# Beginning & Intermediate Algedra Review

**Exercises 7-42**

Multiply, then simplify the product . Assume that all variables represent
positive real numbers.

**Exercises 43-68**

Rationalize the denominator . Assume that all variables represent positive real
numbers.

**Exercises 69-82**

Simplify. Assume that all variables represent positive real numbers .

**Exercises 85-100**

Rationalize the denominator . Assume that all variables represent positive real
numbers and that the

denominator is not zero .

**Exercises 103-110**

Write the expression in lowest terms . Assume that all variables represent
positive real numbers.

**Exercises 5-12**

Write the expression using exponents.

**Exercises 15-22**

Identify the base and the exponent for the exponential expression.

48) 3x^{12}

A)Base:12,exponent:3x

B)Base:3x,exponent:12

C)Base:x,exponent:12

D)Base:12,exponent:x

**Exercises 25-42**

Simplify the expression. Use positive exponents. Assume variables represent
nonzero real numbers .

**Exercises 43-62**

Use the power rules for exponents to simplify. Write the answer in exponential
form.

**Exercises 63-80**

Simplify the expression. Use positive exponents. Assume variables represent
nonzero real numbers.

**Exercises 83-86**

Solve the problem .

52) Find the area of the figure.

**Exercises 91-94**

Use the formula A = P(1+r)^n to find the amount of money in the bank account
described. Use a

calculator, and round to the nearest cent.

53) P=$250, r=0.06,n=6

A) $454.63

B) $1590.00

C) $346,318,142,640,625.00

D) $354.63

## 0.12(4.2) Integer Exponents and the Quotient Rule

**Exercises 1-10**

Evaluate.

**Exercises 17-28**

Evaluate the expression.

**Exercises 29-52**

Simplify the expression. Use positive exponents. Assume variables represent
nonzero real numbers.

**Exercises 57-78**

Use a combination of rules for exponents to simplify. Write answers with only
positive exponents.

Assume that all variables represent nonzero real numbers.

## 0.13(10.2) Rational Expressions

**Exercises 11-30**

Simplify the expression involving rational exponents.

**Exercises 33-44**

Write with radicals. Assume that all variables represent positive real numbers.

**Exercises 47-56**

Simplify by first converting to rational exponents. Assume that all variables
represent positive real numbers.

**Exercises 57-82**

Use the rules of exponents to simplify the expression. Write the answer with
positive exponents.

Assume that all variables represent positive real numbers.

**Exercises 93-94**

Solve the problem.

65) A formula for calculating the distance , d, one can see from an airplane to
the horizon on a clear

day is d=1.22*1/2,where x is the altitude of th plane in feet and d is given in
miles. How far

can one see in a plane flying at 27,000 feet? Round your answer to the nearest
tenth mile, if necexsary.

A) 16,470 miles

B) 200.5 miles

C) 181.5 miles

D) 1647 miles

## 0.9(10.3) Simplifying Radical Expressions

**Exercises 7-20**

Multiply using the product rule.

**Exercises 23-38**

Simplify the radical. Assume that all variables represent positive real numbers.

**Exercises 39-58**

Express the radical in simplified form.