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The average height of a boy in the United States, from birth through 60 months
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# Question : The average height of a boy in the United States, from birth through 60 months : 2151853

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Evaluate the expression or indicate that the root is not a real number.

1) √(4)

A) (1/4)

B) 2

C) 16

D) Not a real number

2) -√(529)

A) 23

B) -23

C) -264

D) Not a real number

3) √(-196)

A) 38,416

B) 14

C) (14/196)

D) Not a real number

4) √(16 + 9)

A) 7

B) 25

C) 5

D) √(7)

5) √(100 - 36)

A) √(28)

B) 8

C) 14

D) 64

6) √(64) + √(36)

A) 10

B) 14

C) 100

D) √(28)

Solve the equation by the square root property.

7) x2 = 64

A) {8}

B) {-9, 9}

C) {9}

D) {-8, 8}

8) x2 = 6

A) {-√(6), √(6)}

B) no real solution

C) {√(6)}

D) {-6, 6}

9) 7x2 = 252

A) {-6√(7), 6√(7)}

B) {-6, 6}

C) {0}

D) {-7, 7}

10) 3x2 = 33

A) {-11, 11}

B) {√(11)}

C) {12}

D) {-√(11), √(11)}

11) 6y2 + 3 = 1353

A) {-16, 16}

B) {-15, 15}

C) {16}

D) {15}

12) 289y2 = 25

A) {- (5/17), (5/17)}

B) {(5/17)}

C) {(5/289)}

D) {- (5/289), (5/289)}

13) 2z2 + 2 = 290

A) {-12, 12}

B) {13}

C) {-13, 13}

D) {12}

14) 5z2 - 35 = 0

A) {√(7)}

B) {- (√(7)/5), (√(7)/5)}

C) {-√(7), √(7)}

D) {- (√(35)/5), (√(35)/5)}

Evaluate the expression or indicate that the root is not a real number.

15) √((3)2)

A) (1/9)

B) 81

C) 3

D) Not a real number

16) √((-6)2)

A) 36

B) 6

C) -6

D) Not a real number

Use the product rule to simplify the expression.

17) √(112)

A) 10

B) 28

C) 4√(7)

D) 7√(4)

18) √(65)

A) 5√(13)

B) 13√(5)

C) 13

D) √(65)

19) √(12)

A) √(12)

B) 4√(3)

C) 6

D) 2√(3)

20) √(50x2)

A) 5√(2x)

B) 2x2√(5)

C) 50x

D) 5|x|√(2)

21) √(108x2)

A) 6x2√(3)

B) 6√(3)

C) 6√(3x2)

D) 6|x|√(3)

22) √(5x)√(25x)

A) 5|x|√(5)

B) 5√(5x2)

C) 5√(5x )

D) 5x2√(5)

23) √(15x2)√(105x)

A) 15|x|√(7x )

B) 15x2√(7x )

C) 15|x|√(7x2)

D) 15|x|√(7)

Solve the problem.

24) Racing cyclists use the algebraic expression 4√(x) to determine the maximum speed, in miles per hour, to turn a corner of radius x, in feet, without tipping over. Find the maximum speed at which a cyclist should travel around a corner of radius 38 feet without tipping over. Write the answer in simplified radical form.

A) 24 + √(2) miles per hour

B) 24√(2) miles per hour

C) (4(6 + √(2))/x) miles per hour

D) 4√(38) miles per hour

25) The formula v = √(2.5r) models the safe maximum speed, v, in miles per hour, at which a car can travel on a curved road with radius of curvature, r, in feet. A highway crew measures the radius of curvature at an exit ramp as 490 feet. What is the maximum safe speed?

A) 40 miles per hour

B) 32 miles per hour

C) 49 miles per hour

D) 35 miles per hour

26) The formula v = √(20L) can be used to estimate the speed of a car, v, in miles per hour, based on the length, L, in feet, of its skid marks upon sudden braking on a dry asphalt road. If a car is involved in an accident and its skid marks measure 151.25 feet, at what estimated speed was the car traveling when it applied its brakes just prior to the accident?

A) 55 miles per hour

B) 50 miles per hour

C) 60 miles per hour

D) 65 miles per hour

27) The average height of a boy in the United States, from birth through 60 months, can be modeled by y = 2.9√(x) + 20.1 where y is the average height, in inches, of boys who are x months of age. What would be the expected difference in height between a child 49 months of age and a child 25 months of age?

A) 46 inches

B) 5.8 inches

C) 20.3 inches

D) 7.8 inches

## Solution 5 (1 Ratings )

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