Beginning & Intermediate Algedra Review
0.10(10.5) Multiplying and Dividing Radical Expressions
Exercises 742
Multiply, then simplify the product. Assume that all variables represent
positive real numbers.
Exercises 4368
Rationalize the denominator. Assume that all variables represent positive real
numbers.
Exercises 6982
Simplify. Assume that all variables represent positive real numbers.
Exercises 85100
Rationalize the denominator. Assume that all variables represent positive real
numbers and that the
denominator is not zero.
Exercises 103110
Write the expression in lowest terms. Assume that all variables represent
positive real numbers.
0.11(4.1) The Product Rule and Power for Exponents
Exercises 512
Write the expression using exponents.
Exercises 1522
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 2542
Simplify the expression. Use positive exponents. Assume variables represent
nonzero real numbers.
Exercises 4362
Use the power rules for exponents to simplify. Write the answer in exponential
form.
Exercises 6380
Simplify the expression. Use positive exponents. Assume variables represent
nonzero real numbers.
Exercises 8386
Solve the problem.
52) Find the area of the figure.
Exercises 9194
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 110
Evaluate.
Exercises 1728
Evaluate the expression.
Exercises 2952
Simplify the expression. Use positive exponents. Assume variables represent
nonzero real numbers.
Exercises 5778
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 1130
Simplify the expression involving rational exponents.
Exercises 3344
Write with radicals. Assume that all variables represent positive real numbers.
Exercises 4756
Simplify by first converting to rational exponents. Assume that all variables
represent positive real numbers.
Exercises 5782
Use the rules of exponents to simplify the expression. Write the answer with
positive exponents.
Assume that all variables represent positive real numbers.
Exercises 9394
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 720
Multiply using the product rule.
Exercises 2338
Simplify the radical. Assume that all variables represent positive real numbers.
Exercises 3958
Express the radical in simplified form.
