Download Presentation
## Solving Equations

- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -

**Solving Equations**Chapter 2**2.1 Solving One-Step Equations**• Pg. 81 – 87 • Obj: Learn how to solve one-step equations in one variable. • Content Standard: A.CED.1 and A.REI.3**2.1 Solving One-Step Equations**• Equivalent equations – equations that have the same solution(s) • Isolate – get the variable with a coefficient of one alone on one side of the equation • Inverse Operation – an operation that undoes another operation**2.1 Solving One-Step Equations**• Method for solving one-step equations • Goal: Isolate the variable • Use the inverse operation to get the variable by itself • Addition – Subtraction • Subtraction – Addition • Multiplication – Division • Division – Multiplication • Whatever you do to one side of the equation, you must do to the other (balanced)**2.2 Solving Two-Step Equations**• Pg. 88 – 93 • Obj: Learn how to solve two-step equations in one variable. • Content Standards: A.REI.3, A.CED.1, and A.REI.1**2.2 Solving Two-Step Equations**• Method for solving two-step equations • Goal: Isolate the variable • Use the reverse of the order of operations • Addition or subtraction • Multiplication or division • Use the inverse operations • Keep the equation balanced**2.3 Solving Multi-Step Equations**• Pg. 94 – 100 • Obj: Learn how to solve multi-step equations in one variable. • Content Standards: A.CED.1, A.REI.1, and A.REI.3**2.4 Solving Equations With Variables on Both Sides**• Pg. 102- 108 • Obj: Learn how to solve equations with variables on both sides and identify equations that are identities or have no solution. • Content Standards: A.CED.1, A.REI.1, and A.REI.3**2.4 Solving Equations With Variables on Both Sides**• Identity – an equation that is true for every possible value of the variable**2.4 Solving Equations With Variables on Both Sides**• Solving Equations • Use the Distributive Property to remove grouping symbols • Combine like terms on each side of the equation • Get the variable terms on one side of the equation • Use the inverse operations to solve for the variable • Check you solution in the original equation**2.5 Literal Equations and Formulas**• Pg. 109 – 114 • Obj: Learn how to rewrite and use literal equations and formulas. • Content Standards: A.CED.4, N.Q.1, A.CED.1, A.REI.1, A.REI.3**2.5 Literal Equations and Formulas**• Literal equation - an equation that involves two or more variables • Formula – an equation that states a relationship among quantities**2.6 Ratios, Rates, and Conversions**• Pg.116 – 121 • Obj: Learn how to find ratios and rates and convert units and rates. • Content Standards: N.Q.1 and N.Q.2**2.6 Ratios, Rates, and Conversions**• Ratio – compares two numbers by division • Rate – a ratio that compares quantities measured in different units • Unit Rate – a rate with a denominator of 1 • Conversion Factor – a ratio of two equivalent measures in different units • Unit Analysis – using the units in calculations to help determine the units for the answers**2.7 Solving Proportions**• Pg. 124 – 129 • Obj: Learn how to solve and apply proportions. • Content Standards: A.REI.3, N.Q.1, and A.CED.1**2.7 Solving Proportions**• Proportion – an equation that states that two ratios are equal • Cross Products Property**2.8 Proportions and Similar Figures**• Pg. 130 – 136 • Obj: Learn how to find missing lengths in similar figures and use similar figures when measuring indirectly. • Content Standards: A.CED.1 and A.REI.3**2.8 Proportions and Similar Figures**• Similar Figures – have the same shape but necessarily the same size • Scale Drawing – a drawing that is similar to an actual object or place • Scale – the ratio of any length on the drawing to the actual length • Scale Model – a 3D model that is similar to the 3D object**2.9 Percents**• Pg. 137 – 143 • Obj: Learn how to solve percent problems using proportions and the percent equation. • Content Standard: Prepares for N.Q.3**2.9 Percents**• The Percent Proportion**2.9 Percents**• Simple Interest Formula • I = Prt • I = interest • P = Principal • r = rate (as a decimal) • t = time (in years)**2.10 Change Expressed as a Percent**• Pg. 144 – 150 • Obj: Learn how to find the percent of change and to find the relative error in linear and nonlinear measurements. • Content Standard: N.Q.3**2.10 Change Expressed as a Percent**• Percent of Change – expresses an amount of change as a percent of an original amount • Percent Increase – if a new amount is greater than the original amount • Percent Decrease – if a new amount is less than the original amount**2.10 Change Expressed as a Percent**• Percent of Change**2.10 Change Expressed as a Percent**• Relative Error – the ration of the absolute value of the difference of a measured value and an actual value compared to the actual value • Percent Error – when relative error is expressed as a percent**2.10 Change Expressed as a Percent**• Relative Error