1. If the absolute value of x is 5, what is the value of x?(1 point)
Responses
-25 or 25
-25 or 25
-5
-5
5
5
-5 or 5
53 answers
-5 or 5
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
II and III
II and III
I only
I only
I and III
I and III
II only
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
II and III
II and III
I only
I only
I and III
I and III
II only
III only
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.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
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.
Responses
Mariah lost ten pounds and then gained 6 pounds.
Mariah lost ten pounds and then gained 6 pounds.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
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.
Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.
4. On a number line, what is the distance between -67 and 14?(1 point)
Responses
-53
-53
53
53
-81
-81
81
81
Responses
-53
-53
53
53
-81
-81
81
81
81
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
$440
$440
$380
$380
$490
$490
$330
Responses
$440
$440
$380
$380
$490
$490
$330
$380
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)
Responses
Fall 4°
Fall 4°
Rise 4°
Rise 4°
Fall 10°
Fall 10°
Rise 6°
Responses
Fall 4°
Fall 4°
Rise 4°
Rise 4°
Fall 10°
Fall 10°
Rise 6°
Rise 4°
7. Simplify |-7| + |6|.(1 point)
Responses
-13
-13
-1
-1
13
13
1
Responses
-13
-13
-1
-1
13
13
1
13
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)
Responses
Drop 50 feet
Drop 50 feet
Climb 200 feet
Climb 200 feet
Drop 200 feet
Drop 200 feet
Climb 50 feet
Responses
Drop 50 feet
Drop 50 feet
Climb 200 feet
Climb 200 feet
Drop 200 feet
Drop 200 feet
Climb 50 feet
Drop 50 feet
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)
Responses
Together the boys cut three-fourths of the yard.
Together the boys cut three-fourths of the yard.
The boys cut exactly half of the yard.
The boys cut exactly half of the yard.
The boys cut almost the whole yard.
The boys cut almost the whole yard.
Together the boys didn’t even cut half of the yard.
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.
The boys cut exactly half of the yard.
The boys cut exactly half of the yard.
The boys cut almost the whole yard.
The boys cut almost the whole yard.
Together the boys didn’t even cut half of the yard.
Together the boys cut almost the whole yard.
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 2 1/4
chocolate cakes, 2 1/2
red velvet cakes, 3/4
of a carrot cake and 3 1/2
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, 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, add across the numerators and denominators: 1 fourth plus 1 half plus 3 fourths plus 1 half is equal to 6 over 12 . Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7 and 6 over 12 is equal to 7 and 1 half .
.
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.
.
chocolate cakes, 2 1/2
red velvet cakes, 3/4
of a carrot cake and 3 1/2
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, 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, add across the numerators and denominators: 1 fourth plus 1 half plus 3 fourths plus 1 half is equal to 6 over 12 . Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7 and 6 over 12 is equal to 7 and 1 half .
.
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: 1 fourth plus 1 half plus 3 fourths plus 1 half is equal to 6 over 12 . Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7 and 6 over 12 is equal to 7 and 1 half .
First, add across the numerators and denominators: 1 fourth plus 1 half plus 3 fourths plus 1 half is equal to 6 over 12 . Next, add whole numbers: 2 + 2 + 3 = 7. Then combine, 7 and 6 over 12 is equal to 7 and 1 half .
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 point)
Responses
5 eighths
3 eighths
3 fourths
1 half
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 point)
Responses
5 eighths
3 eighths
3 fourths
1 half
3/8+1/4=3/8+2/8=5/8
The yellow part of the blanket is represented by the fraction 5/8.
The yellow part of the blanket is represented by the fraction 5/8.
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)
of the cake, and her friends ate 23
of the cake. How much of the cake was left?(1 point)
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, which is represented by the fraction 1.
1 - 1/4 - 2/3 = (3/3) - (1/4) - (2/3)
To subtract these fractions, we need to find a common denominator.
The common denominator of 4 and 3 is 12.
(9/9) - (3/12) - (8/12) = 9/9 - 11/12 = (9/9) - (11/12) = (108/108) - (99/108)
By subtracting the numerators, we get:
9 - 11 = -2
So, there is -2/108 or -1/54 of the cake left.
Since it doesn't make sense to have a negative amount of cake left, we can conclude that the cake was completely eaten, and there is no cake left.
1 - 1/4 - 2/3 = (3/3) - (1/4) - (2/3)
To subtract these fractions, we need to find a common denominator.
The common denominator of 4 and 3 is 12.
(9/9) - (3/12) - (8/12) = 9/9 - 11/12 = (9/9) - (11/12) = (108/108) - (99/108)
By subtracting the numerators, we get:
9 - 11 = -2
So, there is -2/108 or -1/54 of the cake left.
Since it doesn't make sense to have a negative amount of cake left, we can conclude that the cake was completely eaten, and there is no cake left.
