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Math Final Review

Topics
• Finding the next number in a pattern
• Counterexamples
• Rounding
• Problem solving
• Unions, intersections, and complements.
• Venn diagrams.

• Survey problems
• Writing Hindu-Arabic numerals in expanded form
• Converting from base b to base 10
• Roman numerals
• Prime factorization, greatest common divisor , least common multiple
• Inequalities
• Absolute value
• Adding/ subtracting /multiplying/dividing integers
Order of operations
Reducing /adding/subtracting/multiplying/ dividing fractions
• Mixed numbers, improper fractions
• Adding/subtracting/multiplying/dividing square roots , rationalizing denominators
• Scientific notation
Arithmetic and geometric sequences
• Evaluating and simplifying algebraic expressions
Solving linear equations
• Solving proportions
• Solving linear inequalities and graphing the solution on the number line
• FOILing binomials, factoring trinomials , quadratic formula
• Exponents
• Distributive property
• Plotting ordered pairs
• Evaluating functions
• Vertical Line Test
Graphing lines
• Slope
• Determining whether a parabola opens up or down & whether it has a max or min
• Using the vertex to determine the maximum or minimum of a quadratic function
• Finding the intercepts & vertex of a parabola
• Graphing parabolas
• Finding the value of e & π on your calculator
• Graphing exponential functions
• Solving systems of equations by graphing , substitution, & addition
• Finding where two lines intersect
• Graphing systems of linear inequalities
• Modular arithmetic

Memorize:
• Roman numerals
• Slope-intercept form of a line: y = mx + b
Slope of the line between two points:

• Vertex of a parabola:

• Quadratic formula:

Extra credit review problems (20 points, due when you take the test)
• Give the values of e and π rounded to the nearest one, tenth, hundredth, and thousandth
• 1.1: 7,12,13,28
• 1.2: 51
• 1.3: 11,18
• 2.2: 6,29,40
• 2.3: 2,3,8,9,15,63,65,66
• 2.4: 28,29,32
• 2.5: 30
• 4.1: 12,17,21
• 4.2: 10,15,41,42
• 4.4: 20,22,23
• 5.1: 30,35,47,52,59,60
• 5.2: 6,7,10,14,15,19,24,32,33,36,41,44,45,56,63,67,70,73,75,82,87,92,95
• 5.3: 3,14,15,58,61,66,67,71,74,78,79,87
• List the perfect squares up to 144
• 5.4: 17,23,30,41,50,59,62
• 5.5: 23,26,27
• 5.6: 1,6,11,14,17,21,22,25,27,30,33,42,52,59,61,66,82,83,88,89
• 5.7: 5,10,49,56,100,105
• 6.1: 2,3,26,27,33,44,63,74,75
• 6.2: 22,38,41,45,46,63,69
• 6.4: 12,13,29,30
• 6.5: 35,40,53,54
• 6.6: 3,8,13,20,34,55,62,75
• 7.1: 8,16,17,35,40,54,55,61
• 7.2: 4,12,13,25,30,37,40,42,45
• 7.3: 2,3,6,7,16,17,19,22,26,29,46
• 7.4: 2,7,12,15
• 7.5: 10,11,15,20,25,30,47,51
• 7.6: 6,13,17,20,25,34
• 13.2: 20,27,33,36,37,62

General Info:
• Bring a calculator to the test. You may not use your cell phone.
• Please do not talk to anyone about the test who hasn’t taken it yet, as there are two sections of this class.

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