Deck 15: Algebraic Concepts 4

Question 1

Use the rules of exponents to simplify the expression.

A)
B)
C)
D)
E)

Answer 1

Question 2

Use the rules of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)

Answer 2

Question 3

Simplify the expression so that it contains only positive exponents

A) 1
B)
C)
D)
E)

Answer 3

1

Question 4

Compute and simplify so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 5

Simplify the expression so that it contains only positive exponents

A) 1
B)
C)
D)
E)

Question 6

Evaluate the expression.

A)
B)
C)
D)
E)

Question 7

Use the rules of exponents to simplify the expression.

A)
B)
C)
D)
E)

Question 8

Use the rules of exponents to simplify the expression.

A)
B)
C)
D)
E)

Question 9

Use the rules of exponents to simplify the expression.

A)
B)
C)
D)
E)

Question 10

Evaluate the expression.

A) 0
B) 1
C) 5
D)
E) undefined

Question 11

Use the rules of exponents to simplify the expression.

A)
B)
C)
D)
E)

Question 12

Evaluate the expression.

A) -64
B) 81
C) 256
D) 64
E) -256

Question 13

Simplify the expression so that it contains only positive exponents

A)
B)
C)
D)
E)

Question 14

Use the rules of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 15

Use the rules of exponents to simplify the expression.

A)
B)
C)
D)
E)

Question 16

Evaluate the expression.

A) 64
B) 256
C) -64
D) -256
E) 16

Question 17

Use the rules of exponents to simplify the expression.

A)
B)
C)
D)
E)

Question 18

Use the rules of exponents to simplify the expression.

A)
B)
C)
D)
E)

Question 19

Use the rules of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 20

Use the rules of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 21

If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by Find P for the given S, n, and i. Round your answer to two decimal places. $24,000 after 10 years at 7.75%

A) $10,712.11
B) $13,287.89
C) $11,377.28
D) $13,209.09
E) $12,622.72

Question 22

Use a calculator to approximate the indicated power. Round your answer to three decimal places.

A) -54.872
B) 54.872
C) 14.440
D) 208.514
E) -14.440

Question 23

Use a calculator to approximate the indicated power. Round your answer to maximum decimal places.

A) 0.027681
B) -65.684239
C) 36.12633
D) -36.126332
E) -0.027681

Question 24

Compute and simplify so that only positive exponents remain.

A) 1
B)
C)
D)
E)

Question 25

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

A)
B)
C)
D)
E)

Question 26

Compute and simplify so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 27

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

A)
B)
C)
D)
E)

Question 28

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

A)
B)
C)
D)
E)

Question 29

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is Find S for the given P, n, and i. Round your answer to two decimal places. $750 for 15 years at 10.25%

A) $2491.46
B) $3573.71
C) $2940.10
D) $3991.46
E) $3241.46

Question 30

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is Find I for the given P, n, and i. Round your answer to two decimal places. $1800 for 5 years at 10%.

A) $2898.92
B) $835.38
C) $1062.88
D) $1098.92
E) $4698.92

Question 31

Compute and simplify so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 32

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is Find I for the given P, n, and i. Round your answer to two decimal places. $800 for 16 years at 9.75%

A) $3544.56
B) $2744.56
C) $3090.16
D) $4344.56
E) $2429.67

Question 33

If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is Find S for the given P, n, and i. Round your answer to two decimal places. $2400 for 9 years at 10%

A) $5659.07
B) $3259.07
C) $5144.61
D) $929.81
E) $6224.98

Question 34

Compute and simplify so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 35

Compute and simplify so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 36

Compute and simplify so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 37

In many applications, it is often necessary to write expressions in the form , where c is a constant and n is an integer. Write the expression below in this form.

A)
B)
C)
D)
E)

Question 38

Compute and simplify so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 39

Compute and simplify so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 40

Compute and simplify so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 41

Evaluate the following expression if it represents a real number.

A) 0.001372
B) 729
C) -0.001372
D) 6561
E) not a real number

Question 42

Evaluate the following expression if it represents a real number.

A) 8
B) 4
C) -8
D) -4
E) not a real number

Question 43

If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by Find P for the given S, n, and i. $80,000 after 20 years at 12.5%

A) $7586.47
B) $2750.62
C) $8534.77
D) $9601.62
E) $5536.70

Question 44

Evaluate the following expression if it represents a real number.

A)
B)
C)
D) 3
E)

Question 45

Evaluate the following expression if it represents a real number.

A) 61.546691
B) 14348907
C) -531441
D) -61.546691
E) not a real number

Question 46

Evaluate the following expression if it represents a real number.

A)
B)
C)
D)
E)

Question 47

Evaluate the following expression if it represents a real number.

A) 8
B) 16
C) 2
D) 1.260
E) 2.520

Question 48

Rewrite the radical with a fractional exponent.

A)
B)
C)
D)
E)

Question 49

Evaluate the following expression if it represents a real number.

A)
B)
C)
D)
E) not a real number

Question 50

Write the expression in radical form. Do not simplify.

A)
B)
C)
D)
E)

Question 51

Rewrite the radical with a fractional exponent.

A)
B)
C)
D)
E)

Question 52

Replace the radical with a fractional exponent. Do not simplify.

A)
B)
C)
D)
E)

Question 53

Evaluate the following expression if it represents a real number.

A) -9
B) -27
C)
D)
E) not a real number

Question 54

Evaluate the following expression if it represents a real number.

A)
B)
C)
D)
E)

Question 55

Write the expression in radical form. Do not simplify.

A)
B)
C)
D)
E)

Question 56

Evaluate the following expression if it represents a real number.

A) 243
B) 2.40822
C) 3486784401
D) 81
E) 3.94822

Question 57

Suppose the number of endangered species y can be approximated by the formula where t is the number of years past 1980. How many species does the formula estimate will be added to the endangered species list between 2007 and 2020? Round your answer to the nearest whole number.

A) 331 species.
B) 326 species.
C) 343 species.
D) 338 species.
E) 317 species.

Question 58

Write the expression in radical form. Do not simplify.

A)
B)
C)
D)
E)

Question 59

Replace the radical with a fractional exponent. Do not simplify.

A)
B)
C)
D)
E)

Question 60

Assume that the national health care expenditure H (in billions of dollars) can be modeled (that is, accurately approximated) by the formula where t is the number of years past 1960. Approximate the national health expenditure in 1972. Round your answer to the nearest tenth of a billion.

A) billion
B) billion
C) billion
D) billion
E) billion

Question 61

Use the properties of exponents to determine the value for x that makes the equation true.

A)
B)
C)
D)
E)

Question 62

Rationalize the denominator and then simplify.

A)
B)
C)
D)
E)

Question 63

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 64

Use the properties of exponents and radicals to determine the value for x that makes the equation true.

A)
B)
C)
D)
E)

Question 65

Use the properties of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 66

Use the properties of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 67

Simplify the expression by using the properties of radicals. Assume nonnegative variables.

A)
B)
C)
D)
E)

Question 68

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 69

Use the properties of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 70

Use the properties of exponents and radicals to determine the value for x that makes the equation true.

A)
B)
C)
D)
E)

Question 71

Simplify the expression by using the properties of radicals. Assume nonnegative variables.

A)
B)
C)
D)
E)

Question 72

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 73

Use the properties of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 74

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 75

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 76

Use the properties of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 77

Use the properties of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)

Question 78

Simplify the expression by using the properties of radicals. Assume nonnegative variables.

A)
B)
C)
D)
E)

Question 79

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 80

Use the properties of exponents to simplify the expression so that only positive exponents remain.

A)
B)
C)
D)
E)