1. If the absolute value of x is 5, what is the value of x?(1 point)The integer -20 would BEST represent which of these events?
I. You remove 20 lbs of peaches from a pile.
II. You fill a tub with 20 gallons of water.
III. You withdraw $20 from a bank account.
3. Which of these situations illustrates two quantities that combine to make 0?(1 point)
4. On a number line, what is the distance between -67 and 14?(1 point)5. Madison has $650 in her account. She makes a $350 withdrawal, deposits $100, and then gets charged a $20 fee. How much does she have in her account?(1 point)
Responses 6. On Friday morning the temperature was 67°F. The temperature dropped 6°F and then rose 10°F. How much does the temperature need to rise or fall to return to the initial temperature of 67°F?(1 point) Simplify |-7| + |6|.(1 point)
8. The Snake Eyes Roller Coaster climbs 125 feet from ground level then drops 60 feet before climbing another 135 feet. How far does the coaster need to drop or climb to be back at ground level? (Hint: Draw a picture or use a number line.)(1 point)9. Before it started to rain, Amnar cut 16
of the grass and Aayush cut 13
of the grass.
Which statement is true?
(1 point)
10. The Sweet Surprise Bake Shop sold slices of cake at the arts festival last weekend. Each cake was cut into eight slices. They sold 214
chocolate cakes, 212
red velvet cakes, 34
of a carrot cake and 312
sugar cream cakes.
Which statement tells the total number of cakes they sold and explains how the total can be calculated?
(1 point)
Responses11. Mrs. Taylor is crocheting a blanket for her daughter. She made 38
of the blanket green, 14
of the blanket blue, and the rest of the blanket was yellow. Which fraction represents the yellow part of the blanket?(1 point)
Responses
12. For Aliyah’s graduation party, her mom made her a chocolate cake. Her siblings ate 14
of the cake, and her friends ate 23
of the cake. How much of the cake was left?(1 point)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)18. What is the change in temperature between −20°F and 30°F?(1 point)19. The temperature was −5°F this morning. If the temperature dropped 8°F, what is the temperature now?(1 point)20. A Navy submarine is 650 feet below sea level. If it ascends 200 feet, which integer represents its new position?(1 point)21. 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)22. Find the sum of -12 and -36.(1 point)
1. If the absolute value of x is 5, the value of x can be either 5 or -5.
2. The integer -20 would best represent the event of withdrawing $20 from a bank account.
3. An example of two quantities that combine to make 0 is any pair of opposite numbers on the number line, such as -3 and 3 or -10 and 10.
4. The distance between -67 and 14 on a number line is 81 units.
5. After the transaction, Madison will have $380 in her account. (650 - 350 + 100 - 20 = 380)
6. The temperature needs to rise 16°F to return to the initial temperature of 67°F. (6 - 10 = -4, so it needs to increase by an additional 4°F)
7. The simplified expression |-7| + |6| is equal to 7 + 6, which is 13.
8. The roller coaster needs to drop 50 feet to be back at ground level. (125 - 60 + 135 = 200, so it needs to drop 200 ft)
9. The statement "Amnar cut more of the grass than Aayush" is true. (16 > 13)
10. The total number of cakes sold can be calculated by adding the individual quantities of each type: 214 + 212 + 34 + 312 = 772 cakes were sold in total.
11. The fraction that represents the yellow part of the blanket is 48/48 or 1 whole.
12. After Aliyah's siblings and friends ate, there is 7/12 of the cake left.
14. The distance from the basement floor to the roof is 53 feet. (-16 + 37 = 53)
18. The change in temperature between -20°F and 30°F is 50°F. (30 - (-20) = 50)
19. The temperature is now -13°F. (-5 - 8 = -13)
20. The integer that represents the submarine's new position is -450 feet. (-650 + 200 = -450)
21. The distance between the elevations is 205 feet. (124 - (-81) = 205)
22. The sum of -12 and -36 is -48. (-12 + (-36) = -48)
1. If the absolute value of x is 5, the value of x can be either 5 or -5.
2. The integer -20 would best represent the event of withdrawing $20 from a bank account (III).
3. Two quantities that combine to make 0 can be illustrated by the following situations:
- Depositing $30 and then withdrawing $30 from a bank account.
- Adding 7 to a number and then subtracting 7 from the same number.
4. On a number line, the distance between -67 and 14 is 81 units.
5. Madison has $280 in her account. (650 - 350 + 100 - 20 = 280)
6. To return to the initial temperature of 67°F, the temperature needs to rise by 16°F. (6 - 10 = -4, -4 + 16 = 12)
7. |-7| + |6| simplifies to 13.
8. The coaster needs to drop 50 feet to be back at ground level. (125 - 60 + (-135) = -70)
9. The statement that is true is: Aayush cut less grass than Amnar. (13/16 < 16/16)
10. The total number of cakes sold can be calculated by adding the number of each type of cake sold: 214 + 212 + 34 + 312 = 772 cakes.
11. The fraction that represents the yellow part of the blanket is 48/48. (38 + 14 + x = 48, x = 48 - 38 - 14 = 48 - 52 = -4, since negative fractions are not possible, the yellow part is 48/48)
12. The amount of cake left can be calculated by subtracting the sum of the fractions eaten from 1: 1 - (1/4 + 2/3) = 1 - (3/12 + 8/12) = 1 - 11/12 = 1/12 of the cake is left.
14. The distance from the basement floor to the roof is 53 feet. (-16 + 37 = 53)
18. The change in temperature between -20°F and 30°F is 50°F. (30 - (-20) = 30 + 20 = 50)
19. The temperature is now -13°F. (-5 - 8 = -13)
20. Its new position is 450 feet below sea level. (650 - 200 = 450)
21. The distance between the elevations is 205 feet. (124 + (-81) = 205)
22. The sum of -12 and -36 is -48. (-12 + (-36) = -48)