Mock Exam 3

Without using a calculator, find the exact value of sin⁻¹(√3/2).

• 3/2 π

• 1/6 π

• 1/3 π

• 5/3 π

Tags

CCSS.HSF.TF.B.7

It takes a train 8 hours to travel from Capital City to Johnson City when it travels at a speed of 75 mi/h. How long would it take the train to go the same distance when it travels 50 mi/h?

• 12 h

• 3/2 h

• 2/3 h

• 11 h

Tags

CCSS.6.EE.B.7

Which function matches the graph?

• f(x) = (x-4)/(x-3)

• f(x) = (x-1)/(x-6)

• f(x) = (x-6)/(x-1)

• f(x) = (x-3)/(x-4)

Tags

CCSS.HSF-IF.C.7D

Simplify the rational expression, if possible.

• (n+6)/(n+7)

• (n+6)/(n-7)

• (n+6)/(n-4)

• (n-4)/(n-7)

Tags

CCSS.HSA.APR.D.6

Find the sum of the first 14 terms of the arithmetic sequence, if the first term is -3 and the common difference is 3.

• 462

• 252

• 99

• 231

34. Which of the following infinite geometric series does not have a sum?

• A series with common ratio r = 1/2

• A series with common ratio r = -1/3

• A series with common ratio r = 2

• A series with common ratio r = -1/2

A photographer points a camera at a window in a nearby building forming an angle of 44° with the camera platform. If the camera is 56 m from the building, how high above the platform is the window, to the nearest hundredth?

• 54.08 m

• 1.04 m

• 57.99 m

• 0.97 m

Tags

CCSS.HSG.SRT.C.8

Find the area of a sector with a central angle of 90° and a radius of 13.1 mm. Round to the nearest tenth. Use 3.14 for pi if necessary.

• 7722.5 mm²

• 134.7 mm²

• 10.3 mm²

• 269.4 mm²

Tags

CCSS.HSG.C.B.5

• -60

• -120

• -15

• -30

38. Which of the following infinite geometric series does not have a sum?

• A series with a common ratio of 1/2

• A series with a common ratio of -1/3

• A series with a common ratio of 2

• A series with a common ratio of -1/4