7th Grade Math

(Marvins-Underground-K-12) #1
= Step-by-Step Solutions begin on page R1.
Extra Practice begins on page EP2.

Example 1 Estimate each square root to the nearest whole number.


  1. √  11 8. √  20 9. √  35 10. √  65
    1111 √ 89 12. √  116 13. √  137 14. √  409

  2. MEASUREMENT The bottom of a square baking pan has an area of 67 square
    inches. What is the length of one side of the pan to the nearest whole
    number?

  3. ALGEBRA What whole number is closest to √m - n if m = 45 and n = 8?


Example 2 17. ARCHITECTURE The Parthenon in
Athens, Greece, contains the golden
rectangle proportion repeatedly.
The length of the longer side
divided by the length of the

shorter side is equal to 1 +^
√  5
_
2
.
Estimate the value of the ratio.


  1. BASEBALL In Little League, the field is a square with sides of 60 feet. The
    expression √ (s^2 + s^2 ) represents the distance across a square of side
    length s. Second base and home plate are in opposite corners across the
    field. Estimate the distance the catcher at home plate would have to
    throw the ball to reach the second baseman at second base.


Estimate each square root to the nearest whole number.

B 19. √  925 20. (^) √ 2,480 21. (^) √ 1,610 22. (^) √ 6,500
ALGEBRA Estimate each expression to the nearest whole number if a = 5,
b = 10, and c = 20.



  1. √ a + b 24. √  6 b - a 25. √ a^2 + b^2

  2. √ b^2 - a^2 27. √ 2(b + c) 28. √  3 abc


2929 STAMPS The Special Olympics commemorative stamp is square in shape
with an area of 1,008 square millimeters.
a. Find the length of one side of the postage stamp to the nearest
whole number.
b. What is the length of one side in centimeters? Round to the nearest
whole number.


  1. ALGEBRA The formula D = 1.23 × √h can be used to estimate the
    distance D in miles you can see from a point h feet above Earth’s surface.
    Use the formula to find the distance D in miles that you can see from the
    top of a 120-foot hill. Round to the nearest tenth.


Lesson 3C Square Roots 59

052-061_C1_L3_895130.indd 59 12/29/09 12:28 PM

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