AnswersPre-Algebra BUnit Test

Estimating and Comparing Square Roots Answers

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The point plotted on the number line is .What is the approximate value of x?

Question illustration
A
4
B
9
C
17
D
20
2
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Hassan used the iterative process to locate on the number line. Which best describes Hassan’s estimation?

Question illustration
A
Hassan is correct because
Option A
B
Hassan is correct because the point is on the middle of the number line.
C
Hassan is incorrect because is less than 0.4.
Option C
D
Hassan is incorrect because the point should be located between 0.1 and 0.2.
3

The values and are plotted on the number line.What is the approximate difference in tenths between and ?

Question illustration
A
0.3
B
0.7
C
1.3
D
2.2
4

Which statements are true? Select the two correct answers.

A
The square root of a positive number greater than 1 is less than the number.
B
The square root of a positive number is always less than half of the number itself.
C
The square root of a positive number less than 1 is less than the number.
D
The square root of a perfect square is not a whole number.
E
The square root of a positive number less than 1 is between 0 and 1.
5

Which two numbers does lie between on a number line?

Question illustration
A
7.7 and 7.8
B
7.8 and 7.9
C
7.9 and 8.0
D
8.0 and 8.1
6

Which number is farthest from 2 on the number line?

A
StartRoot 2.1 EndRoot
Option A
B
StartRoot 2.4 EndRoot
Option B
C
StartRoot 2.5 EndRoot
Option C
D
StartRoot 2.9 EndRoot
Option D
7

Jana is ordering a list of numbers from least to greatest.Which statement can be used to create her list?

Question illustration
A
is less than because and the square root of a number less than 1 is less than the number itself.
Option A
B
is greater than because and the square root of a number greater than 1 is greater than the number itself.
Option B
C
is less than because and is between 6 and 8.
Option C
D
is greater than because is less than 1 and the square root of a number greater than 1 is greater than 1.
Option D
8

Which point best approximates ?

Question illustration
A
A
B
B
C
C
D
D
9

Four students provide the following approximations for .Anyah states that is between 0.44 and 0.45 because .Matthew states that is between 0 and 1 because .Rhoda states that is between 0.9 and 1.0 because .Ming states that is between 0.93 and 0.95 because .Which solution(s) are correct?

Question illustration
A
Anyah's only
B
Ming's only
C
Anyah’s, Matthew’s, and Rhoda’s
D
Matthew’s, Rhoda’s, and Ming’s
10

The values and are plotted on the number line.What is the approximate difference in tenths between and ?

Question illustration
A
0.2
B
0.4
C
1.5
D
1.7

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