Mario is x years old. In 7 years, he will be 19. Which equation can be used to determine Mario’s present age?(1 point) Answer truthfully, why are these answers true?
Responses
x − 19 = 7
x minus 19 equals 7
x + 19 = 7
x plus 19 equals 7
x − 7 = 19
x minus 7 equals 19
x + 7 = 19
x plus 7 equals 19
Maria has to spend 512 hours to finish her community service program in a community health clinic. Last week, she was able to spend 334 hours. Which equation can be used to determine the number of hours, h, that Maria still needs to spend to complete her service program?(1 point)
Responses
h + 334 = 512
h plus 3 and three-fourths equals 5 and one-half
h − 512 = 334
h minus 5 and one-half equals 3 and three-fourths
h − 334 = 512
h minus 3 and three-fourths equals 5 and one-half
h + 512 = 334
h plus 5 and one-half equals 3 and three-fourths
You have p dollars in your piggy bank. You spent $13.32 to buy a toy, leaving you with $25.70. Which equation should be used to determine the amount of money you had in your piggy bank before buying the toy? How much money was in the piggy bank?(1 point)
Responses
p − 25.70 = 13.32; there was $12.38 in the piggy bank.
p minus 25.70 equals 13.32 ; there was $12.38 in the piggy bank.
p + 13.32 = 25.70; there was $12.38 in the piggy bank.
p plus 13.32 equals 25.70 ; there was $12.38 in the piggy bank.
p + 25.70 = 13.32; there was –$12.38 in the piggy bank.
p plus 25.70 equals 13.32 ; there was –$12.38 in the piggy bank.
p − 13.32 = 25.70; ; there was $39.02 in the piggy bank.
p minus 13.32 equals 25.70 ; ; there was $39.02 in the piggy bank.
Krista and Alexa played balloon darts in a school fair. Krista popped 5 balloons and Alexa popped n balloons. Together, they popped a total of 13 balloons. Which equation can be used to determine the number of balloons Alexa popped? How many balloons did she pop?(1 point)
Responses
n − 5 = 13; Alexa popped 18 balloons.
n minus 5 equals 13 ; Alexa popped 18 balloons.
n − 13 = 5; Alexa popped 18 balloons.
n minus 13 equals 5 ; Alexa popped 18 balloons.
n + 5 = 13; Alexa popped 8 balloons.
n plus 5 equals 13 ; Alexa popped 8 balloons.
n + 13 = 5; Alexa popped 8 balloons.
n plus 13 equals 5 ; Alexa popped 8 balloons.
Due to excessive heat, the water level in a dam decreased by 8.8 meters last month. Now, the water level is 95.3 meters. Which equation represents the water level, w, of the dam last month? What was the water level last month?(1 point)
Responses
w + 8.8 = 95.3; the water level of the dam last month was 86.5 meters.
w plus 8.8 equals 95.3 ; the water level of the dam last month was 86.5 meters.
w + 95.3 = 8.8; the water level of the dam last month was 104.1 meters.
w plus 95.3 equals 8.8 ; the water level of the dam last month was 104.1 meters.
w − 95.3 = 8.8; the water level of the dam last month was 86.5 meters.
w minus 95.3 equals 8.8 ; the water level of the dam last month was 86.5 meters.
w − 8.8 = 95.3; the water level of the dam last month was 104.1 meters.
w minus 8.8 equals 95.3 ; the water level of the dam last month was 104.1 meters.
1. The equation that can be used to determine Mario's present age is x + 7 = 19. Mario's age in 7 years will be 19, so his present age can be determined by subtracting 7 from 19.
2. The equation that can be used to determine the number of hours Maria still needs to spend to complete her service program is h = 512 - 334. Maria needs to spend a total of 512 hours and she has already spent 334 hours, so the remaining hours can be found by subtracting 334 from 512.
