State ALGEBRA Competency EXAM 

List of Questions and Skills

The textbook used is:  Elementary Algebra 3rd Edition Tussy/Gustafson

PLEASE USE THE CD THAT CAME WITH THE TEXTBOOK TO HELP

PREPARE FOR EACH QUESTION.

Comp Exam Question

Algebra State Test Competency

Section material is covered in textbook

1

Order of Operations (No Grouping / No Exponents)

1.7

2

Order of Operations (with Grouping and Exponents)

1.7

3

Absolute Value (with Addition and Subtraction)

1.3

4

Simplify Algebraic Expressions

(Using the Distributive Property)

2.3

5

Evaluate an Algebraic Expression

1.8

6

Solve a Linear Equation

2.1, 2.4

7

Solve a Linear Equation with Fraction Coefficient(s)

2.4

8

Solve a Literal Equation

2.5

9

Translate a Word Problem into an Algebraic Expression

1.8

10

Solve a Word Problem

2.2, 2.6

11

Translate a Word Problem into a Proportion

6.8

12

Simplify Exponential Expressions

(Positive Integer Exponents)

4.1

13

Simplify Exponential Expressions

(Positive and Negative Integer Exp.)

4.1, 4.2

14

Simplify Exponential Expressions

(Positive, Neg. and Zero Integer Exp.)

4.1, 4.2

15

Scientific Notation (To and From)

4.3

16

Subtraction of Polynomials: (polynomial) – (polynomial)

4.5

17

Multiply a Monomial and a Binomial:

(monomial)(binomial)

4.6

18

Multiply Two Binomials:  (binomial)(binomial)

4.6, 4.7

19

Factoring a Polynomial:  Greatest Common Factor (GCF)

5.1 (5.6)

20

Factoring a Polynomial:  Difference of Two Squares

5.4 (5.6)

21

Factoring a Polynomial:  By Grouping

5.1 (5.6)

22

Factoring a Polynomial:  A Trinomial

5.2, 5.3 (5.6)

23

Simplify a Rational Expression  Reduce by Factoring

6.1

24

Solving Quadratic Equations by Factoring

(Leading Coefficient is ONE, a=1)

5.7

25

Solving Quadratic Equations by Factoring

(Leading Coefficient is not ONE)

5.7

26

Simplify Square Root of a Monomial

8.1, 8.2

27

Simplify Square Root of a Polynomial Using the Distributive Property

8.3, 8.4

28

Solving a Linear Inequality

2.7

29

Identify Intercepts of a Linear (ax + by = c)

3.3

30

Match Linear Equation to Graph

(ax + by = c or y = mx + b)

3.2, 3.4