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
1 half
1 over 12
5 sixths
3 fourths
of the cake, and her friends ate 2/3
of the cake. How much of the cake was left?(1 point)
Responses
1 half
1 over 12
5 sixths
3 fourths
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, which is represented by the fraction 1.
1 - 1/4 - 2/3 =
To subtract these fractions, we need to find a common denominator.
The common denominator of 4 and 3 is 12.
Thus, we can rewrite the equation as:
12/12 - 3/12 - 8/12 =
Simplifying the numerators, we get:
1 - 1/4 - 2/3 = 12/12 - 3/12 - 8/12 =
Combining the fractions, we get:
1 - 1/4 - 2/3 = (12 - 3 - 8)/12 = 1/12
So, 1/12 of the cake is left.
1 - 1/4 - 2/3 =
To subtract these fractions, we need to find a common denominator.
The common denominator of 4 and 3 is 12.
Thus, we can rewrite the equation as:
12/12 - 3/12 - 8/12 =
Simplifying the numerators, we get:
1 - 1/4 - 2/3 = 12/12 - 3/12 - 8/12 =
Combining the fractions, we get:
1 - 1/4 - 2/3 = (12 - 3 - 8)/12 = 1/12
So, 1/12 of the cake is left.
13.
−84−(−45)=
(1 point)
Responses
-39
-39
39
39
-129
-129
-49
−84−(−45)=
(1 point)
Responses
-39
-39
39
39
-129
-129
-49
-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
21
21
-53
-53
53
53
-21
Responses
21
21
-53
-53
53
53
-21
The distance from the basement floor to the roof can be calculated by subtracting the elevation of the basement floor from the elevation of the roof.
37 - (-16) = 37 + 16 = 53
Therefore, the distance from the basement floor to the roof is 53 feet.
37 - (-16) = 37 + 16 = 53
Therefore, the distance from the basement floor to the roof is 53 feet.
15.
−8.5−(−3.7)=
(1 point)
Responses
12.2
12.2
-4.8
-4.8
4.8
4.8
-12.2
−8.5−(−3.7)=
(1 point)
Responses
12.2
12.2
-4.8
-4.8
4.8
4.8
-12.2
-8.5 - (-3.7) = -8.5 + 3.7 = -4.8
Therefore, -8.5 - (-3.7) equals -4.8.
Therefore, -8.5 - (-3.7) equals -4.8.
16.
25−(−80)=
(1 point)
Responses
-55
-55
115
115
565
565
105
25−(−80)=
(1 point)
Responses
-55
-55
115
115
565
565
105
25 - (-80) = 25 + 80 = 105
Therefore, 25 - (-80) equals 105.
Therefore, 25 - (-80) equals 105.
17.
−18.5−17.5
(1 point)
Responses
1
1
36
36
-1
-1
-36
−18.5−17.5
(1 point)
Responses
1
1
36
36
-1
-1
-36
-18.5 - 17.5 = -36
Therefore, -18.5 - 17.5 equals -36.
Therefore, -18.5 - 17.5 equals -36.
18. What is the change in temperature between −20°F and 30°F?(1 point)
Responses
50 °F
50 °F
10 °F
10 °F
-10 °F
-10 °F
-50 °F
Responses
50 °F
50 °F
10 °F
10 °F
-10 °F
-10 °F
-50 °F
To find the change in temperature, we need to subtract the initial temperature from the final temperature.
30°F - (-20°F) = 30°F + 20°F = 50°F
Therefore, the change in temperature between -20°F and 30°F is 50°F.
30°F - (-20°F) = 30°F + 20°F = 50°F
Therefore, the change in temperature between -20°F and 30°F is 50°F.
19. The temperature was −5°F this morning. If the temperature dropped 8°F, what is the temperature now?(1 point)
Responses
-13 °F
-13 °F
3 °F
3 °F
-3 °F
-3 °F
13 °F
Responses
-13 °F
-13 °F
3 °F
3 °F
-3 °F
-3 °F
13 °F
To find the temperature now, we need to subtract the drop in temperature from the initial temperature.
-5°F - 8°F = -13°F
Therefore, the temperature now is -13°F.
-5°F - 8°F = -13°F
Therefore, the temperature now is -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
450
450
-850
-850
850
850
-450
Responses
450
450
-850
-850
850
850
-450
The new position of the submarine can be found by adding the change in position (ascend) to the current position.
650 feet - 200 feet = 450 feet
Therefore, the new position of the submarine is 450 feet below sea level.
The integer that represents its new position is -450.
650 feet - 200 feet = 450 feet
Therefore, the new position of the submarine is 450 feet below sea level.
The integer that represents its new position is -450.
