Deck 13: Applied Mathematics Review

Question 1

Express 10³ in scientific notation.

A) 10³
B) 1 x 10³
C) 1000
D) log 1000 = 3

Answer 1

B
Numbers written in scientific notation are written in the following form: n.nnn x 10^p where n.nnn indicates the first four numerical values of the specified number.The power to which the base of 10 is raised (p)depends on the size of the specified number.

Question 2

Which of the following is an example of a random error?

A) inaccuracies in the laser positioning system
B) patient movement
C) human error
D) difference in cushioning capacity of couch materials between simulator and treatment table

Answer 2

B
An uncontrolled rapid change in temperature or barometric pressure,accidental movement of a patient during setup,and electronic noise are all examples of random errors.

Question 3

Find the log of log453.

A) 2.656
B) 6.116
C) -19.08
D) 8.752

Answer 3

A
The logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce the number.

Question 4

Express log₁₀ 100 = 2 in exponential notation.

A) 1.0 x 10²
B) 10² = 100
C) 2¹⁰ = 100
D) 10 = v100

Question 5

Which of the following is not a fundamental SI unit?

A) time
B) distance
C) weight
D) electrical current

Question 6

Solve for x in the equation 4(x + 6)= 6x - 16.

A) 1.6
B) 3.2
C) 4
D) 12

Question 7

Express 8.333 in scientific notation.

A) 8.333 x 10^-1
B) 8.333 x 10¹
C) 8.333 x 10⁰
D) cannot be written in scientific notation

Question 8

Simplify 5x⁴ * x.

A) 6x⁴
B) 5x⁵
C) 5x³
D) already simplified

Question 9

Transposition of numbers in a patient's chart is an example of which type of error?

A) systematic
B) random
C) blunder
D) None of the above

Question 10

Solve for x in the equation 4x - 4 = 12.

A) 6
B) ± 6
C) 4
D) ± 4

Question 11

Simplify 5(3b)²:

A) 15b²
B) 5(9b²)
C) 45b²
D) already simplified

Question 12

How many significant figures are there in 6,800?

A) 2
B) 3
C) 4
D) unable to determine

Question 13

Convert 2 Gy into rad.

A) 2 rad
B) 20 rad
C) 200 rad
D) 2000 rad

Question 14

How many significant figures are there in 0.0068?

A) 2
B) 3
C) 4
D) 5

Question 15

Solve for x in the equation x² - 1 = 0.

A) 0
B) 1
C) -1
D) ±1

Question 16

Solve for x in the equation x⁸/x⁶ = 100.

A) -10
B) ±10
C) 10
D) 1

Question 17

Simplify (a²)⁵:

A) a¹⁰
B) a⁷
C) a³²
D) a²⁵

Question 18

Express log₂ 16 = 4 in exponential notation.

A) 4 = v16
B) 4² = 16
C) 1.6 ? 10²
D) 2⁴ = 16

Question 19

Convert 8.25 R into the SI unit of exposure.

A) 3.20 x 10³ C/kg
B) 3.20 x 10⁴ C/kg
C) 2.13 x 10^-3 C/kg
D) 2.13 x 10^-4 C/kg