Graphing Exponential Functions Answers

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What is the solution to the equation ?

w = –8

w = –5

w = 5

w = 8

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Which of the following describes the solution to the equation ?

– 5 is an extraneous solution, and 1 is a true solution.

– 5 is a true solution, and 1 is an extraneous solution.

Both –5 and 1 are true solutions.

Both –5 and 1 are extraneous solutions.

What is the solution of ?

x = 142

x = 232

x = 322

no solution

What is the solution of ?

x = –3

x = 4

x = –3 or x = 4

no solution

The speed that a tsunami can travel is modeled by the equation , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

0.32 km

0.75 km

1.12 km

3.17 km

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula . If Saturn’s orbital period is 29.5 years, what is its distance from the sun?

9.5 AU

19.7 AU

44.3 AU

160.2 AU

What is the extraneous solution to the equation ?

p = –4

p = –2

p = 0

p = 4

Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

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What is the solution of ?

x = 6

x = 72

x = 126

no solution

Which of the following is an extraneous solution of ?

x = –12

x = –3

x = 3

x = 12

Which equation results from isolating a radical term and squaring both sides of the equation for the equation ?

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Which comparison of the two equations is accurate?Equation A: Equation B:

Both equations have different solutions because the square root of a number is not the same as the cube root of a number.

Both equations result in different equations after eliminating the radicals, so they have the different solutions.

Both equations have the same potential solutions, but equation A might have extraneous solutions.

Both equations have the same potential solutions, but equation B might have extraneous solutions.

Which of the following is an extraneous solution of ?

x = –6

x = –1

x = 1

x = 6

Which of the following is an extraneous solution of ?

x = –8

x = –2

x = 2

x = 8

What is the solution of ?

x = –72

x = –66

x = 58

no solution

What is the solution to the equation ?

x = –12

x = –4

x = 4

x = 12

What is the solution to the equation ? Assume the range is all real numbers.

x = –6

x = 5

x = 6, x = –5

x = –6, x = 5

Which statement describes a process to solve ?

Add a radical term to both sides and square both sides only once.

Add a constant term to both sides and square both sides only once.

Add a radical term to both sides and square both sides twice.

Add a constant term to both sides and square both sides twice.

Which equation shows a valid, practical step in solving ?

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Which equation is equivalent to ?

x + 11 = 225

x + 121 = 225

StartRoot x EndRoot = 15 + 11

StartRoot x EndRoot = 15 minus 11

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