Free Algebra Tutorials! Home Systems of Linear Equations and Problem Solving Solving Quadratic Equations Solve Absolute Value Inequalities Solving Quadratic Equations Solving Quadratic Inequalities Solving Systems of Equations Row Reduction Solving Systems of Linear Equations by Graphing Solving Quadratic Equations Solving Systems of Linear Equations Solving Linear Equations - Part II Solving Equations I Summative Assessment of Problem-solving and Skills Outcomes Math-Problem Solving:Long Division Face Solving Linear Equations Systems of Linear Equations in Two Variables Solving a System of Linear Equations by Graphing Ti-89 Solving Simultaneous Equations Systems of Linear Equations in Three Variables and Matrix Operations Solving Rational Equations Solving Quadratic Equations by Factoring Solving Quadratic Equations Solving Systems of Linear Equations Systems of Equations in Two Variables Solving Quadratic Equations Solving Exponential and Logarithmic Equations Solving Systems of Linear Equations Solving Quadratic Equations Math Logic & Problem Solving Honors Solving Quadratic Equations by Factoring Solving Literal Equations and Formulas Solving Quadratic Equations by Completing the Square Solving Exponential and Logarithmic Equations Solving Equations with Fractions Solving Equations Solving Linear Equations Solving Linear Equations in One Variable Solving Linear Equations SOLVING QUADRATIC EQUATIONS USING THE QUADRATIC FORMULA SOLVING LINEAR EQUATIONS

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 Number of equations to solve: 23456789
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 Number of inequalities to solve: 23456789
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# Systems of Equations in Two Variables

The exam will be based upon your homework, the material we covered in class, along with the
reading assignments. It will be in class on Thursday, April 9, and you will have sixty- five minutes
to complete it. This study guide provides an overview of what will be on the exam.

Chapter 4.1: Systems of Equations and Graphing. Students should be able to perform each
• Find a solution for a system of equations
• Use the TI to find a point of intersection (CAL 5: INTERSECT)
• Find a solution to a system of equations by graphing by hand
• Identify Consistent and Inconsistent systems
• Graphs intersect at one point vs Graphs are parallel vs. Equations have the same graph

Chapter 4.2: Systems of Equations and Substitution. Students should be able to perform
• Use the substitution method to find a solution to a system of equations
• See To Solve a System Using Substitution on page 303

Chapter 4.3: Systems of Equations and Elimination. Students should be able to perform
• Solve a system of equations using the elimination method
• Multiply the equation(s) by a well chosen number(s) and then add the two equations to-
gether, then use substitution

Chapter 4.4: More Applications Using Systems. Students should be able to perform each
• State the strengths and weaknesses to finding solutions using graphical, substitution, or
elimination methods
• Translate and solve mixture problems: Given a word problem, make a table that contains
the information, translate this into a system of equations and solve

Chapter 4.5: Solving Equations by Graphing. Students should be able to perform each of
• Solve equations graphically using the intersect method or the zero method
The Chapter 4 Summary and Review is on page 346-7. Review Exercises are on page 348-9. The
Chapter Test is on page 350.

Chapter 5.1: Exponents and Their Properties. Students should be able to use each of the
following rules to simplify an expression:
• The Product Rule: am ٠ an = am+n
• The Quotient Rule: am/an = am-n
• The Exponent Zero: a^0 = 1 for any real number a, a ≠ 0
• The Power Rule: (am)n = amn
• Raisng a Product to a Power: (ab)n = anbn
• Raising a Quotient to a Power: Chapter 5.2: Negative Exponents and Scientific Notation. Students should be able to use
each of the following rules to simplify an expression or perform the following tasks:
• Negative Exponents: a-n = • Factors and Negative Exponents: • Reciprocals and Negative Exponents: • Transform a number in decimal notation to scientific notation and vice versa
• Multiply and divide using scientific notation
• Use significant digits appropriately

Chapter 5.3: Polynomials and Polynomial Functions. Students should be able to use the
following vocabulary and perform each of the following tasks:
• Vocabulary: Term, monomial, binomial, trinomial, polynomial, degree of term, coefficient,
tion, cubic function, quartic function
• Find the domain and range of a polynomial

Chapter 5.4:Addition and Subtraction of Polynomials. Students should be able to perform
• Find opposites of polynomials
• Find the area, perimeter, surface or volume of a 2- or 3-dimensional object

Chapter 5.5: Multiplication of Polynomials. Students should be able to perform each of the