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 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 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 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.
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.
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The model that represents the equation -2−14=−16 is option C.
Which model represents the equation: −14−9=−23?(1 point)
Responses
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 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.
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 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.
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The model that represents the equation −14−9=−23 is option B.
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
negative 30 minus 7 equals negative 37
30+7=37
30 plus 7 equals 37
30−7=23
30 minus 7 equals 23
−30+7=−23
negative 30 plus 7 equals negative 23
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The equation that matches the model is 30−7=23.
Which model matches the equation: −17−9=−26?(1 point)
Responses
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.
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 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.
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The model that matches the equation −17−9=−26 is option D.
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 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.
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 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.
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The model that matches the equation 9−14=−5 is option A.
The correct model that represents the equation −2−14=−16 is the third option.
In this model, a number line is shown ranging from negative 20 to 20 in increments of 1, labeled in increments of 10.
-2 and -14 are both represented by closed circles, which are also labeled.
A curved arrow is drawn leftward from -2 to -14.
This model accurately represents the equation −2−14=−16 because it shows the starting point at -2, and a movement of 14 units to the left, which brings us to -16. The curved arrow visually represents this leftward movement.