11. Mrs. Taylor is crocheting a blanket for her daughter. She made 3/8
of the blanket green, 1/4
of the blanket blue, and the rest of the blanket was yellow. Which fraction represents the yellow part of the blanket?
1/2
3/4
5/8
3/8
To find out how much of the cake was left, we need to subtract the fractions eaten by Aliyah's siblings and friends from the whole cake.
If Aliyah's siblings ate 1/4 of the cake and her friends ate 2/3 of the cake:
1 - 1/4 - 2/3 = 12/12 - 3/12 - 8/12 = 1/12
Therefore, 1/12 of the cake was left.
Answer: 1/12
To solve this problem, we need to find the fraction that represents the yellow part of the blanket.
We know that Mrs. Taylor made 3/8 of the blanket green and 1/4 of the blanket blue.
To find the yellow part, we need to subtract the fractions of the blanket that are green and blue from 1 (because the fractions need to add up to the whole blanket).
1 - 3/8 - 1/4 = 8/8 - 3/8 - 2/8 = 3/8 (since 8/8 is the same as 1)
Therefore, the yellow part of the blanket is represented by the fraction 3/8.
Answer: 3/8
12. For Aliyah’s graduation party, her mom made her a chocolate cake. Her siblings ate 1/4
of the cake, and her friends ate 2/3
of the cake. How much of the cake was left?(1 point)
Responses
3/4
5/6
1/12
1/2
13.
−84−(−45)=
(1 point)
Responses
-49
-49
39
39
-129
-129
-39
To solve the expression −84−(−45), we need to subtract the negative value from -84.
When we subtract a negative number, it is the same as adding the positive value.
So, −84−(−45) is equivalent to -84 + 45.
-84 + 45 = -39.
Therefore, −84−(−45) equals -39.
Answer: -39
14. In the Manchester Building, the elevation of the basement floor is -16 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof? (Hint: Draw a picture or a number line.)(1 point)
Responses
53
53
-53
-53
-21
-21
21
To find the distance from the basement floor to the roof, we subtract the elevation of the basement floor from the elevation of the roof.
37 ft - (-16 ft) = 37 ft + 16 ft = 53 ft.
Therefore, the distance from the basement floor to the roof is 53 feet.
Answer: 53
−8.5−(−3.7)=
(1 point)
Responses
12.2
12.2
4.8
4.8
-4.8
-4.8
-12.2
To solve the expression −8.5−(−3.7), we need to subtract the negative value from -8.5.
When we subtract a negative number, it is the same as adding the positive value.
So, −8.5−(−3.7) is equivalent to -8.5 + 3.7.
-8.5 + 3.7 = -4.8.
Therefore, −8.5−(−3.7) equals -4.8.
Answer: -4.8
25−(−80)=
(1 point)
Responses
105
105
-55
-55
565
565
115
To solve the expression 25−(−80), we need to subtract the negative value from 25.
When we subtract a negative number, it is the same as adding the positive value.
So, 25−(−80) is equivalent to 25 + 80.
25 + 80 = 105.
Therefore, 25−(−80) equals 105.
Answer: 105
−18.5−17.5
(1 point)
Responses
-1
-1
36
36
-36
-36
1
To solve the expression −18.5−17.5, we need to subtract 17.5 from -18.5.
-18.5 - 17.5 = -36.
Therefore, −18.5−17.5 equals -36.
Answer: -36
. What is the change in temperature between −20°F and 30°F?(1 point)
Responses
10 °F
10 °F
-10 °F
-10 °F
50 °F
50 °F
-50 °F
QUESTION 2
19. The temperature was −5°F this morning. If the temperature dropped 8°F, what is the temperature now?(1 point)
Responses
-3 °F
-3 °F
13 °F
13 °F
3 °F
3 °F
-13 °F
To find the change in temperature between -20°F and 30°F, we subtract the initial temperature from the final temperature.
30°F - (-20°F) = 30°F + 20°F = 50°F.
Therefore, the change in temperature is 50°F.
Answer: 50°F
For the second question, if the temperature was -5°F and it dropped 8°F, we need to subtract 8°F from -5°F.
-5°F - 8°F = -13°F.
Therefore, the temperature now is -13°F.
Answer: -13°F.
20. A Navy submarine is 650 feet below sea level. If it ascends 200 feet, which integer represents its new position?(1 point)
Responses
-850
-850
-450
-450
850
850
450
QUESTION 2
John threw a rock into a lake from a bridge 124 feet above the river's surface. The rock sinks 81 feet below the river’s surface. What is the distance between the elevations? (Hint: Draw a picture or use a number line.)(1 point)
Responses
205 feet
205 feet
43 feet
43 feet
-43 feet
-43 feet
-205 feet
For the first question, the submarine starts at 650 feet below sea level and ascends 200 feet. To find the new position, we add 200 feet to 650 feet.
650 feet + 200 feet = 850 feet.
Therefore, the submarine's new position is 850 feet below sea level.
Answer: -850.
For the second question, the distance between the elevations is the difference between the height of the bridge (124 feet) and the depth the rock sinks (-81 feet).
124 feet - (-81 feet) = 124 feet + 81 feet = 205 feet.
Therefore, the distance between the elevations is 205 feet.
Answer: 205 feet.
22. Find the sum of -12 and -36.(1 point)
Responses
-48
-48
-24
-24
48
48
24
24
QUESTION 2
17 + (−32)=
-49
-49
49
49
-15
-15
15
15
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To find the sum of -12 and -36, we add the two numbers together:
-12 + (-36) = -48.
Therefore, the sum of -12 and -36 is -48.
Answer: -48.
For the second question, to find the sum of 17 and -32, we add the two numbers together:
17 + (-32) = -15.
Therefore, the sum of 17 and -32 is -15.
Answer: -15.
−14.15+(−3.78)−(−5.78)−3.4
1.19
1.19
-27.11
-27.11
-19.55
-19.55
-15.55
To solve the expression −14.15+(−3.78)−(−5.78)−3.4, we need to perform the operations in order.
First, we add -14.15 and -3.78:
-14.15 + (-3.78) = -17.93.
Next, we subtract -5.78 from -17.93:
-17.93 - (-5.78) = -17.93 + 5.78 = -12.15.
Finally, we subtract 3.4 from -12.15:
-12.15 - 3.4 = -15.55.
Therefore, the result of the expression is -15.55.
Answer: -15.55.
48÷((2+6)×2)−1=
Hint: Use the order of operations (PEMDAS).
(1 point)
Responses
-12
-12
2
2
3.2
3.2
11
To solve the expression 48÷((2+6)×2)−1, we need to follow the order of operations (PEMDAS).
First, we perform the addition inside the parentheses:
2+6 = 8.
Next, we perform the multiplication:
8×2 = 16.
Then, we perform the division:
48 ÷ 16 = 3.
Finally, we subtract 1:
3 - 1 = 2.
Therefore, the result of the expression is 2.
Answer: 2.