A student claims that $$\sqrt{75}$$ is closer to 9 than to 8. Is the student correct? Justify your answer by identifying the two consecutive natural numbers between which $$\sqrt{75}$$ lies and determining which is the better approximation.

Yes; $$\sqrt{75}$$ lies between 8 and 9, and 9 is the better approximation because $$9^2 = 81$$ is closer to 75 than $$8^2 = 64$$ .

No; $$\sqrt{75}$$ lies between 8 and 9, and 8 is the better approximation because $$8^2 = 64$$ is closer to 75 than $$9^2 = 81$$ .

No; $$\sqrt{75}$$ lies between 7 and 8, and 8 is the better approximation.

Yes; $$\sqrt{75}$$ lies between 9 and 10, and 9 is the better approximation.

A function is represented by the following table: | $$x$$ | $$y$$ | |-----|-----| | -3 | 5 | | -1 | 5 | | 2 | 5 | | 6 | 5 | A student says the domain and range are the same set. Is the student correct, and what are the domain and range?

No; the domain is $$\{-3, -1, 2, 6\}$$ and the range is $$\{5\}$$ .

Yes; both the domain and range are $$\{5\}$$ .

No; the domain is $$\{5\}$$ and the range is $$\{-3, -1, 2, 6\}$$ .

Yes; both the domain and range are $$\{-3, -1, 2, 5, 6\}$$ .

A student is asked to find two consecutive natural numbers between which $$\sqrt{320}$$ lies and to identify the better approximation. Which of the following correctly completes both tasks?

$$\sqrt{320}$$ lies between 17 and 18; 18 is the better approximation because $$18^2 = 324$$ is closer to 320 than $$17^2 = 289$$ .

$$\sqrt{320}$$ lies between 16 and 17; 17 is the better approximation because $$17^2 = 289$$ is closer to 320 than $$16^2 = 256$$ .

$$\sqrt{320}$$ lies between 17 and 18; 17 is the better approximation because $$17^2 = 289$$ is closer to 320 than $$18^2 = 324$$ .

$$\sqrt{320}$$ lies between 18 and 19; 18 is the better approximation.

Problem Solving

Authored by Ashley Karraro

Mathematics

8th Grade

VA covered

Used 16+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A store sells a jacket for $85. The sales tax rate is 6%. What is the total cost of the jacket after tax?

$89.10

$90.10

$91.00

$88.50

Tags

VA.8.CE.1b

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

6 and 7

7 and 8

5 and 6

8 and 9

Tags

VA.8.NS.1a

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A square-based pyramid has a base side length of 6 cm and four triangular faces, each with a slant height of 5 cm. What is the surface area of the pyramid?

Tags

VA.8.MG.2a

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

VA.8.PFA.2b

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

VA.8.MG.2d

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A restaurant bill comes to $64. The customer wants to leave a 15% tip. What is the amount of the tip?

$8.60

$9.60

$10.60

$7.60

Tags

VA.8.CE.1b

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

10 and 11

11 and 12

12 and 13

9 and 10

Tags

VA.8.NS.1a

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Problem Solving

A store sells a jacket for $85. The sales tax rate is 6%. What is the total cost of the jacket after tax?

A square-based pyramid has a base side length of 6 cm and four triangular faces, each with a slant height of 5 cm. What is the surface area of the pyramid?

A restaurant bill comes to $64. The customer wants to leave a 15% tip. What is the amount of the tip?

A square-based pyramid has a base side length of 8 ft and a height of 6 ft. What is the volume of the pyramid?

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