If the absolute value of x is 5, what is the value of x?(1 point)
Responses
-25 or 25
-25 or 25
-5 or 5
-5 or 5
-5
-5
5
5
Question 2
2.
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.
(1 point)
Responses
I and III
I and III
I only
I only
II and III
II and III
II only
II only
Question 3
3. Which of these situations illustrates two quantities that combine to make 0?(1 point)
Responses
Mariah lost ten pounds and then gained 6 pounds.
Mariah lost ten pounds and then gained 6 pounds.
Marcus scores 900 points playing a video game and then loses over half of those points.
Marcus scores 900 points playing a video game and then loses over half of those points.
A business whose expenses are more than their profit.
A business whose expenses are more than their profit.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
49 answers
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.
Responses
Mariah lost ten pounds and then gained 6 pounds.
Mariah lost ten pounds and then gained 6 pounds.
Marcus scores 900 points playing a video game and then loses over half of those points.
Marcus scores 900 points playing a video game and then loses over half of those points.
A business whose expenses are more than their profit.
A business whose expenses are more than their profit.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
Starting balance: $650
Withdrawal: $350
Deposit: $100
Fee: -$20
Account balance = Starting balance - Withdrawal + Deposit - Fee
Account balance = $650 - $350 + $100 - $20
Account balance = $380
Therefore, Madison has $380 in her account.
Responses
-1
Responses
Positive distance: 125 + 135 = 260
Negative distance: -60
The overall change in distance is the sum of the positive and negative distances:
260 - 60 = 200
Therefore, the coaster needs to drop or climb a distance of 200 feet to be back at ground level.
of the grass and Aayush cut 13
of the grass.
Which statement is true?
(1 point)
Responses
Together the boys cut three-fourths of the yard.
Together the boys cut three-fourths of the yard.
Together the boys didn’t even cut half of the yard.
Together the boys didn’t even cut half of the yard.
The boys cut almost the whole yard.
The boys cut almost the whole yard.
The boys cut exactly half of the yard.
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)
Responses
First, change the fractions to make denominators common, and then add: 214+224+34+324=784
. Next, simplify: 784=9
.
First, change the fractions to make denominators common, and then add: 2 and 1 fourth plus 2 and 2 fourths plus 3 fourths plus 3 and 2 fourths is equal to 7 and 8 fourths . Next, simplify: 7 and 8 fourths is equal to 9 .
First, find the least common multiple and change only the denominators: 214+214+34+314=764
. Next, simplify: 764=812
.
First, find the least common multiple and change only the denominators: 2 and 1 fourth plus 2 and 1 fourth plus 3 fourths plus 3 and 1 fourth is equal to 7 and 6 fourths . Next, simplify: 7 and 6 fourths is equal to 8 and 1 half .
First, change the numerators to 3 to make them common, and then add: 234+232+34+334=71214
. Next, simplify: 71214=767
.
First, change the numerators to 3 to make them common, and then add: 2 and 3 fourths plus 2 and 3 halves plus 3 fourths plus 3 and 3 fourths is equal to 7 and 12 over 14. Next, simplify: 7 and 12 over 14 is equal to 7 and 6 sevenths .
First, add across the numerators and denominators: 14+12+34+12=612
. Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7612=712
.
The total number of cakes they sold is 772, and this can be calculated by adding up the slices of each type of cake.
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
Total parts of the blanket = Green parts + Blue parts + Yellow parts
Yellow parts = Total parts - Green parts - Blue parts
Yellow parts = 1 - (38 + 14)
Yellow parts = 1 - 52
Yellow parts = 1/52
Therefore, the fraction that represents the yellow part of the blanket is 1/52.
of the cake, and her friends ate 23
of the cake. How much of the cake was left?(
Total cake - Portion eaten by Aliyah's siblings - Portion eaten by Aliyah's friends
Let's assume the total cake was 1 whole.
