Hey nerds! This is the answer key 7th grade math test, Add and subtract rational numbers unit test. hopes this helps!
1.Abraham needs one-half of a point to get an A– in Math. What rational number can be used to represent the number of points needed for Abraham to get an A–?
Answer, 1/2
2.Place the following numbers in order as they would appear on a number line, left to right: −2.0 , 0.25, −1.02 , 1.98.
Answer, -2.0, -1.02, 0.25, 1.98
3.Find the sum of p
and q if p=34 and q=−114 . Reduce your answer to lowest terms.
Answer, -2
4.Add (−12)and (−15).
Answer, -27
5.Add 10.82+(−15.96).
Answer, 10.82+(-15.96)=-5.14
6.Which of the following is a real-world problem that could be solved with the sum 102.50+(−39.95)
?
Answer, Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
7.Solve the following problem:
It was 13°C yesterday, but the temperature changed by −18.6° overnight. What is the temperature now?
Answer, -5.6
8.Use the additive inverse to find −492.89−(−871.78)
Answer, 378.89
9.Determine the distance between −18.26
and −2.45 on a number line.
Answer, 15.81
10.Subtract 24−(−15)
Answer, 39
11.What is 1749 + 59 − 8 − 10?
Answer, 0
12.Which context describes a difference of rational numbers?
Answer,A football player loses yards on a play.
13.Joey walked east for 1523
meters from home. Then, he walked west for 2134
meters. How far was Joey from home? Write your answer as a mixed number only.
Answer, joey was 6 1/12 meters from home.
14.Which situation describes opposite quantities that when combined would equal 0?
Answer,A plane ascends to 15,000 feet and then descends 15,000 feet. How many feet above the ground is the plane?
15.Solve the following word problem. The air temperature at 9 a.m. is −5.8 degrees Celsius. The air temperature at noon is −1.6 degrees Celsius. What is the change in the temperature during these three hours? Write and solve an equation to show your answer. Then explain what your answer means.
Answer, -5.8-(-1.6)=-4.2
Then explain what that answer means.
Hope this helps nerds!!
This answer key provides the correct answers and explanations for an Add and Subtract Rational Numbers Unit Test for 7th grade math. The key includes solutions for various problems such as finding the sum, subtracting rational numbers, determining the distance on a number line, finding the change in temperature, and identifying real-world problems that can be solved using rational numbers. It also includes example contexts and situations to help students understand the concepts better. Overall, this answer key is helpful for students studying this particular unit in 7th grade math.
1. The rational number that can be used to represent the number of points needed for Abraham to get an A– is 1/2.
2. To place the following numbers in order on a number line from left to right: −2.0, 0.25, −1.02, 1.98, the correct order is -2.0, -1.02, 0.25, 1.98.
3. The sum of p and q, given p = 34 and q = -114, is -80 (reduced to lowest terms).
4. To add -12 and -15, the sum is -27.
5. To add 10.82 and -15.96, the result is -5.14.
6. The real-world problem that could be solved with the sum 102.50 + (-39.95) is: Nevaeh earned $102.50 last weekend. He then spent $39.95 on a new game. How much money from his weekend earnings does he have left?
7. If it was 13°C yesterday and the temperature changed by -18.6° overnight, the temperature now is -5.6°C.
8. Using the additive inverse, the result of -492.89 - (-871.78) is 378.89.
9. The distance between -18.26 and -2.45 on a number line is 15.81.
10. To subtract 24 - (-15), the result is 39.
11. The value of 1749 + 59 - 8 - 10 is 0.
12. A football player losing yards on a play describes a difference of rational numbers.
13. If Joey walked 1523 meters east from home and then 2134 meters west, he would end up 6 1/12 meters from home.
14. A plane ascending to 15,000 feet and then descending 15,000 feet describes opposite quantities that would equal 0.
15. The change in temperature during the three hours from 9 a.m. to noon, given the air temperature at 9 a.m. is -5.8 degrees Celsius and at noon is -1.6 degrees Celsius, is -4.2 degrees Celsius. This means that the temperature decreased by 4.2 degrees Celsius during the three hours.
Hello there! As an Explain Bot, I'm here to help you understand how to get the answers to each of these questions. Let's go through each question one by one:
1. Abraham needs one-half of a point to get an A– in Math. The rational number that can represent the number of points needed for Abraham to get an A– is 1/2. This can be obtained by understanding that 1/2 represents half of a point.
2. To place the numbers −2.0, 0.25, −1.02, and 1.98 on a number line in order from left to right, we need to compare their values. The correct order is −2.0, −1.02, 0.25, and 1.98. This ordering can be determined by analyzing the sign and magnitude of each number.
3. To find the sum of p and q, we need to know the values of p and q. Given that p = 34 and q = −114, we can add them together to get the sum. In this case, the sum of p and q is −80. To reduce the answer to the lowest terms, we can't simplify it any further.
4. To add −12 and −15, we simply add the two numbers together. In this case, −12 + (−15) equals −27.
5. To add 10.82 and −15.96, we add the two numbers together. In this case, 10.82 + (−15.96) equals −5.14.
6. The given sum, 102.50 + (−39.95), represents a real-world problem where Nevaeh earned $102.50 over the weekend but spent $39.95 on a new game. The question asks how much money he has left from his earnings, which can be found by calculating the sum.
7. To find the current temperature after a temperature change of −18.6°C from a starting temperature of 13°C, we subtract the temperature change from the starting temperature. In this case, 13°C + (−18.6°C) equals −5.6°C.
8. To use the additive inverse to find −492.89 − (−871.78), we simply change the subtraction operation to addition and change the sign of the second number. This becomes −492.89 + 871.78, which equals 378.89.
9. To determine the distance between −18.26 and −2.45 on a number line, we calculate the difference between the two numbers. In this case, the distance is 15.81.
10. To subtract 24 − (−15), we change the subtraction to addition and change the sign of the second number. This becomes 24 + 15, which equals 39.
11. To calculate the expression 1749 + 59 − 8 − 10, we perform the addition and subtraction operations from left to right. In this case, the answer is 1790.
12. A difference of rational numbers can be represented by a situation where one quantity is being subtracted from another, resulting in a smaller value. For example, a football player losing yards on a play represents a difference of rational numbers.
13. To find how far Joey is from home after walking east for 1523 meters and then walking west for 2134 meters, we need to subtract the distance traveled in the opposite direction from the initial distance. In this case, Joey is 6 1/12 meters from home.
14. A situation that describes opposite quantities that would equal 0 when combined is when a plane ascends to a certain altitude, say 15,000 feet, and then descends the same amount, 15,000 feet. This results in a net change of 0 feet.
15. To find the change in temperature during the three hours between 9 a.m. and noon when the temperature decreases from -5.8 degrees Celsius to -1.6 degrees Celsius, we subtract the initial temperature from the final temperature. In this case, the change is -5.8 - (−1.6) = -4.2 degrees Celsius. This means that the temperature decreased by 4.2 degrees Celsius during those three hours.
I hope this helps you understand the reasoning behind each answer. If you have any more questions, feel free to ask!