The temperature in Antarctica at noon is 14°F. By 9:00PM, the temperature had dropped by 16.2 degrees. What was the temperature at 9:00PM?
Responses
A –2.2°F–2.2°F
B 2.2°F2.2°F
C –30.2°F–30.2°F
D 30.2°F
To find the temperature at 9:00PM, we need to subtract the decrease of 16.2 degrees from the temperature at noon.
14°F - 16.2°F = -2.2°F
Therefore, the temperature at 9:00PM was -2.2°F.
The correct response is A) -2.2°F.
Determine the value of the expression –5.45 + 4.12 –8.66.
Responses
A -9.99-9.99
B 18.2318.23
C –0.91–0.91
D –2.99
To find the value of the expression -5.45 + 4.12 - 8.66, we add the first two numbers and then subtract the last number.
(-5.45 + 4.12) - 8.66 = -1.33 - 8.66 = -9.99
Therefore, the value of the expression -5.45 + 4.12 - 8.66 is -9.99.
The correct response is A) -9.99.
Simplify.
7 2/3+−5 1/4
Responses
A -2-2
B 2 512
2 5 12
C 2 1112
2 11 12
D 12 1112
To simplify the expression 7 2/3 + -5 1/4, we need to convert the mixed numbers to improper fractions and then perform the addition.
7 2/3 = 21/3 + 2/3 = 23/3
-5 1/4 = -20/4 + 1/4 = -19/4
Now, we add the fractions:
23/3 + -19/4
To add these fractions, we need to find a common denominator, which is 12.
Multiplying the first fraction by 4/4 and the second fraction by 3/3:
(23/3) * (4/4) + (-19/4) * (3/3) = 92/12 - 57/12 = 35/12
The sum of 7 2/3 + -5 1/4 simplified is 35/12.
The response should be C) 2 11/12.
Simplify.
7.829 − 3.21
Responses
A 3.1273.127
B 4.2094.209
C 4.6194.619
D 11.039
To simplify the expression 7.829 - 3.21, subtract the two numbers.
7.829 - 3.21 = 4.619
Therefore, the simplified value is 4.619.
The response should be C) 4.619.
Consider this expression:
14
− 0.5 + 12
− 0.25 + 35
+ 0.4
Question 1
You are asked to find the sum by using fractions. Which expression could you use?
Responses
A 14
− 12
+ 12
− 14
+ 35
+ 25
1 4 − 1 2 + 1 2 − 1 4 + 3 5 + 2 5
B 14
− 14
+ 12
− 14
+ 35
+ 25
1 4 − 1 4 + 1 2 − 1 4 + 3 5 + 2 5
C 14
− 12
+ 12
− 14
+ 45
+ 25
1 4 − 1 2 + 1 2 − 1 4 + 4 5 + 2 5
D 14
− 12
− 12
− 14
+ 35
+ 25
To find the sum of the expression using fractions, we need to convert all the numbers to fractions and then perform the addition.
14 can be written as 14/1, 0.5 can be written as 1/2, 12 can be written as 12/1, 0.25 can be written as 1/4, and 35 can be written as 35/1.
The expression becomes:
14/1 - 1/2 + 12/1 - 1/4 + 35/1
To add these fractions, we need to find a common denominator, which is 4.
Multiplying each fraction to have a common denominator of 4:
(14/1) * (4/4) - (1/2) * (2/2) + (12/1) * (4/4) - (1/4) + (35/1) * (4/4) = 56/4 - 2/4 + 48/4 - 1/4 + 140/4
Now, we can add the fractions:
56/4 - 2/4 + 48/4 - 1/4 + 140/4 = 201/4
The expression can be simplified to 201/4.
The response should be C) 14 - 12 + 12 - 14 + 45 + 25.
Consider this expression:
14
− 0.5 + 12
− 0.25 + 35
+ 0.4
Find the sum.
Responses
A 00
B 11
C 112
1 1 2
D 12