Cake left = 1 - (14 + 23)
Cake left = 1 - 37
Cake left = -36
Since the result is a negative number, it implies that more cake was eaten than was initially available. It suggests that there is no cake left.
Now we can add the two numbers:
-84 + 45 = -39
Therefore, -84 - (-45) is equal to -39.
Responses
Distance = Roof elevation - Basement elevation
Distance = 37 ft - (-16 ft)
Distance = 37 ft + 16 ft
Distance = 53 ft
Therefore, the distance from the basement floor to the roof is 53 feet.
(1 point)
Responses
-4.8
-4.8
-12.2
-12.2
4.8
4.8
12.2
12.2
Question 4
16.
25−(−80)=
(1 point)
Responses
-55
-55
115
115
105
105
565
565
Question 5
17.
−18.5−17.5
(1 point)
Responses
36
36
-1
-1
-36
-36
1
-55
-36
Responses
Change in temperature = Final temperature - Initial temperature
Change in temperature = 30°F - (-20°F)
Change in temperature = 30°F + 20°F
Change in temperature = 50°F
Therefore, the change in temperature between -20°F and 30°F is 50°F.
Responses
Temperature now = Initial temperature - Temperature change
Temperature now = -5°F - 8°F
Temperature now = -13°F
Therefore, the temperature now is -13°F.
Responses
New position = Initial position + Distance ascended
New position = -650 ft + 200 ft
New position = -450 ft
Therefore, the integer that represents the submarine's new position is -450.
Responses
Distance between elevations = Bridge height - Distance rock sank
Distance between elevations = 124 ft - 81 ft
Distance between elevations = 43 ft
Therefore, the distance between the elevations is 43 feet.
Responses
-48
-48
-24
-24
48
48
24
24
Question 2
23.
17 + (−32)=
(1 point)
Responses
-15
-15
49
49
15
15
-49
The sum of 17 and -32 is -15.
-14.15 + (-3.78) - (-5.78) - 3.4 = -14.15 - 3.78 + 5.78 - 3.4
Now, we can perform the subtraction and addition:
-14.15 - 3.78 + 5.78 - 3.4 = -17.93 + 5.78 - 3.4
Next, we can perform the remaining subtraction and addition:
-17.93 + 5.78 - 3.4 = -12.15
Therefore, -14.15 + (-3.78) - (-5.78) - 3.4 simplifies to -12.15.
-14.15 + (-3.78) - (-5.78) - 3 = -14.15 - 3.78 + 5.78 - 3
Now, we can perform the subtraction and addition:
-14.15 - 3.78 + 5.78 - 3 = -17.93 + 5.78 - 3
Next, we can perform the remaining subtraction and addition:
-17.93 + 5.78 - 3 = -15.15
Therefore, -14.15 + (-3.78) - (-5.78) - 3 simplifies to -15.15.
Hint: Use the order of operations (PEMDAS).
First, we need to simplify the inner parentheses:
2 + 6 = 8
Now, we can simplify the expression further:
((2 + 6) × 2) = 8 × 2 = 16
Now, we can substitute the simplified expression back into the original expression:
8 ÷ ((2 + 6) × 2) - 1 = 8 ÷ 16 - 1
Next, we perform the division:
8 ÷ 16 = 0.5
Now, we can substitute the division result back into the expression:
0.5 - 1 = -0.5
Therefore, 8 ÷ ((2 + 6) × 2) - 1 simplifies to -0.5.
Hint: Use the order of operations (PEMDAS).
First, we need to simplify the inner parentheses:
2 + 6 = 8
Now, we can simplify the expression further:
((2 + 6) × 2) = 8 × 2 = 16
Now, we can substitute the simplified expression back into the original expression:
48 ÷ ((2 + 6) × 2) - 1 = 48 ÷ 16 - 1
Next, we perform the division:
48 ÷ 16 = 3
Now, we can substitute the division result back into the expression:
3 - 1 = 2
Therefore, 48 ÷ ((2 + 6) × 2) - 1 simplifies to 2.