Question

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

Answer 1

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

Answer 2

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.

Answer 3

4. On a number line, what is the distance between -67 and 14?(1 point)
Responses

-53
-53

53
53

-81
-81

81
81

Answer 4

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

Answer 5

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°

Answer 6

7. Simplify |-7| + |6|.(1 point)
Responses

-13
-13

-1
-1

13
13

1

Answer 7

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

Answer 8

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.

Answer 9

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.
.

Answer 10

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

Answer 11

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)

Answer 12

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

Answer 13

13.

−84−(−45)=
(1 point)
Responses

-39
-39

39
39

-129
-129

-49

Answer 14

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

Answer 15

15.

−8.5−(−3.7)=
(1 point)
Responses

12.2
12.2

-4.8
-4.8

4.8
4.8

-12.2

Answer 16

16.

25−(−80)=
(1 point)
Responses

-55
-55

115
115

565
565

105

Answer 17

17.

−18.5−17.5
(1 point)
Responses

1
1

36
36

-1
-1

-36

Answer 18

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

Answer 19

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

Answer 20

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

Answer 21

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

Answer 22

23.

17 + (−32)=

(1 point)
Responses

49
49

-49
-49

-15
-15

15

Answer 23

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

Answer 24

-12.55 isnt an answer

Answer 25

-18.55 isnt an answer either

Answer 26

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

Answer 27

-5 or 5

Answer 28

III only

Answer 29

Sarah gets 10 dollars for her allowance and then spends 10 dollars at the movies.

Answer 30

81

Answer 31

$380

Answer 32

Rise 4°

Answer 33

13

Answer 34

Drop 50 feet

Answer 35

Together the boys cut almost the whole yard.

Answer 36

.
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 .

Answer 37

3/8+1/4=3/8+2/8=5/8

The yellow part of the blanket is represented by the fraction 5/8.

Answer 38

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.

Answer 39

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.

Answer 40

-39

Answer 41

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.

Answer 42

-8.5 - (-3.7) = -8.5 + 3.7 = -4.8

Therefore, -8.5 - (-3.7) equals -4.8.

Answer 43

25 - (-80) = 25 + 80 = 105

Therefore, 25 - (-80) equals 105.

Answer 44

-18.5 - 17.5 = -36

Therefore, -18.5 - 17.5 equals -36.

Answer 45

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.

Answer 46

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.

Answer 47

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.

Answer 48

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.

Answer 49

17 + (-32) = -15

Therefore, 17 + (-32) equals -15.

Answer 50

-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.

Answer 51

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.

Answer 52

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.

Answer 53

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.