Question

Which expressions represent “3 times the sum of –6 and 2”? (Select all that apply.)


(-6 +2)3


3(-6) +2


3(-4)


3(-6) +4


3(-6 + 2)

Question at position 9
9

Multiple Choice
1 point



Question at position 9

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-8 = x


–4(2) = x


–4(–2) = x


x = –8

Question at position 10
10

Multiple Answer
1 point



Question at position 10

Which expressions simplify to a positive result? (Select all that apply.)


-3(-3)


7(-1)


(-2)(-5)


(-1)(1)

Question at position 11
11

Multiple Answer
1 point



Question at position 11

On a number line, adding
​ moves a point to the right and subtracting
moves it left. Which statements are true?


Adding
increases the value


Adding
​ decreases the value


Subtracting
​ decreases the value


Subtracting
increases the value

Question at position 12
12

Multiple Answer
1 point



Question at position 12

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A $84.68 loss shared equally among 4 partners


A $84.68 debt erased 4 times


A $84.68 profit shared equally among 4 partners


A $84.68 loss shared equally among –4 partners
Question at position 13
13

Multiple Answer
1 point



Question at position 13

Which points represent a number 2 less than –3?


-5


-1


-4 - 1


-3

Question at position 14
14

Multiple Answer
1 point




Question at position 14

A temperature begins at –5°F, rises 7°, then falls 8°. Which expressions correctly represent the final temperature?


−5+7−8




(−5+7)+(−8)


7−8−5

Question at position 15
15

Multiple Answer
1 point



Question at position 15

Which story problems could match the equation 3(–4) = –12? (Select all that apply.)


Earning $4 for 3 weeks


Borrowing $4 each week for 3 weeks


Losing 8 points each round for 3 rounds


Removing 4 plants from the garden 3 times

Question at position 16
16

Multiple Answer
1 point



Question at position 16

Which show correct integer operations? (Select all that apply.)


image.png


image.png


image.png


image.png

Question at position 17
17

Multiple Answer
1 point



Question at position 17

image.png


image.png


image.png


image.png


image.png

Question at position 18
18

Multiple Answer
1 point



Question at position 18

Which correctly show distributing a negative number? (Select all that apply.)


image.png


image.png


image.png

Question at position 19
19

Multiple Answer
1 point



Question at position 19

Which of the following represent adding a negative number? (Select all that apply.)


moving left on the number line


subtracting a positive number


Moving right and then right on the number line


moving right on the number line


decreasing the value

Answer 1

Here are the answers I can determine from the text you gave. A few items depend on images you referenced — I couldn’t see those, so I marked them and asked for the images.

1) Which expressions represent “3 times the sum of –6 and 2”? (Select all that apply.)
- (-6 + 2)3 — Yes
- 3(-6) + 2 — No
- 3(-4) — Yes
- 3(-6) + 4 — No
- 3(-6 + 2) — Yes

2) (Choices: -8 = x ; –4(2) = x ; –4(–2) = x ; x = –8)
- Select: -8 = x ; –4(2) = x ; x = –8
- Do NOT select: –4(–2) = x

3) Which expressions simplify to a positive result? (Select all that apply.)
- -3(-3) — Yes
- 7(-1) — No
- (-2)(-5) — Yes
- (-1)(1) — No

4) On a number line, adding ____ moves a point to the right and subtracting ____ moves it left. Which statements are true?
- All four statements given are true when the blanks are filled appropriately:
- Adding a positive number increases the value (true)
- Adding a negative number decreases the value (true)
- Subtracting a positive number decreases the value (true)
- Subtracting a negative number increases the value (true)

5) (About $84.68 and dividing among partners)
- The matching story is: "A $84.68 loss shared equally among 4 partners." (Choose that one only.)

6) Which points represent a number 2 less than –3?
- -5 — Yes
- -1 — No
- -4 - 1 — Yes (this equals -5)
- -3 — No

7) Temperature begins at –5°F, rises 7°, then falls 8°. Which expressions correctly represent the final temperature?
- −5 + 7 − 8 — Yes
- (−5 + 7) + (−8) — Yes
- 7 − 8 − 5 — Yes
(They all simplify to -6.)

8) Which story problems could match 3(–4) = –12? (Select all that apply.)
- Borrowing $4 each week for 3 weeks — Yes
- Removing 4 plants from the garden 3 times — Yes
- (Not: Earning $4 for 3 weeks; not: losing 8 points each round for 3 rounds)

9) Question(s) that use images for “Which show correct integer operations?” (position 16)
- I can’t see the images you referenced. Please upload or paste the images so I can answer.

10) More image-based items (position 17)
- I can’t see those images either — please upload them.

11) Which correctly show distributing a negative number? (image-based)
- I can’t see the images — please upload them.

12) Which of the following represent adding a negative number? (Select all that apply.)
- moving left on the number line — Yes
- subtracting a positive number — Yes
- Moving right and then right on the number line — No
- moving right on the number line — No
- decreasing the value — Yes

If you upload the screenshots or paste the missing image contents for the image-based questions (positions 16–18), I’ll finish those answers.