Intermediate Algebra (11th edition)

492 CHAPTER 8 Roots, Radicals, and Root Functions

CUMULATIVE REVIEW EXERCISES

CHAPTERS 1– 8

Evaluate each expression for and

Solve each equation.

3. 
   
   
   
   4. 
      
   
   
   
   


4. 
   
   
   
   6. 7.Find the solution set of Write it in interval notation.
   
   
   
   

Solve each problem.

8.A piggy bank has 100 coins, all of which are nickels and quarters. The total value of the

money is $17.80. How many of each denomination are there in the bank?

9.How many liters of pure alcohol must be mixed with 40 L of 18% alcohol to obtain a 22%

alcohol solution?

10.Graph the equation

11.Find the slope of the line passing through the points and Then find the

equation of the line and write it in the form

12.If find

13.Solve by substitution or elimination.

2 x+ 3 y= 8

3 x- y= 23

ƒ 1 x 2 = 3 x-7, ƒ 1 - 102.

y=mx+b.

1 - 4, 6 2 1 2, - 32.

4 x- 3 y=12.

• 5 - 31 x- 22611 - 21 x+ 22.

0.04x+0.06 1100 - x 2 =5.88 | 6 x+ 7 |= 13

1

3

x+

1

4

31 x+ 22 - 412 x+ 32 =- 3 x+ 2 1 x+ 82 =x+ 7

1 a+b 21 a+c 2

3 b- 6

| 2 a^2 - 3 b+c|

a=-3,b=5, c=-4.

14.Solve by matrix methods.

x +y-z=- 1

x - y-z=- 3

x +y+z= 1

Solve the problem by using a system of equations.

15.In 2010, if you had sent five 2-oz letters and three 3-oz letters by

first-class mail, it would have cost you $5.39. Sending three 2-oz

letters and five 3-oz letters would have cost $5.73. What was the

2010 postage rate for one 2-oz letter and for one 3-oz letter?

(Source:U.S. Postal Service.)

Perform the indicated operations.

16.

17. 18.

Factor each polynomial completely.

Solve by factoring.

24.What is the domain of ƒ 1 x 2 =

4

x^2 - 9

?

2 x^2 + 11 x+ 15 = 0 5 x 1 x- 12 = 211 - x 2

2 p^2 - 5 pq+ 3 q^23 k^4 +k^2 - 4 x^3 + 512

6 y^4 - 3 y^3 + 5 y^2 + 6 y- 9

2 y+ 1

18 x- 721 x+ 32

13 k^3 - 5 k^2 + 8 k- 22 - 14 k^3 + 11 k+ 72 + 12 k^2 - 5 k 2