Question 1

Given the table shown, what is the equation of the square root function?

Accepted Answer

$y=3\sqrt{\ x-4}+2$

Answer

$y=3\sqrt{\ x+4}+2$

Answer

$y=2\sqrt{\ x+4}-2$

Answer

$y=2\sqrt{\ x-2}+4$

Question 2

A function for the speed (in meters per second) at which a long jumper was running is given by $s = 11\sqrt{\ h }$ where h is the maximum height that the jumper reaches.

What was the long jumper’s maximum height if he was running at a speed of 8.5 meters per second? Round your answer to the nearest tenth of a meter.

Accepted Answer

0.60 meters

Answer

1.54 meters

Answer

0.90 meters

Answer

32.07 meters

Question 3

Describe the transformation of the following function  $f(x) =\sqrt{\ x-1}+.5$

Accepted Answer

shift right 1 and up 0.5

Answer

shift left 1 and up 0.5

Answer

shift right 1 and compress by a factor of .5

Answer

shift right 1 and down .5

Question 4

The time it takes for an object dropped from a certain height to reach the ground can be modeled by the equation $t =\frac{1}{3}\sqrt{\ h}$  , where h is the height in meter above ground. If you are standing on the top of a building and it takes 4 seconds for a stone you drop to reach the ground,

How high above ground are you?

Accepted Answer

144 feet

Answer

1.78 feet

Answer

3.46 feet

Answer

$\frac{2}{3}$ feet

Question 5

What is the domain and range of the following function $-2\sqrt{\ x-5}+2$?

Accepted Answer

$x\ge 5$; $y\le 2$

Answer

$x\ge 5$; $y\ge 2$

Answer

$x\le 5$; $y\le 2$

Answer

$x\ge -5$; $y\ge 2$

Question 6

What's the range of the following function $y=4\sqrt{\ x}-4$?

Accepted Answer

$y\ge -4$

Answer

$x\ge -4$

Answer

$y\ge 4$

Answer

$y\le -4$

Question 7

Which one of the shown graphs most likely represents the equation  $y=.5\sqrt{\ x+2}+3$?

Accepted Answer

a

Answer

d

Answer

c

Answer

b

Question 8

Boat builders share an old rule of thumb for sailboats. The maximum speed K in knots is 1.35 times the square root of the length L in feet of the boat's waterline. A customer is planning to order a sailboat with a maximum speed of 8 knots. How long should the waterline be?

Accepted Answer

35.12 feet

Answer

3.82 feet

Answer

5.93 feet

Answer

116.64 feet

Question 9

The circular velocity, v, in miles per hour, of a satellite orbiting Earth is given by the formula $ v=\sqrt{\frac {1.24x10^{12}}{r}}$, where r is the distance in miles from the satellite to the center of the Earth. How much greater is the velocity of a satellite orbiting at an altitude of 100 mi than one orbiting at 300 mi? (The radius of the earth is 3950 mi)

Accepted Answer

416.67 mph

Answer

200 mph

Answer

47064.28 mph

Answer

17717.90 mph

Question 10

The speed s in miles per hour that a car is traveling when it goes into a skid can be estimated by using the formula$s=\sqrt{30fd}$, where f is the coefficient of friction and d is the length of the skid marks in feet.
A car skids to a stop on a street with a speed limit of 30 mi/h. The skid marks measure 35 ft, and the coefficient of friction was 0.7. Was the car speeding? Explain.

Accepted Answer

No, the car was only travelling at 27.11 mph

Answer

Yes, the car was travelling at 42.86 mph

Answer

No, because at 30 mph, the skid mark would've been 42.86 feet

Answer

No, the car was only travelling at 25.10 mph

Question 11

Write the geometric rule to describe this transformation.

Accepted Answer

$(x,y) --> (-y,x)$

Answer

$(x,y) --> (-y,-x)$

Answer

$(x,y) --> (-x,y)$

Answer

$(x,y) --> (y,x)$

Question 12

Which triangle congruence theorem would prove that these two triangles are congruent, if any?

Accepted Answer

ASA

Answer

HL

Answer

SAS

Answer

not possible

Question 13

Angles x and y are congruent by what postulate?

Accepted Answer

Corresponding angles

Answer

Alternate interior angles

Answer

Consecutive angles

Answer

Opposite inverse angles

Question 14

Solve for x

Accepted Answer

9

Answer

$\frac{9}{13}$

Answer

$\frac{13}{9}$

Answer

-9

Question 15

Which of the following pairs of angles could be classified as consecutive angles

Accepted Answer

14 & 15

Answer

9 & 14

Answer

13 & 14

Answer

14 & 16

Question 16

Solve for x

Accepted Answer

22

Answer

3.14

Answer

12

Answer

77

Question 17

Write the standard form of a quadratic if the x-intercepts are (2, 0) and (6, 0)

Accepted Answer

$x^2-8x-12$

Answer

$x^2+8x+12$

Answer

$x^2-2x-6$

Answer

$x^2+2x+6$

Question 18

What is the discriminant of the following equation: $4x^2-45x+43$

Accepted Answer

1337

Answer

36.57

Answer

-2713

Answer

4.57

Question 19

An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is $s(t)=–4.9t^2+19.6t+58.8$, where s is in meters. When does the object strike the ground?

Accepted Answer

6

Answer

-2

Answer

-6

Answer

2

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