Answer Key Exam 3 Equations - Intermediate Algebra | MATH 090, Exams of Algebra

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1)If f(x)=4x+12 , findf-^1 (x). A)f-^1 (x)=^1 4

x- 3

B)f-^1 (x)=^1 12

x+ 4

C)f-^1 (x)=-4x- 12 D)f-^1 (x)=-^14 x-^6

E)f is not a one-to-one function; thereforef-^1 does not exist. Answer:A

2)Ifloga 5 =1.77 andloga 2 =1.23 , findloga

A)-.64 B)-2.7585 C)-1.36 D)-.7875 E)-1.

Answer:A

3)Solve the equation:^16 b+ 2

= 1 +^2

b- 4

. This equation has two solutions. The SUM of the two solutions is:

A) 16 B)- 8 C) 10 D) 0 E)- 12 Answer:A

Use the square root property to solve the equation. All solutions are real numbers.

4)( 7 t- 7 )^2 = 14

A){^14 +^7 ,-^14 +^7 } B){

,-^14 -^7

C){^147 +^7 ,-^147 +^7 } D){ 721 ,- 721 }

Answer:C

Use the quadratic formula to solve the equation.

5. 6 x^2 =- 7 x- 8

A)^7 ±i^143 12

B) -^7 ±^143

C)^7 ±^143

D) -^7 ±i^143 12 Answer:D

Solve the problem. 6)A jet plane traveling at a constant speed goes 1200 miles with the wind, then turns around and travels for 1000 miles against the wind. If the speed of the wind is 50 mph and the total flight took 4 hours, find the speed of the plane. A)435 mph B)605 mph C)550 mph D)525 mph Answer:C

Solve the equation.

7)( 4 m- 2 )^2 - 6 ( 4 m- 2 )+ 5 = 0 A){-^1 2

,^3

} B){^3

,^7

} C){^1

,-^3

} D){-^3

,-^7

Answer:B

Solve the inequality and graph the solution.

8)^2 x 5 - x

<x

A)(0, 3 ) 1 ( 5 ,Q)

B)( 5 ,Q)

C)( 3 , 5 )

D)(-Q, 3 ) 1 ( 5 ,Q)

Answer:A

Graph the function.

9)f(x)=^3 x