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Algebra I The beginning of Calculus. Agenda I know ? Word Real Numbers How to manipulate real numbers How do you find an irrational number on the number line? Irrational 9-8-2013 Math Review September 3, 2013 Evaluate 2. 7x = 28 1a. 0.75+1.3 1b. 1.2 – 1.0 To add or subtract, decimals, you need align the decimal To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -2, 0, 3 Real numbers exist on the number line. Math Review September 4, 2013 Evaluate 2. 9x = 81 1a. 0.82+ 2.9 1b. 2.9 – 1.0 To add or subtract, decimals, you need align the decimal To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: 7, 0, -7 Real numbers exist on the number line. Math Review September 5, 2013 Evaluate 2. 15x = 225 1a. 0.06+ 3.4 1b. 3.7 – 0.8 To add or subtract, decimals, you need align the decimal To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -1.2, 0, 3.8 Real numbers exist on the number line. Math Review September 9, 2013 Evaluate 1 2 1a. 6 3 2. 25x = 625 1b. For x =3 1 1 4x 4x To add or subtract, fractions you need a common denominator To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -½ , 0, ½ Real numbers exist on the number line. Math Review September 10, 2013 Evaluate 1 1 1a. 16 4 2. 13x = 169 1b. For x =-4 1 1 x x To add or subtract, fractions you need a common denominator To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -8.1, 0, .05 Real numbers exist on the number line. Math Review September 11, 2013 Evaluate 1 1 1a. 2 4 2. 11x = 121 1b. For x =3 1 1 2 x 2 x To add or subtract, fractions you need a common denominator To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -4.1, 0, 3.2 Real numbers exist on the number line. Math Review September 12, 2013 Evaluate 7 1 1a. 8 4 2. 12x = 144 1b. For x =3 4 1 x x To add or subtract, fractions you need a common denominator To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -10.8, 0, 11 Real numbers exist on the number line. Math Review September 16, 2013 Evaluate 2. 3x +4 = 16 1a. For x = 12 x 1b. For x =3 2x Absolute value is always positive To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: 8 , 0, 8 Real numbers exist on the number line. Math Review September 17, 2013 Evaluate 2. 5x +2 = 12 1a. For x = -12 x 1b. For x =-3 2x Absolute value is always positive To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -8, 0, 4 Real numbers exist on the number line. Math Review September 18, 2013 Evaluate 2. -2x +7 = 15 1a. For x = -½ x 1b. For x = 13 2x Absolute value is always positive To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -1, 0, 6 Real numbers exist on the number line. Math Review September 19, 2013 Evaluate 2. -x +7 = 15 1a. For x = -36 x 1b. For x = 8 -x Absolute value is always positive To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -5, 0, 5 Real numbers exist on the number line. Math Review September 23, 2013 Evaluate 2. 7x = 49 1a. 100% of 100 1b. 100% of 200 The denominator of a percent is 100. To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: 0.33 , 0, 0.33 All real numbers exist on the number line Math Review September 24, 2013 Evaluate 2. 5% x = 25 1a. 100% of 600 1b. 100% of 1,000 The denominator of a percent is 100. To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: 3.33 , 0, 3.33 All real numbers exist on the number line Math Review September 25, 2013 Evaluate 2. 3% x = 9 1a. 100% of 125 1b. 200% of 100 The denominator of a percent is 100. To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: 0.12 , 0, 0.5 All real numbers exist on the number line Math Review September 26, 2013 Evaluate 2. 2% x = 4 1a. 300% of 6 1b. 800% of 1,000 The denominator of a percent is 100. To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: 1.0 , 0, 6.843 All real numbers exist on the number line Math Review September 30, 2013 Solve for x 1. 6 10 x 100 Solve a proportion: 1. Up and down 2. Across 3. Cross Products Solve for x. 3. Graph y = 2x 2. -7x + 2 = 58 To solve for x, isolate the variable. f(x) = mx + 0 defines a proportional relationship Math Review October 1, 2013 Solve for x. Solve for x. 1. 3 1 2. -7x - 13 = 29 x 13 Solve a proportion: 1. Up and down 2. Across 3. Cross Products To solve for x, isolate the variable. 3. Graph y = -2x f(x) = mx + 0 defines a proportional relationship Math Review October 2, 2013 Solve for x. Solve for x. 1. 3 24 2. -7x - 2 = 40 Solve a proportion: 1. Up and down 2. Across 3. Cross Products To solve for x, isolate the variable. x 8 3. Graph y = -x f(x) = mx + b defines a linear function Math Review October 3, 2013 Solve for x. Solve for x. 1. 