Writing Equations Answers

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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?

A
22,500 = 2 p
Option A
B
2 (22,500) = p
Option B
C
22,500 = 2 p minus 8
Option C
D
2 (22,500) = p minus 8
Option D
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Which equation accurately represents this statement? Select three options.Negative 3 less than 4.9 times a number, x, is the same as 12.8.

A
Negative 3 minus 4.9 x = 12.8
Option A
B
4.9 x minus (negative 3) = 12.8
Option B
C
3 + 4.9 x = 12.8
Option C
D
(4.9 minus 3) x = 12.8
Option D
E
12.8 = 4.9 x + 3
Option E
3

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

Question illustration
A
Twice a number minus nine and two-tenths is the same as the number plus four-fifths.
B
Nine point two decreased by double a number is the same as the number added to four-fifths.
C
Nine point two less than twice a number is equal to the number added to four-fifths.
D
Two times the difference of a number and nine and two-tenths is equal to the number plus four-fifths.
E
Double a number decreased by nine and two-tenths is the same as the sum of four-fifths and the number.
4

Jimmy is selling used books at a yard sale. A customer buys 9 books at a cost of $0.75 each and pays with a $20.00 bill. Jimmy must determine c, the amount of change in dollars he should give the customer. Which equation represents c?

A
20 minus 0.75 c = 9
Option A
B
20 minus 0.75 = 9 c
Option B
C
0.75 (9) + c = 20
Option C
D
0.75 c + 9 = 20
Option D
5

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?

A
14.62 = d minus 4
Option A
B
14.62 = d divided by 4
Option B
C
14.62 minus 4 = d
Option C
D
14.62 divided by 4 = d
Option D
6

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.

Question illustration
A
Three dollars added to $0.50 is the same as $9.50.
B
Three dollars plus $0.50 times the number of miles is equal to nine dollars and fifty cents.
C
Three dollars more than the quotient of $0.50 and the number of miles is nine dollars and fifty cents.
D
The product of the number of miles and the sum of $3 and $0.50 is equal to $9.50.
E
The sum of three dollars and the product of 50 cents times the number of miles is nine dollars and fifty cents.
7

The amount Cami raised during last year’s charity walk, $45.50, is of the amount she raised this year. Which equation represents n, the number of dollars she raised this year?

Question illustration
A
45.50 (StartFraction 7 over 10 EndFraction) = n
Option A
B
45.50 = 0.7 n
Option B
C
45.50 + n = StartFraction 7 over 10 EndFraction
Option C
D
45.50 = 0.7 + n
Option D
8

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?

Question illustration
A
The variable a should be multiplied by 10 only, and then added to .
Option A
B
The variable a should be multiplied by only and then added to 10.
Option B
C
The variable a should be multiplied by 50, not by the sum of 10 and .
Option C
D
The variable a should be multiplied by and 50 and set equal to 10.
Option D
9

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

Question illustration
A
The difference of a number and z is the same as one and four-tenths.
B
A number subtracted from one and four-tenths is equal to six.
C
Six less than a number is the same as one and four-tenths.
D
Six decreased by a number is equal to one and four-tenths.
10

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

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

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