**Exam: 050293RR - Rational Expressions**

**1.** Simplify the following expression:

**A.**

**B.**

**C.**

**D.**

**2.** Your textbook says that the focal length *f* of a lens is given by the lensmaker's formula where *r*

**A.** 4

**B.**

**C.**

**D.**

2

are the radii of the two circular surfaces. If those radii are 4 and 6 respectively, find *f*.

**3.** Perform the indicated operations and simplify the following expression:

**A.**

**B.**

**C.**

**D.**

**4.** After *t* hours of work, Group A completes of a job and Group B completes of the same job.

What expression represents the amount the two teams would complete after *t* seconds, working together?

**A.**

**B.**

**C.**

**D.**

**5.** Perform the indicated operations and simplify the following expression:

**A.**

**B.**

**C.**

**D.**

**6.** Express this sentence as a formula: *z* varies directly with the square of *s*.

**A.**

**B.**

**C.**

**D.**

**7.** Solve for *k* in .

**A.** *k* = –1 and *k* = 3

**B.** *k* = 3

**C.** *k* = –1 and *k* = 2

**D.** *k* = –1

**8.** Divide the following expression:

(*x*

2

+ 10*x* + 21) ÷ (*x* + 7)

**A.** *x* + 5

**B.** *x* - 2

**C.** *x*

2

+ 3

**D.** *x* + 3

**9.** It costs $500 to have a booth at the fair for one day and $2.75 for Aunt Ida to produce one of her

famous shepherd's pies. What is the function that gives the average cost in dollars per pie for one of Aunt

Ida's days at the fair?

**A.**

**B.**

**C.**

**D.**

**10.** Divide the following expression:

**A.** 5*z*

2

+ 7*z*

**B.** 3*z*

2

+ 7*z* + 3 and a remainder of –9

**C.** 3*z* + 7

**D.** 3*z*

2

+ 16*z* + 3 and a remainder of 6

**11.** Simplify .

**A.** –*a*

**B.** –*a*

**C.** –*a*

**D.** –*a*

8

4

4

8

*b*

*b*

*b*

*b*

–7

–7

3

3

**12.** Factor and simplify .

**A.**

**B.** It is already fully simplified.

**C.**

**D.**

**13.** Simplify the expression

**A.**

**B.**

**C.**

**D.**

**14.** Perform the indicated operations and simplify the following expression:

**A.**

**B.**

**C.**

**D.**

**15.** The total resistance *R* of two resistors in parallel is given by where *R*

first and *R*

**A.**

**B.**

**C.**

**D.**

2

the resistance of the second. Solve that equation for *R*

**16.** Simplify the expression

**A.**

**B.**

**C.**

**D.**

**17.** Perform the indicated operations and simplify the following expression:

1

and simplify.

1

is the resistance of the

**A.**

**B.**

**C.**

**D.**

**18.** Which sum yields ?

**A.**

**B.**

**C.**

**D.**

**19.** Solve this proportion for the variable:

**A.** y = 4

**B.** y = –2

**C.** y = 2

**D.** y = –4

**20.** Solve the following equation:

**A.** *z* = 6

**B.** *z* = –4

**C.** *z* = 4

**D.** *z* = –6

Purchase the answer to view it