INTEGRATED MATH 1 – REVIEW FOR FINAL EXAM - Semester …



Unit 1- Solving Linear Equations

Chapter 1 – Sections C, D and F and G

o Students must be able to solve multi-step linear equations

o Students must be able to solve rational equations by multiplying both sides by the lowest common denominator

o Students must be able to solve word problems with linear equations

Unit 1- Graphing Linear Equations

Chapter 6 – Sections A thru I (all but J)

o Students must be able to calculate slope (gradient), midpoint and distance

o Students must be able to graph a line given various information

o Students must be able to find the equation of a line given various information

o Students must be able to determine if a point is on a line

o Students must be able to determine if two lines are parallel or perpendicular

Unit 2- Parallel Lines and a Transversal

Chapter 24 – Section A and Chapter 6 A,B, and C

o Students must be able to use the angle relationships with two parallel lines and a transversal

o Students must be able to use sum of the angles in a triangle theorem

o Quadrilaterals and Polygon Angle sums will not be examined.

o Students must be able to calculate slope (gradient), midpoint and distance

Unit 3- Systems of Linear Equations

Chapter 6 – Section J

o Students must be able to solve a system of linear equations by graphing.

o Students must recognize if a system of equations has 0 solutions, 1 solution or infinitely many solutions

Chapter 17 – Sections A and B

o Students must be able to solve a system of linear equations by elimination

o Students must be able to solve a system of linear equations by substitution

o Students must be able to solve word problems with a system of linear equations

Unit 3- Solving Linear Inequalities

Chapter 1 - Section E

o Students must be able to solve multistep linear inequalities

o Students must be able to multiply or divide both sides of an inequality and remember to switch the sign.

o Students must be able to graph a linear inequality on the number line

Unit 4- Index Laws

Chapter 2 – Sections A thru D (not E)

o Students must be able to simplify expressions using the index laws

o Students must be able to solve an exponential equation that has the same base

o Students must be able to use Scientific Notation to represent very large or very small numbers

o Students must be able to add, subtract, multiply and divide using Scientific Notation

Unit 4- Radical Expressions

Chapter 4 – Sections B and C

o Students must be able to simplify expressions using properties of radicals

o Students must be able to add, subtract, and multiply using radicals

Unit 5- Polynomial Expressions

Chapter 3 – Sections A thru G (all but H)

o Students must be able to collect like terms

o Students must be able multiply monomials

o Students must be able multiply polynomials using the distributive property

o Students must be able to recognize conjugates

Unit 5- Factoring Polynomial Expressions

Chapter 8 – All Sections

o Students must be able to factor out the greatest common factor

o Students must be able to factor 4 or more terms by grouping

o Students must be able to factor a difference of squares

o Students must be able to factor quadratic trinomials

Unit 5- Factoring Polynomial Expressions (Cont’d)

Chapter 16 – Section C

o Students must be able to use the zero product property to solve an equation

o Students must be able to solve a quadratic equation by factoring

Unit 6- Circle Geometry

Chapter 24 - Section B

o Students must be able use the circle theorems developed in class to solve problems

Unit 6- Triangle Congruence and Similarity

Chapter 24 – Section C, D and E

o Students must be able to determine if two polygons are congruent

o Students must be able to determine if two triangles are congruent, make a congruence statement and state which property could be used to prove their congruence

o Students must be able to prove that two triangles are congruent

o Students must be able to determine if two polygons are similar

o Students must be able to determine if two triangles are similar, make a similarity statement and state which property could be used to prove their similarity

o Students must be able to use polynomial and triangle similarity to solve various problems.

Note: Perimeter, Area, Surface Area and Volume will NOT appear on the exam.

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