Writing Equations

Question 1

Which statements can be represented by this equation? Select three options.

Revolt · Accepted Answer

Twice a number minus nine and two-tenths is the same as the number plus four-fifths.; Nine point two less than twice a number is equal to the number added to four-fifths.; Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.

Question 2

A taxi driver wrote a formula to represent the mileage and fee for his last customer. He wrote the equation , where m represents the number of miles traveled.Which statement shows the meaning of the driver’s equation? Select two options.

Revolt · Accepted Answer

Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.; The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.

Question 3

Which shows one way the equation can be represented in words?

Revolt · Accepted Answer

Six less than a number is the same as one and four-tenths.

Question 4

Anita, Byron, Carlos, and Dominique buy a gift for their grandmother. They split the cost equally and each pay $14.62. Which equation represents d, the cost of the gift in dollars?

Revolt · Accepted Answer

14.62 = d divided by 4

Question 5

Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.” Javier writes the equation , where a is the tree’s age in years. His equation is not correct. What error did he make?

Revolt · Accepted Answer

The variable a should be multiplied by only and then added to 10.

Question 6

Yuri’s sister Karina is 12 years old. In the equation below, y represents Yuri’s age in years.Which statement accurately relates their ages?

Revolt · Accepted Answer

Karina is 2 years younger than triple Yuri’s age.

Question 7

Ms. Banerjee bought a car for $22,500. The amount she paid for her new car was twice the amount she paid for her previous car, which she bought 8 years ago. Which equation shows p, the price in dollars that she paid for her previous car?

Revolt · Accepted Answer

22,500 = 2 p

Question 8

Which bar diagram represents the equation 5x + 7.5 = 15?

Revolt · Accepted Answer

A bar diagram. The top box contains 15. The bottom boxes contain 5 x and 7.5.

Question 9

Which equation can be used to represent the statement?Half of a number minus seven is one and five-tenths.

Revolt · Accepted Answer

StartFraction x over 2 EndFraction minus 7 = 1.5

Question 10

Olympia ate lunch at a restaurant. The amount of her check was $6.89. She left $8.00 on the table, which included the amount she owed plus a tip for the waiter. Which equation shows t, the amount of her tip, in dollars?

Revolt · Accepted Answer

6.89 + t = 8.00

Writing Equations Answers

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