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)
Responses
-43 feet
-43 feet
-205 feet
-205 feet
205 feet
205 feet
43 feet
Responses
-43 feet
-43 feet
-205 feet
-205 feet
205 feet
205 feet
43 feet
To find the distance between the elevations, we need to subtract the depth of the rock sinking from the height of the bridge.
124 feet - 81 feet = 43 feet
Therefore, the distance between the elevations is 43 feet.
The correct response is 43 feet.
124 feet - 81 feet = 43 feet
Therefore, the distance between the elevations is 43 feet.
The correct response is 43 feet.
23.
17 + (−32)=
(1 point)
Responses
49
49
-49
-49
-15
-15
15
17 + (−32)=
(1 point)
Responses
49
49
-49
-49
-15
-15
15
17 + (-32) = -15
Therefore, 17 + (-32) equals -15.
Therefore, 17 + (-32) equals -15.
24.
−14.15+(−3.78)−(−5.78)−3.4
(1 point)
Responses
-19.55
-19.55
1.19
1.19
-27.11
-27.11
-15.55
−14.15+(−3.78)−(−5.78)−3.4
(1 point)
Responses
-19.55
-19.55
1.19
1.19
-27.11
-27.11
-15.55
-14.15 + (-3.78) - (-5.78) - 3.4 = -14.15 - 3.78 + 5.78 - 3.4
Simplifying the addition and subtraction, we get:
-17.93 + 5.38 - 3.4 = -12.55
Therefore, -14.15 + (-3.78) - (-5.78) - 3.4 equals -12.55.
Simplifying the addition and subtraction, we get:
-17.93 + 5.38 - 3.4 = -12.55
Therefore, -14.15 + (-3.78) - (-5.78) - 3.4 equals -12.55.
-12.55 isnt an answer
Apologies for the error. Let's reevaluate the expression:
-14.15 + (-3.78) - (-5.78) - 3.4
Simplifying the double negation:
-14.15 + (-3.78) + 5.78 - 3.4
Adding and subtracting the terms:
-14.15 + 5.78 - 3.78 - 3.4 = -11.37 - 7.18
Calculating the result:
-11.37 - 7.18 = -18.55
Therefore, -14.15 + (-3.78) - (-5.78) - 3.4 equals -18.55.
-14.15 + (-3.78) - (-5.78) - 3.4
Simplifying the double negation:
-14.15 + (-3.78) + 5.78 - 3.4
Adding and subtracting the terms:
-14.15 + 5.78 - 3.78 - 3.4 = -11.37 - 7.18
Calculating the result:
-11.37 - 7.18 = -18.55
Therefore, -14.15 + (-3.78) - (-5.78) - 3.4 equals -18.55.
-18.55 isnt an answer either
Apologies for the error once again. Let's reevaluate the expression:
-14.15 + (-3.78) - (-5.78) - 3.4
Simplifying the double negation:
-14.15 + (-3.78) + 5.78 - 3.4
Adding and subtracting the terms:
-14.15 + 5.78 - 3.78 - 3.4 = -8.37 - 7.18
Calculating the result:
-8.37 - 7.18 = -15.55
Therefore, -14.15 + (-3.78) - (-5.78) - 3.4 equals -15.55.
-14.15 + (-3.78) - (-5.78) - 3.4
Simplifying the double negation:
-14.15 + (-3.78) + 5.78 - 3.4
Adding and subtracting the terms:
-14.15 + 5.78 - 3.78 - 3.4 = -8.37 - 7.18
Calculating the result:
-8.37 - 7.18 = -15.55
Therefore, -14.15 + (-3.78) - (-5.78) - 3.4 equals -15.55.
25.
48÷((2+6)×2)−1=
Hint: Use the order of operations (PEMDAS).
(1 point)
Responses
2
2
3.2
3.2
-12
-12
11
11
48÷((2+6)×2)−1=
Hint: Use the order of operations (PEMDAS).
(1 point)
Responses
2
2
3.2
3.2
-12
-12
11
11
To solve this expression, we need to follow the order of operations (PEMDAS). First, we evaluate the parentheses, then perform the multiplication and division from left to right, and finally, perform the subtraction.
48 ÷ ((2 + 6) × 2) - 1 = 48 ÷ (8 × 2) - 1
Next, we perform the multiplication:
48 ÷ (16) - 1
Then, we perform the division:
3 - 1
Finally, we perform the subtraction:
3 - 1 = 2
Therefore, 48 ÷ ((2 + 6) × 2) - 1 equals 2.
48 ÷ ((2 + 6) × 2) - 1 = 48 ÷ (8 × 2) - 1
Next, we perform the multiplication:
48 ÷ (16) - 1
Then, we perform the division:
3 - 1
Finally, we perform the subtraction:
3 - 1 = 2
Therefore, 48 ÷ ((2 + 6) × 2) - 1 equals 2.
1 answer