3 21 2. -x = -8 x 7 Solve a proportion: 1. Up and down 2. Across 3. Cross Products To solve for x, isolate the variable. 3. Graph y = 0.5x f(x) = mx + b defines a linear function Number Theory Complex a + bi Real Transcendental Imaginary Irrational Rational a form b positive, negative and zero Integers 1 Fractional Whole positive zero Natural positive Number Theory Real Irrational Rational a form b positive, negative and zero Integers Whole positive zero Real Numbers Decimal – place value Agenda I know ? Word Real Numbers Numbers can have a positive or negative sign How do you find a rational number on the number line? Rational 9-11-2013 Agenda I know ? Word Real Numbers Real numbers exist on the number line How do you find an irrational number on the number line? Irrational 9-10-2013 Agenda I know ? Word Real Numbers Only the sign moves a number on the number line How is subtraction the inverse of addition? Inverse 9-12-2013 Agenda I know ? Word Real Numbers The rules of signed numbers under multiplication. How is division the inverse of multiplication? Multiplicative Inverse 9-12-2013 Algebra 1 • Problem to Solve Custodian Koua Agenda Real Number Operations I know Multiplication is repeated addition; Division repeated subtraction ? What are the four operations you can do to a number? Word Inverse 9-10-2013 Agenda I know The beginning of Calculus. The power of the proportion. ? When is something proportional? Word Mastery 9-6-2013 Agenda I know Real Number Operations Absolute value counts distance from zero ? Why is x x ? Word absolute 9-12-2013 Agenda I know Do you speak Math? How to speak math ? Why is math a language? Word language 9-12-2013 Math Review September 30, 2013 Evaluate 1 1 1a. 3 6 2. -7x = 49 1b. For x =3 1 1 3x 6 x To add or subtract, fractions you need a common denominator To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -8, 4 , 7.8 All real numbers exist on the number line Math Review September 11, 2013 Evaluate 1 1 1a. 7 14 2. -7x = 56 1b. For x =3 1 1 7 x 14 x To add or subtract, fractions you need a common denominator To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -2.2, 3, 12.1 All real numbers exist on the number line Math Review September 12, 2013 Evaluate 1 1 1a. 11 22 2. -7x = 63 3. Draw number line and locate the following real numbers: -0.2, 1.3, 3 To solve for x, isolate the variable. All real numbers exist on the number line 1b. For x =3 1 1 11x 22 x To add or subtract, fractions you need a common denominator Agenda I know Number Line How to draw a number line ? Given a coordinate pair, what are the steps to plotting the point? Word grid 9-13-2013 Math Review September 13, 2013 Evaluate 1 1 1a. 2 2 2. -7x = 84 1b. For x =3 1 1 x x To add or subtract, fractions you need a common denominator To solve for x, isolate the variable. 3. Draw number line and locate the following real numbers: -0.4, 0.8, 8.1 All real numbers exist on the number line Agenda Real Numbers I know That multiplication is repeated addition ? Why do we have exponents? Word Lazy 9-17-2013 Agenda I know Real Numbers That division is repeated subtraction ? What is the inverse of multiplication? Word Inverse 9-18-2013 Agenda Real Numbers I know How to graph coordinate pairs on a Cartesian Coordinate Plane ? What is an example of a Cartesian Coordinate System? Word coordinate 9-19-2013 Math Review September 19, 2013 Solve for x. Solve for x. 1. 3 x 2. -7x - 2 = 61 18 12 Solve a proportion: 1. Up and down 2. Across 3. Cross Products To solve for x, isolate the variable. 3. Graph y = -3x + 1 f(x) = mx + b defines a linear function Agenda Real Numbers I know How to graph coordinate pairs on a Cartesian Coordinate Plane ? What is an example of a Cartesian Coordinate System? Word coordinate 9-20-2013 Math Review September 20, 2013 Solve for x. Solve for x. 1. 1 1 2. -7x - 2 = 26 x 13 Solve a proportion: 1. Up and down 2. Across 3. Cross Products To solve for x, isolate the variable. 3. Graph y = -2x + 1 f(x) = mx + b defines a linear function Agenda Real Numbers I know How to graph coordinate pairs on a Cartesian Coordinate Plane ? What is an example of a Cartesian Coordinate System? Word Axis Scale Interval 9-242013 The Grid Agenda Real Numbers I know The Cartesian Coordinate Plane is divided into 4 quadrants ? Have you mastered the Cartesian Coordinate System? Word Quadrant 9-25-2013 Math Review September 25, 2013 Solve for x. Solve for x. 1. 8 26 2. -x - 13 = 29 x 13 Solve a proportion: 1. Up and down 2. Across 3. Cross Products To solve for x, isolate the variable. 3. Graph y = -x f(x) = mx + b defines a linear function Agenda Real Numbers I know How to graph the Cartesian Coordinate Plane ? Word Who developed the Cartesian Coordinate System? Title Table System Line 9-26-2013 Math Review September 26, 2013 Solve for x. Solve for x. 1. 