Deck 15: Algebraic Concepts 2

Question 1

Express the following expression as a single fraction with no common factors in the numerator and denominator.

A)
B)
C)
D)
E)

Answer 1

C

Question 2

Simplify the fraction.

A)
B)
C)
D)
E)

Answer 2

A

Question 3

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Answer 3

E

Question 4

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 5

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 6

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 7

Simplify the fraction.

A)
B)
C)
D)
E)

Question 8

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 9

Simplify the fraction.

A)
B)
C)
D)
E)

Question 10

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 11

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 12

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 13

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 14

Simplify the fraction.

A)
B)
C)
D)
E)

Question 15

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 16

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 17

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 18

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 19

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 20

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 21

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 22

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 23

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 24

The formula for the future value of an annuity due involves the expression . Write this expression over a common denominator and factor the numerator to simplify.

A)
B)
C)
D)
E)

Question 25

Rationalize the denominator of the fraction and simplify.

A)
B)
C)
D)
E)

Question 26

Rewrite the following so that only the positive exponents remain, and then simplify.

A)
B)
C)
D)
E)

Question 27

A company's average cost per unit when x units are produced is defined to be . Suppose a company's average costs are given by . Express the average cost as a single fraction.

A)
B)
C)
D)
E)

Question 28

Rewrite the following so that only the positive exponents remain, and then simplify.

A)
B)
C)
D)
E)

Question 29

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 30

Rewrite the following so that only the positive exponents remain, and then simplify.

A)
B)
C)
D)
E)

Question 31

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 32

Two thin lenses with focal lengths s and r and separated by a distance d have their combined focal length given by the reciprocal of . Combine the fractions in the expression above and use the reciprocal of your result to find the combined focal length.

A)
B)
C)
D)
E)

Question 33

Rationalize the numerator of the fraction and simplify.

A)
B)
C)
D)
E)

Question 34

Rewrite the following so that only the positive exponents remain, and then simplify.

A)
B)
C)
D)
E)

Question 35

Suppose that a company's daily sales volume attributed to an advertising campaign is given by , where t is the number of days since the campaign started. Express the sales volume as a single fraction.

A)
B)
C)
D)
E)

Question 36

A company's average cost per unit when x units are produced is defined to be . Suppose a company's average costs are given by . Express the average cost as a single fraction.

A)
B)
C)
D)
E)

Question 37

A company's average cost per unit when x units are produced is defined to be . Suppose a company's average costs are given by . Choose the expression that gives the company's total costs.

A)
B)
C)
D)
E)

Question 38

Perform the indicated operations and simplify.

A)
B)
C)
D)
E)

Question 39

Simplify the complex fraction.

A)
B)
C)
D)
E)

Question 40

Rationalize the denominator of the fraction and simplify.

A)
B)
C)
D)
E)