Math 103I Backgrounds Topic List

(work still in progress-last change 8-21-99)

The second part of the Math Placement Exam (MPT) covers intermediate algebra, commonly called "Algebra 2" in high school. A score of 15 or more out of 20 questions will satisfy the Math 103I requirement for demonstrating mastery of intermediate algebra to complete the course. A scientific calculator is allowed in the test, but not a graphing calculator, a calculator with an alpha- numeric keypad or a lap-top computer.

The following list of topics is described in terms of the textbook currently used in Math 42 and Math 44, Elementary  and Intermediate Algebra 2nd Edition by Bittinger, Ellenbogen and Johnson.

At the end of this page there is a list of recommended review/work problems from the same text that should provide a good list of exercises for developing mastery of most of these topics.

1.1-1.8    Real numbers and operations with them; Definition of absolute values
2.1,2.2    Linear equations
2.3        Formulas
2.4,2.5    Applications and problem solving
2.6,2.7    Solving linear inequalities
9.1-9.2   Inequalities & set notation
9.3        Equations and inequalities with absolute value
***Geometry Supplement***
6.1-6.3 Figures, angle sum, perim., rectangle area
6.4-6.6 Circles, areas, volumes, angle relationships
6.7-6.9 Congruence, similarity
***End of Geometry Supplement***
3.1,3.2    Cartesian coordinates and graphing lines
3.3-3.5    Slope of a line
p743-5     Distance and midpoints
8.1        Forms of Linear Equations
8.2        2x2 systems
8.3        Some applications of 2x2 systems
4.1,4.9    Scientific notation
4.2,4.3    Adding polynomials
4.4        Multiplication of polynomials
4.5        Common factors and factors by grouping
           Factoring special polynomials
           Factoring trinomials
           Strategies of factoring
4.7        Division of polynomials
6.1        Simplification of rational expressions
6.2        Multiplication and division of rational expressions
6.3,6.4    Addition and subtraction of radical expressions
6.5,6.6    Complex fractions
6.7        Equations and inequalities with rational expressions
             Variation
10.1       Radical expressions, simplifying
10.3       Addition and subtraction of radical expressions
10.4       Multiplication and division of radical expressions
10.2       Rational exponents
10.6       Equations involving radicals
10.7       Applications
10.8       Complex numbers
11.1       Solving the quadratic equation by factoring
11.2       Solving the quadratic equation by completing square
11.2       Using the quadratic formula
11.3       Applications and problem solving
12.1,12.6  Exponential equations
12.3,12.6  Logarithmic equations
12.4,12.5  Properties of logarithms
 
 

Math 103I

Algebra II Backgrounds

Recommended Problems


Sec Page Problems
Chap 1 61 Chapter 1 Test (All)
Chap 2 117 Chapter 2 Test (All)
6.1

6.2

6.3

275

281

285

***Geometry Supplement***

3,5,7,25,31,33,35,41,43,47

3,5,9,13,15,19

3,5,11,13,19,23,27

6.4

6.5

6.6

291

297

305

5,7,15,21,23,25

3,7,11,15,17,23,27,33,37,43

5,7,9,11,15,17,19,23,31,33

6.7

6.8

6.9

317

325

333

3,5,7,9,13,15,17,19,21

3,7,9,11,15,17,23,27,29,31,35,43,45,53

3,7,11,13,15,17,25

***End of Geometry Supplement***

3.1

3.2

125

135

3,7,11,15,19,23,27,31,35,41,55,59

3,7,11,17,21,27,41,45

3.3

3.5

144

164

1,3,15,19,23,29,35,45,47,49,65

3,7,11,13,17,25,31,39,41,43,47,49

4.1

4.2

4.3

182

189

197

7,19,23,27,35,39,59,65,71

19,21,35,37,43,53,59,73

9,13,29,41,43,55,59,61

4.4 205 7,9,11,31,33,39,49,57,61,69,81
4.7 227 1,5,11,13,23,31,33
4.9 239 3,7,11,15,19,37,41,69,73,81,93,97,101,107,111,113,117,119,121
5.1

5.2

253

259

7,13,17,21,23,27,35,41,61

3,11,15,19,27,37,49,57,67,77

5.3 268 3,9,19,27,29,39,53,57,83,85
5.4 275 3,7,17,27,31,35,41-44,57,67,77,87,97,99
5.6 286 7,17,29,37,43,55,65,87,93
5.7 292 1,7,9,11,13,17,23,29,37,39,49,53,55,57,69
5.8 300 3,7,11,13,15,25,29,42,49,51
6.1

6.2

314

318

3,7,11,15,17,25,29,35,39,45,51

3,7,13,17,21,25,29,37,43,49

6.3

6.4

327

335

3,13,15,21,23,39,61,63

7,15,21,27,35,45,57,59,65,69,83

6.5 341 21-37 odd, 49,51
6.6 346 1,5,9,15,21,23,27,29,31,33,39,45,49
6.7 354 3,7,11,17,21,25,27,31,35,41,47
6.8 362 1,2,5,11,19,25,31,47,48
8.1

8.2

430

439

3,5,9,11,13,15,23,31,39,43,59,61

1,7,9,15,21,29,33,35,41

8.3 450 21,25,29,33,37,39,61
9.1

9.2

494

504

9,11,19,21,33,35,39,41,43,45,53,55

1,3,7,11,12,15,17,45,47,61,83

9.3 513 1,9,15,17,23,27,35,45,71,81,83
10.1

10.2

544

550

9,11,15,17,19,21,31,33,39,45,53,55

3,5,13,23,31,35,37,43,47,49,51,59,61,73,85,93

10.3

10.4

557

563

9,13,19,25,39,43,63,69,71,79,85,101

5,9,17,29,35,37,43,49,55,61,71

10.6

10.7

576

582

1,13,25,33,35,39

1,7,11,19,21,31,35,37

10.8 590 1,13,17,19,27,37,41,43,55,61,73,83
11.1

11.2

605

611

1,9,13,19,21,63,69,87

3,11,15,17,21,23,27,31,33