3 21 2. -x = -8 x 7 Solve a proportion: 1. Up and down 2. Across 3. Cross Products To solve for x, isolate the variable. 3. Graph y = -x -3 f(x) = mx + b defines a linear function Math Review September 27, 2013 Solve for x. Solve for x. 1. 9 63 2. -x = -8 -7 x 7 Solve a proportion: 1. Up and down 2. Across 3. Cross Products To solve for x, isolate the variable. 3. Graph y = -x - 4 f(x) = mx + b defines a linear function Math Review September 8, 2011 Solve for x • 1 1 x 2 8 • 0.51 + 0.501 = x To add or subtract, fractions you need a common denominator Decimals define place value • Percentage 50% of 100 = x • 1 + 31 = x • 4–3=x % out of 100 Addition combines numbers. Subtraction changes the sign. Math Review September 12, 2011 Solve for x • 1 1 x 2 12 • 0.501+ 0.501 = x To add or subtract, fractions you need a common denominator Decimals define place value • Percentage 25% of 100 = x % out of 100 • 1+9=x Addition combines numbers. • 4–6=x Subtraction is the addition of the opposite sign. Math Review September 13, 2010 Solve for x • 1 1 x 5 45 To add or subtract, fractions need a common denominator • 1.5 + 1.5 = x Decimals define place value • 25% of 200 = x % out of 100 • 8 + 12 = x Addition combines numbers • 1-2=x Subtraction is the addition of the opposite sign. Math Review September 14, 2010 Solve for x • 1 1 x 25 225 • 1.02 + 0.52 = x • 25% of 300 = x • 32 +8 = x • -8 + -12 = x To add or subtract, fractions need a common denominator Decimals define place value % out of 100 Addition combines numbers Subtraction is the addition of the opposite sign Math Review September 15, 2010 Solve for x • Fraction 1 1 x 15 225 To add or subtract, fractions need a common denominator • Decimal 1.02 * 0.525 = x • Percentage 25% of 50 = x • Signed Number -18 + -20 = x Decimals define place value % out of 100 Negative is like someone owes you money Math Review September 16, 2010 Solve for x • 1 1 x 10 1000 • 1.02 * 0.52501 = x • 25% of 200 = x • -16 + -2 = x To add or subtract, fractions need a common denominator Decimals define place value % out of 100 Negative is like someone owes you money Math Review September 19, 2011 Solve for x 1. 2x = 20 Property of Equality - What you do to one side you do to the other 2. x = 2y + 2 where y = 2 3. 1 2 x 2 = 2 4. -9 – -3 = x 5. 2 19 * x 19 4 4 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review September 20, 2011 Solve for x 1. 3x = 21 Property of Equality - What you do to one side you do to the other 2. x = 2y + 2 where y = -2 3. 1 2 x 2 = 2 4. -9 – -7 = x 5. 2 9 * x 9 4 10 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review September 21, 2011 Solve for x 1. 3x = 27 Property of Equality - What you do to one side you do to the other 2. x = 2y + 2 where y = 4 3. 1 2 x 2 = 2 4. -9 – -1 = x 5. 3 9 * x 9 4 -12 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review September 26, 2011 Solve for x 1. 3x = -27 Rene Descartes Property of Equality - What you do to one side you do to the other 2. x = 2y + 2 where y = -3 3. 1 2 x 2 = 2 4. -9 = x - -2 5. 5 9 * x 63 4 -24 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review September 27, 2011 Solve for x 1. 3x = -27 Property of Equality - What you do to one side you do to the other 2. x = 2y + 2 where y = -3 3. Graph 1 2 x 2 = 2 4. -9 = x - -2 5. 5 9 * x 81 4 21 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review September 28, 2011 Solve for x 1. -3x = 27 Line Property of Equality - What you do to one side you do to the other 2. x = 2y + 2 where y = -1 3. 1 2 x 2 = 2 4. -9 = x -1 5. 7 9 * x 27 4 -12 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review September 29, 2011 Solve for x 1. -3x = -27 Linear Property of Equality - What you do to one side you do to the other 2. x = 2y + 2 where y = 1 3. 1 2 x 2 = 2 4. -9 = x - 100 5. 7 9 * x 72 4 0 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Agenda for September 23, 2011 0011 0010 1010 1101 0001 0100 1011 • Problem Solving • We will work in groups • Homework – write up how to solve the problem on your own 1 2 4 Math Review October 3, 2011 Solve for x Equal Sign 1. -3x = -33 Property of Equality - What you do to one side you do to the other 2. x = 2y where y = -1 3. 2 2 x 3 = 4. -9 = x - 19 5. 7 9 * x 9 4 0 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review October 4, 2011 Solve for x Equal 1. -3x = -24 Property of Equality - What you do to one side you do to the other 2. x = 2y where y = -8 3. 2 2 x 4 = 4. -9 = x - 81 5. 