Question

Which model represents the equation: −2−14=−16?(1 point)

Responses

A number line with arrows at both the ends ranges from negative 10 to 20 in increments of 1, but labeled in increments of 10. A closed circle is placed on 12 and on negative 2, which is also labeled. A curved arrow is drawn leftward from 12 to negative 2.
Image with alt text: A number line with arrows at both the ends ranges from negative 10 to 20 in increments of 1, but labeled in increments of 10. A closed circle is placed on 12 and on negative 2, which is also labeled. A curved arrow is drawn leftward from 12 to negative 2.

A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on the negative 2 tick mark, which is also labeled, and on negative 16. A curved arrow is drawn leftward from negative 2 to negative 16.
Image with alt text: A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on the negative 2 tick mark, which is also labeled, and on negative 16. A curved arrow is drawn leftward from negative 2 to negative 16.

A number line with arrows at both the ends ranges from negative 10 to 20 in increments of 1, but labeled in increments of 10. A closed circle is placed on 16, which is also labeled, and on negative 2. A curved arrow is drawn rightward from negative 2 to 16.
Image with alt text: A number line with arrows at both the ends ranges from negative 10 to 20 in increments of 1, but labeled in increments of 10. A closed circle is placed on 16, which is also labeled, and on negative 2. A curved arrow is drawn rightward from negative 2 to 16.

A number line with arrows at both the ends ranges from negative 20 to 20 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 2 and on negative 14, which is also labeled. A curved arrow is drawn leftward from negative 2 to negative 14.
Image with alt text: A number line with arrows at both the ends ranges from negative 20 to 20 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 2 and on negative 14, which is also labeled. A curved arrow is drawn leftward from negative 2 to negative 14.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The model that represents the equation -2 - 14 = -16 is the third model described: A number line with arrows at both the ends ranges from negative 10 to 20 in increments of 1, but labeled in increments of 10. A closed circle is placed on 16, which is also labeled, and on negative 2. A curved arrow is drawn rightward from negative 2 to 16.

Answer 2

Which model represents the equation: −14−9=−23?(1 point)

Responses

A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 5 and on negative 14, which is also labeled. A curved arrow is drawn rightward from negative 14 to negative 5.
Image with alt text: A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 5 and on negative 14, which is also labeled. A curved arrow is drawn rightward from negative 14 to negative 5.

A number line with arrows at both the ends ranges from negative 40 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 14, which is also labeled, and on negative 37. A curved arrow is drawn leftward from negative 14 to negative 37.
Image with alt text: A number line with arrows at both the ends ranges from negative 40 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 14, which is also labeled, and on negative 37. A curved arrow is drawn leftward from negative 14 to negative 37.

A number line with arrows at both the ends ranges from negative 20 to 20 in increments of 1, but labeled in increments of 10. A closed circle is placed on 9 and on negative 14, which is also labeled. A curved arrow is drawn rightward from negative 14 to 9.
Image with alt text: A number line with arrows at both the ends ranges from negative 20 to 20 in increments of 1, but labeled in increments of 10. A closed circle is placed on 9 and on negative 14, which is also labeled. A curved arrow is drawn rightward from negative 14 to 9.

A number line with arrows at both the ends ranges from negative 30 to 10 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 14, which is also labeled, and on negative 23. A curved arrow is drawn leftward from negative 14 to negative 23.
Image with alt text: A number line with arrows at both the ends ranges from negative 30 to 10 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 14, which is also labeled, and on negative 23. A curved arrow is drawn leftward from negative 14 to negative 23.

Answer 3

[AI-generated answer — Bot GPT 3.5]

The model that represents the equation -14 - 9 = -23 is the fourth model described: A number line with arrows at both the ends ranges from negative 30 to 10 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 14, which is also labeled, and on negative 23. A curved arrow is drawn leftward from negative 14 to negative 23.

Answer 4

Use the image to answer the question.

An illustration shows a matrix of 6 columns by 5 rows of butterflies of similar sizes but different patterns. A few of the butterflies are crossed out with a large upper X. The butterflies that are crossed out are as follows: first row, first and fifth butterflies; second row: fourth butterfly; third row: third and sixth butterflies; fourth row: fifth butterfly, and fifth row: second butterfly.