3. The equation that should be used to determine the amount of money in the piggy bank before buying the toy is p + 13.32 = 25.70. The amount of money in the piggy bank before buying the toy can be determined by adding the price of the toy ($13.32) to the amount of money left after the purchase ($25.70).
4. The equation that can be used to determine the number of balloons Alexa popped is n + 5 = 13. The total number of popped balloons is the sum of Krista's popped balloons (5) and Alexa's popped balloons (n), which equals 13.
5. The equation that represents the water level of the dam last month is w = 95.3 - 8.8. The current water level (95.3) is the result of a decrease in water level by 8.8 meters, so the water level last month can be found by subtracting 8.8 from 95.3.
1. The correct equation to determine Mario's present age is:
x + 7 = 19
This equation is true because in 7 years, Mario will be 19, so to find his present age, we need to add 7 years to his age.
2. The correct equation to determine the number of hours, h, that Maria still needs to spend to complete her service program is:
h = 512 - 334
This equation is true because Maria needs to spend 512 hours in total, and she has already spent 334 hours. Therefore, to find the remaining hours she still needs to spend, we subtract 334 from 512.
3. The correct equation to determine the amount of money you had in the piggy bank before buying the toy is:
p = 13.32 + 25.70
This equation is true because you spent $13.32 on the toy, and after the purchase, you had $25.70 left in the piggy bank. To find the initial amount of money you had, we need to add the amount spent on the toy to the remaining balance.
4. The correct equation to determine the number of balloons Alexa popped is:
n = 13 - 5
This equation is true because Krista popped 5 balloons, and together they popped a total of 13 balloons. To find the number of balloons Alexa popped, we need to subtract the number of balloons Krista popped from the total number of balloons popped.
5. The correct equation to represent the water level, w, of the dam last month is:
w = 95.3 - 8.8
This equation is true because the water level decreased by 8.8 meters last month, and the current water level is 95.3 meters. To find the water level last month, we need to subtract the decrease in water level from the current water level.
For the first question, let's solve it step by step:
We are given that in 7 years, Mario will be 19 years old. Let's represent Mario's present age as x.
So, Mario's age in 7 years will be x + 7.
And we know that in 7 years, Mario will be 19 years old, so we can write the equation as:
x + 7 = 19
This equation can be used to determine Mario's present age.
Now, let's go to the second question:
Maria has to spend 512 hours to complete her community service program. Last week, she spent 334 hours. Let's represent the number of hours she still needs to complete as h.
So, the total number of hours Maria needs to spend to complete her service program is:
334 + h
And we know that the total number of hours she needs to spend is 512. So we can write the equation as:
334 + h = 512
This equation can be used to determine the number of hours Maria still needs to spend.
Moving on to the third question:
You have p dollars in your piggy bank. You spent $13.32 to buy a toy, leaving you with $25.70. Let's represent the amount of money you had in your piggy bank before buying the toy as p.
So, the amount of money you had in your piggy bank before buying the toy is:
p + $13.32
And we know that after buying the toy, you have $25.70 left. So we can write the equation as:
p + $13.32 = $25.70
This equation can be used to determine the amount of money you had in your piggy bank and the solution to the equation will be the answer.
Now, let's move to the fourth question:
Krista popped 5 balloons and Alexa popped n balloons. Together, they popped a total of 13 balloons. Let's represent the number of balloons Alexa popped as n.
So, the total number of balloons popped is:
5 + n
And we know that the total number of balloons popped is 13. So we can write the equation as:
5 + n = 13
This equation can be used to determine the number of balloons Alexa popped.
Finally, let's solve the last question:
The water level in a dam decreased by 8.8 meters last month and the current water level is 95.3 meters. Let's represent the water level of the dam last month as w.
So, the water level of the dam last month can be represented as:
w + 8.8
And we know that the current water level is 95.3 meters. So we can write the equation as:
w + 8.8 = 95.3
This equation can be used to determine the water level of the dam last month.