kira has twice as many necklaces as I have. Together we have a total of 15 necklaces. Solve to find how many necklaces I have.
- I have 5 necklaces.
- I have 10 necklaces. (Incorrect. Do I have more necklaces than Kira?)
- I have 7 necklaces. (Incorrect. That would give Kira only 8 necklaces.)
- I have 3 necklaces. (Incorrect. Kira would then have 12 necklaces, which is four times the number I would have.)
A: I have 5 necklaces.