Which equation matches the model?

(1 point)
Responses

−30−7=−37

−30+7=−23

30+7=37

30−7=23

Answer 5

[AI-generated answer — Bot GPT 3.5]

Based on the information given, the butterflies that are crossed out are subtracted or removed from the total number of butterflies. Therefore, the equation that matches the model is 30 - 7 = 23.

Answer 6

Question

Which model matches the equation: −17−9=−26?(1 point)
Responses

A number line with arrows at both the ends ranges from negative 20 to 10 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 8 and negative 17. A curved arrow is drawn rightward from negative 17 to negative 8.
Image with alt text: A number line with arrows at both the ends ranges from negative 20 to 10 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 8 and negative 17. A curved arrow is drawn rightward from negative 17 to negative 8.

A number line with arrows at both the ends ranges from negative 30 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 17 and negative 26. A curved arrow is drawn rightward from negative 26 to negative 17.
Image with alt text: A number line with arrows at both the ends ranges from negative 30 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 17 and negative 26. A curved arrow is drawn rightward from negative 26 to negative 17.

A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 8 and negative 17. A curved arrow is drawn leftward from negative 8 to negative 17.
Image with alt text: A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 8 and negative 17. A curved arrow is drawn leftward from negative 8 to negative 17.

A number line with arrows at both the ends ranges from negative 30 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 17 and negative 26. A curved arrow is drawn leftward from negative 17 to negative 26.
Image with alt text: A number line with arrows at both the ends ranges from negative 30 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 17 and negative 26. A curved arrow is drawn leftward from negative 17 to negative 26.

Answer 7

[AI-generated answer — Bot GPT 3.5]

The model that matches the equation -17 - 9 = -26 is the fourth model described: A number line with arrows at both the ends ranges from negative 30 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 17 and negative 26. A curved arrow is drawn leftward from negative 17 to negative 26.

Answer 8

Which model matches the equation: 9−14=−5?(1 point)

Responses

A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 9 and negative 14. A curved arrow is drawn leftward from negative 9 to negative 14 and is labeled as negative 5.
Image with alt text: A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 9 and negative 14. A curved arrow is drawn leftward from negative 9 to negative 14 and is labeled as negative 5.

A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 5 and negative 19. A curved arrow is drawn leftward from negative 5 to negative 19 and is labeled as negative 14.
Image with alt text: A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 5 and negative 19. A curved arrow is drawn leftward from negative 5 to negative 19 and is labeled as negative 14.

A number line with arrows at both the ends ranges from negative 10 to 10 in increments of 1, but labeled in increments of 10. A closed circle is placed on 9 and negative 5. A curved arrow is drawn leftward from 9 to negative 5 and is labeled as negative 14.
Image with alt text: A number line with arrows at both the ends ranges from negative 10 to 10 in increments of 1, but labeled in increments of 10. A closed circle is placed on 9 and negative 5. A curved arrow is drawn leftward from 9 to negative 5 and is labeled as negative 14.

A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 14 and negative 9. A curved arrow is drawn rightward from negative 14 to negative 9 and is labeled as positive 5.
Image with alt text: A number line with arrows at both the ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 14 and negative 9. A curved arrow is drawn rightward from negative 14 to negative 9 and is labeled as positive 5.

Answer 9

[AI-generated answer — Bot GPT 3.5]

The model that matches the equation 9 - 14 = -5 is the first model described: A number line with arrows at both ends ranges from negative 20 to 0 in increments of 1, but labeled in increments of 10. A closed circle is placed on negative 9 and negative 14. A curved arrow is drawn leftward from negative 9 to negative 14 and is labeled as negative 5.

Answer 10

[AI-generated answer — Explain Bot]

To determine which model represents the equation -2 - 14 = -16, we need to analyze the options provided.

In the equation, we subtract 14 from -2, resulting in -16. So, the model that shows a number line with a closed circle on -2 and another closed circle on -14, with a curved arrow drawn leftward from -2 to -14, is the correct representation.

Looking at the options given, we can see that option D matches this description. It shows a number line ranging from -20 to 20 in increments of 1, with closed circles on -2 and -14, and a curved arrow drawn leftward from -2 to -14.

Therefore, the correct answer is option D.