7 9 * x 54 4 0 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review October 5, 2011 Solve for x Evaluate 1. -3x = -36 Property of Equality - What you do to one side you do to the other 2. x = 2y where y = -11 Substitution - Replaces with 3. equal value 2 2 x 3= 4. -4 = x - 14 5. 7 3 * x 9 4 0 Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review October 10, 2011 Solve for x Answer 1. -3x = -51 Property of Equality - What you do to one side you do to the other 2. x = 2y where y = -18 Substitution - Replaces with 3. 2 5 x equal value 10 = 4. -1 = x - 14 5. 7 3 * x 6 4 0 Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review October 11, 2011 Solve for x Answer 1. -3x = -72 Property of Equality - What you do to one side you do to the other 2. x = 3y where y = -15 3. 2 8 x 3= 4. -27 = x - 14 5. 7 3 * x 6 4 0 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review October 12, 2011 Solve for x 1. -3x = -96 2. x = 2y 3. Answer Property of Equality - What you do to one side you do to the other where y = -110 Substitution - Replaces with 2 8 x 9 4. -14 = x - 9 5. 7 54 * x 6 1 equal value =0 Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review October 13, 2011 Solve for x 1. -3x = -48 Answer Property of Equality - What you do to one side you do to the other 2. x = 3y where y = -15 3. 2 8 x 4 = 4. -14 = x - 25 5. 7 18 * x 6 4 0 Substitution - Replaces with equal value Property of Distribution - Share with every term in the parenthesis Subtraction – addition of the opposite sign Fraction multiplication – cancel numerator to denominator Math Review September 21, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition What you do to one side you • Property of Equality do to the other 4x = 20 Parentheses define the group • Property of Association (2+x) + -1 = 2+(x + -1) Show is true if x=-1 Changing the order does not • Commutative Property change the answer 5x + 4 = 4 + 5x; Show is true if x =-1 • Property of Distribution Share with every term in the parenthesis 1 333 18 = x 3 Math Review September 22, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition What you do to one side you • Property of Equality do to the other -2x = 20 Parentheses define the group • Property of Association (2+x) + -1 = 2+(x + -1) Show is true if x=0 Changing the order does not • Commutative Property change the answer 5x + 4 = 4 + 5x; Show is true if x=0 • Property of Distribution Share with every term in the parenthesis 1 228 18 = x 2 Math Review September 23, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition What you do to one side you • Property of Equality do to the other 0x = 20 Parentheses define the group • Property of Association (2+x) + -1 = 2+(x + -1) Show is true if x=1.1 Changing the order does not • Commutative Property change the answer 5x + 4 = 4 + 5x; Show is true if x=1.1 • Property of Distribution Share with every term in the parenthesis 1 180 18 = x 9 Math Review September 24, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition What you do to one side you • Property of Equality do to the other 20x = 0 Parentheses define the group • Property of Association (2+x) + -1 = 2+(x + -1) Show is true if x=-1.1 Changing the order does not • Commutative Property change the answer 5x + 4 = 4 + 5x; Show is true if x=-1.1 Share with every term • Property of Distribution in the parenthesis 1 180 18 = x 9 Happy Friday • Algebra I Quiz 1. Graph y = -x -1 2. In the equation: y=mx+b, what does m represent? What is the value of x, at b? • Homework • Enjoy a most wonderful weekend!!! Math Review September 27, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition • Property of Equality What you do to one side you do to the other 1 = 5x 5 Parentheses define the group • Property of Association (24+6) + -13 = 24 + (6 + -13) • Commutative Property Changing the order does not change the answer 4 * 9 *25 = x • Property of Distribution Share with every term in the parenthesis 15 103 = x Math Review September 28, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition • Property of Equality What you do to one side you do to the other 4x - 4 = 20 Parentheses define the group • Property of Association (4x -2) + -13 = x • Commutative Property Changing the order does not change the answer 11x * 3 *11 = 363 • Property of Distribution Share with every term in the parenthesis 4x(x+1) = 4x + 1 Function • Matching rule: for each x there is only one y • f(x) f of x; function of x • Vertical Line Test – is a function if touches graphed line only once http://www.shodor.org/interactivate/activities/VerticalLineTest/ Y-intercept X-intercept •Find the y-intercept by setting x to zero and solving for y. •Find the x-intercept by