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Integrated 2
Exam Topics
1st 9-weeks:
Ch. 1 : Variables and expressions (base, power, exponent)
Order of Operations (PEMDAS)
Open Sentences (solving the equation or inequality)
Properties: Additive Identity ( a  0  a )
Multiplicative Identity ( a 1  a )
Multiplicative Property of Zero ( a 0  0 )
Multiplicative Inverse Prop. (
a b
 1)
b a
Reflexive ( a  a )
Symmetric ( if a = b, then b = a)
Transitive (if a = b, and b = c, then a = c)
Substitution
BIG 3:
Distributive a(b  c)  ab  ac
Commutative a  b  b  a or a  b  b  a
(Order)
Associative a  (b  c)  (a  b)  c or (a  b)  c  a  (b  c) (Grouping)
Ch. 2 : Rational Numbers
Integers and Number Lines
Adding and Subtracting Integers – absolute value – Additive Inverse Property
Rational Numbers – comparing rational numbers (cross products)
- between (specifically, half-way between)
- adding/subtracting – common denominator (use Least Common
Multiple)
- multiplying (multiply straight across top, across bottom)
- dividing (flip 2nd one and multiply)
Chapter 3:
Solving Linear Equations
- using addition and subtraction
- using multiplication and division
Solving Multi-step equations (work backward through the Order of
Operations)
Solving equations with variable on both sides
Questions to ask yourself:
1. What is being done to the variable?
2. How can I “un-do” that?
3. Perform operation.
4. Check solution.
Fractions: clear the fraction by multiplying by what’s in the denominator
Solving for a specified variable
Chapter 7: Solving Inequalities using:
Addition & subtraction, Multiplication and division
Multi-step inequalities
Graphing inequalities on a number line
Compound Inequalities (lines must overlap for and, take both for or)
2nd 9-weeks:
Chapter 5:
 Coordinate Plane: be able to label and identify the x and y axes, origin, quadrants,
and graph or identify ordered pairs

Relations: identify domain, range, inverse relations, draw a mapping, graph relations.

Linear Equations: solve, graph, be able to write in Standard Form (Ax + By = C)

Functions: determine whether or not a relation is a function (each domain value has
only one range value)
find the functional value for a given domain value; Vertical line test.
Chapter 6:
 Slope: rise = y ; calculate slope from 2 points
run
x

Lines:
 Know Standard Form (Ax+By=C) and Slope-Intercept form (y = mx + b)
Backwards and forwards!

Be able to graph a line when given the equation.

Be able to write an equation of a line when given
 the graph
 slope and a point on the line
 two points on the line

Identify the slope and y-intercept from an equation in slope-intercept form or from a
given graph.

Use x and y-intercepts to graph a line and write the equation for the line (use
Standard form), and, given the equation of a line, find the x and y-intercepts


Parallel Lines (equal slopes).
Slopes and equations of special lines (vertical VUX, and horizontal HOY)
Graphing Inequalities on the coordinate plane (dotted line vs. solid line)
Direct Variation: y=kx line must go through origin; be able to solve for the constant of
variation, k