Download Final Exam Information

Name: _______________________________________________________ Date: ____________
Math 8
Ms. Conway
Final Exam Information
Exam Breakdown
 multiple choice questions
 short response questions
A calculator will be
permitted on the entire test.
Topics
PROPERTIES
 Properties
o Commutative: Change order
o Associative: Arrange parentheses
o Distributive: Share outside number with all inside numbers
o Additive Identity: adding the opposite integer
TRANSLATING EXPRESSIONS, EQUATIONS, INEQUALITIES
 Translating algebraic expressions and inequalities
o Know your clue words
INTEGERS
 Add, Subtract, Multiply, Divide Integers
o (positive)x(positive) = positive
o (negative)x(negative) = positive
o (positive)x(negative) = negative
o (negative)x(positive) = negative
Same sign  +
Different sign  –
EXPONENTS
 Exponent Rules
o Multiplying
 Same base  add exponents
o Dividing
 Same base  subtract exponents
o Zero exponent
 Entire quantity changes to 1 (example: xo = 1)
o Negative Exponents
 Exponent becomes positive and moves to denominator
 Coefficients and already positive exponents stay in numerator
Name: _______________________________________________________ Date: ____________
Math 8
Ms. Conway
SLOPE-INTERCEPT FORM
 Slope-Intercept Form
 y = mx + b
 m = slope (
o
o
o
o
rise
)
run
 b = y-intercept (where the line crosses the y-axis)
Writing the formula

 Identify slope
and y-intercept, plug it into equation
Determining if a point lies on the line
 Plug the point (x and y values) into y = mx + b; if they are equal
then the point is on the line
Identifying the slope and/or y-intercept
 Horizontal lines = zero slope
 Vertical lines = undefined slope
Plotting given points and finding the slope
ANGLE RELATIONSHIPS
 Angle Relationships
o Complementary angles add up to 90o
o Supplementary angles add up to 180o
o Vertical angles (opposite) are equal
 Parallel Lines cut by a Transversal
o Alternate: opposite
o Interior: inside
o Exterior: outside
o Alternate Interior/Exterior Angles  EQUAL
MULTI-STEP EQUATIONS/INEQUALITIES
 Solving Multi-Step Equations and Inequalities
o Step 1: Distribute, if necessary
 Distribute = share (share the outside number with all terms
inside through multiplication)
o Step 2: Combine like terms, if necessary
 Like terms: same variable and same exponent
o Step 3:Move the variables to one side
o Step 4: Move the constants to the other side
o Step 5: Solve for the variable (like a two-step equation)
 Add/subtract (opposite/inverse operation of what is given)
Name: _______________________________________________________ Date: ____________
Math 8
Ms. Conway
 Multiply/divide (opposite operation of what is given)
INEQUALITIES
 Solving two-step inequalities
o Step 1: Add/subtract – opposite operation
o Step 2: Multiply/divide – opposite operation
 Remember, if you divide by a negative, flip the inequality sign.
 Graphing Inequalities on a Number Line
o Given a graph, what is the solution set?
o < or > has open circle
o < or > has closed circle
 Graphing Linear Inequalities
o Step 1: Identify slope (m)
o Step 2: Identify y-intercept (b)
o Step 3: Plot y-intercept, plot additional points with slope
o Step 3: Dashed line (< or >) or solid line (< or >)?
o Step 4: Use test point [(0, 0) is the easiest]
 Plug in and solve.
 True? Shade over test point.
 False? Shade away from test point.
SCIENTIFIC NOTATION
 Scientific Notation
o Coefficient must be between 1 and 10 – can be a decimal
o The exponent for 10 will be positive if you move right, and negative if
you move left
 Dividing Scientific Notation
o Step 1: Divide coefficients
o Step 2: SUBTRACT exponents
o Step 3: Write your new expression in scientific notation
TRANSFORMATIONS
Name: _______________________________________________________ Date: ____________
Math 8
Ms. Conway
MONOMIALS/POLYNOMIALS
 Monomials Squared (to the 2nd power)
o Write the monomial twice and multiply
o Remember the exponent rules
 Multiplying/Dividing Monomials
o Step 1: Multiply coefficients
o Step 2: Whenever you have the same base, ADD exponents for
multiplication or SUBTRACT exponents for division
 Polynomials
o Adding/Subtracting
 Line up like terms
 For subtraction, distribute the negative sign (change all signs
for the second polynomial).
o Multiplying Binomials
 FOIL: first, outside, inside, last  trinomial
o Dividing
 Use numerator to create separate division problems, each with
the same denominator

Divide coefficients, subtract exponents of like bases
 Area/Perimeter
o Area of rectangle = length x width
 FOIL
o Perimeter = add all sides
 Combine like terms