setting y to zero and solving for x Math Review September 29, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition • Property of Equality What you do to one side you do to the other 6x – 4x = 20 Parentheses define the group • Property of Association (x2-2x) + -13x = 15 • Commutative Property Changing the order does not change the answer 2x * 33 *5 = 330 • Property of Distribution Share with every term in the parenthesis -4x(-x+1) = -4x + 1 Math Review October 1, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition • Property of Equality What you do to one side you do to the other -10x – 4x = 36 Parentheses define the group • Property of Association (x2-2x) + -3x = - 5x • Commutative Property Changing the order does not change the answer 2x * 41 *5 = 410 • Property of Distribution Share with every term in the parenthesis 4x(x+1) = 4x + 1 Math Review October 4, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition • Property of Equality What you do to one side you do to the other -18x – 7x = 625 Parentheses define the group • Property of Association (x2 - 2x) + -3x = - 5x + 1 • Commutative Property Changing the order does not change the answer 2x * 12 *6 = 144 • Property of Distribution Share with every term in the parenthesis 4x(x-1) = -4x + 1 Math Review October 5, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition • Property of Equality What you do to one side you do to the other -18x – 7x = 625 Parentheses define the group • Property of Association (x2 - 2x) + -3x = - 5x + 1 • Commutative Property Changing the order does not change the answer 2x * 12 *6 = 144 • Property of Distribution Share with every term in the parenthesis 4x(x-1) = -4x + 1 Math Review October 6, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition • Property of Equality What you do to one side you do to the other -18x – 7x = 625 Parentheses define the group • Property of Association (x2 - 2x) + -3x = - 5x + 1 • Commutative Property Changing the order does not change the answer 2x * 12 *6 = 144 • Property of Distribution Share with every term in the parenthesis 4x(x-1) = -4x + 1 Math Review October 7, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition • Property of Equality What you do to one side you do to the other -18x – 7x = 625 Parentheses define the group • Property of Association (x2 - 2x) + -3x = - 5x + 1 • Commutative Property Changing the order does not change the answer 2x * 12 *6 = 144 • Property of Distribution Share with every term in the parenthesis 4x(x-1) = -4x + 1 Math Review October 8, 2010 Solve for x using Properties of Real Numbers Under Multiplication or Addition • Property of Equality What you do to one side you do to the other -18x – 7x = 625 Parentheses define the group • Property of Association (x2 - 2x) + -3x = - 5x + 1 • Commutative Property Changing the order does not change the answer 2x * 12 *6 = 144 • Property of Distribution Share with every term in the parenthesis 4x(x-1) = -4x + 1 Math Review October 11, 2010 Solve for x using Properties of Real Numbers • Property of Equality What you do to one side you do to the other 28x – 3x = 625 Parentheses define the group • Property of Association (x2 + 4x) + -6x = -2x + 1 • Commutative Property Changing the order does not change the answer 3x * 12 *4 = 144 • Property of Distribution Share with every term in the parenthesis 4x(x+1) = 4x + 1 Math Review October 12, 2010 Solve for x using Properties of Real Numbers • Property of Equality What you do to one side you do to the other 27.5x – 2.5x = 625 Parentheses define the group • Property of Association (x2 + 8x) + -6x = 2x + 1 • Commutative Property Changing the order does not change the answer 11x * 4 *11 = 484 • Property of Distribution Share with every term in the parenthesis 4x(x+2) = 8x + 1 Notebook Organizer Notes from class Notes from class Date Title Happy Mole Day!!!! Math Review October 25, 2010 Solve for x using Properties of Real Numbers • Property of Equality What you do to one side you do to the other x+2 = 10 Parentheses define the group • Property of Association (x + 2) + -2 = 1 • Commutative Property Changing the order does not change the answer 3x * 12 *3 = 108 • Property of Distribution Share with every term in the parenthesis 4 (x+1) = 8 Math Review November 8, 2010 Solve for x using Properties of Real Numbers • Property of Equality What you do to one side you do to the other 2x+2 = 10 Parentheses define the group • Property of Association (x + 2) + -2 = 6 • Commutative Property Changing the order does not change the answer -3x * 12 *-3 = 108 • Property of Distribution Share with every term in the parenthesis 4 (x+1) = 12