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Unit 3a/b Study Guide: Integers DUE 11/05

Last updated 9 months ago

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1.

Select the following order pairs that are not part of the shaded region of 67.

(0, 3)

(3, 0)

(-3, 0)

(0, -3)

(0, 4)

(4, 0)

(4, 3)

(3, 4)

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2.

Select all the following statements that are true.

−4 < ∣−4∣

−∣2.3∣ > 1.8

−(−15) > ∣3∣

∣6∣ < 7

−0.9 < ∣−0.9∣

∣− 23∣ > 0.5

12 < − ∣−1∣

∣−10∣ > −(−(−8))

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3.

Represent each of the following statements as an expression then determine if it is a true or false statement.

The opposite of –8 is equal to the absolute value of –8. T or F?

The absolute value of –5 is less than the opposite of –5. T or F?

The opposite of the absolute value of –12 is further from 0 on a number line than the opposite of –12. T or F?

The opposite of 7 is the same distance from 0 on a number line as the absolute value of 7. T or F?

The absolute value of –4 is equal to the opposite of –4. T or F?

The opposite of 10 is the same distance from 0 on a number line as the absolute value of 10. T or F?

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4.

What points are within the shaded region?

(2, 1)

(-3, 2)

(0, 3)

(3, 0)

(-5, 0)

(4, -2)

(0, -2)

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5.

Match the correct statement to the correct point using the number line below.

null

The dolphin was 5 feet below the surface

Danny deposited $1

The opposite of point E

Jane bought ice cream that cost $2

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6.

Which Inequality below correctly compares the temperatures of Fairbanks to Fargo?

-22 < -38

-38 > 0

-22 > -38

-22 = -38

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7.

Which of the following cities is closest to freezing?

Fairbanks

Fargo

Miami

Winnipeg

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8.

Place the following cities in descending order by their temperatures! (Hint! draw a number line on your paper and label it with all the cities and corresponding temperatures)

-22°
65°
-38°
-11°
22°
55°

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9.

The coordinate plane below shows several different locations in Sally's hometown. Write a number sentence using absolute value to represent the distances between each location listed below (NO BUNNY HOPS ALLOWED).

null Animal Shelter to the Art Museum . The total distance is .

Police Station to City Hall . The total distance is .

Hospital to the Cemetery . The total distance is .

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10.

Noah, Livia, and Gavin are best buds. Using the coordinate plane, plot and label their locations and answer the following questions:

null Who has the greatest absolute value from Noah?

Compare Livia to Gavin’s locations as an inequality using absolute value.

Who has the most debt?

Josh said Los Angeles has a greater absolute value than Winnipeg because it’s a positive number.

Josh and Zion both think that Winnipeg is closest to zero because it’s 11 units away from zero.

Zion said Fairbanks and Miami are opposites because they are 22 units away from each other.

Josh and Zion think Fairbanks and Miami are the same distance from zero in different directions, which makes them opposites.

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14.

A rectangle was plotted on the coordinate plane below.

null What is the area?

What is the perimeter?

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15.

Plot and label the following points on the coordinate plane below and answer the questions below.

null What shape is formed by plotting the points?

What is the area?

What is the perimeter?