Algebra - White Plains Public Schools

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AlgebraChapter 2A: EquationsName:Teacher:Pd:

Table of ContentsChapter 2-3(A): SWBAT: Solve equations in one variable that contain more than one operationPgs 1- 4Chapter 2-3(B): SWBAT: Solve Equations with Rational CoefficientsPgs 6 - 9Chapter 2-4: SWBAT: Solve equations in one variable that contain variable terms on both sidesPgs 10 - 14Chapter 2-5(A): SWBAT: Solve an equation in two or more variables for one of the variablesPgs 15 - 18Chapter 2-5(B): SWBAT: Solve an equation in two or more variables for one of the variablesPgs 19 - 23

Chapter 2 - 3 (A)SWBAT: Solve equations in one variable that contain more than one operationWarm – UpExample 1: Solving Two-Step EquationsSolve the equation. Check your solution.A)5t - 2 -32B)18 4a 10Practice: Solving Two-Step EquationsSolve the equation. Check your solution.1) 3x 6 -32) -x 7 -213) 39 -3x 31

Example 2: Simplifying Before Solving EquationsSolve the equation. Check your solution.C) Solve 8x – 21 5x –15.Practice: Simplifying Before Solving EquationsSolve the equation. Check your solution.Example 3: Simplifying Before Solving EquationsSolve the equation. Check your solution.D) -2(3 – d) 4E) 4(x – 2) 2x 402

Example 3: Simplifying Before Solving EquationsSolve the equation. Check your solution.Challenge Problem: Problem-Solving ApplicationSolve this equation for y:7y 5 - 3y 1 – 2y 2Summary:Exit Ticket3

Chapter 2 – 3(A) Homework (Holt Page 96)4

Extra Practice For Students Who Need More Practice5

Chapter 2 - 3 (B)SWBAT: Solve Equations with Rational CoefficientsWarm – UpSolve the following equations:1.5c - 4 - 10c 1 22. -3(y - 1) 9Example 1: Solving Equations that Contain FractionsSolve the equation. Check your solution.A)2x 203Method #1B)Method #2Method #1Method #2Practice: Solving Equations that Contain FractionsSolve the equation. Check your solution.6

Example 2: Solving Equations that Contain FractionsSolve the equation. Check your solution.C) 2 x 4 105Practice: Solving Equations that Contain FractionsSolve the equation. Check your solution.7

Challenge Problem: Problem-Solving ApplicationSolve For x:11(2 )x 442Summary:Exit Ticket8

Chapter 2 – 3(B) Homework (Holt Page 96)Solve the equation. Check your solution.9

Chapter 2 - 4SWBAT: Solve equations in one variable that contain variable terms on both sidesWarm – UpSolve each equation. Check your answer.1. 3(x – 2) 182.(x 6) - (2x 7) - 3x -9Example 1: Solving Equations with Variables on Both SidesSolve the equation. Check your solution.A) -15 4x - 6x 5Practice: Solving Two-Step EquationsSolve the equation. Check your solution.10

Example 2: Simplifying Each Side Before Solving EquationsSolve the equation. Check your solution.B) Solve: -2(1 - b) -5b 2b 8Practice: Simplifying Each Side Before Solving EquationsSolve the equation. Check your solution. An identity is an equation that is true for all values of the variable. An equation that is an identity hasinfinitely many solutions.11

A contradiction is an equation that is not true for any value of the variable. It has no solutions.Example 3: Solving Equations with Infinitely Many Solutions or No SolutionsSolve each.10 – 5x 1 7x 11 – 12x.12x – 3 x 5x – 4 8x.Practice: Solving Equations with Infinitely Many Solutions or No SolutionsSolve the equation.4y 7 – y 10 3y2c 7 c –14 3c 21.12

Challenge Problem: Problem-Solving ApplicationSolve the equation. Check your solution.Summary:Exit Ticket13

Chapter 2 - 4 Homework (Holt Page 103)27.28.14

Chapter 2 – 5(A)SWBAT: Solve an equation in two or more variables for one of the variablesWarm – UpSolve each equation. Check your answer.1. 7x 2 5x 82. 4(2x – 5) 5x 4Example 1: Solving Literal EquationsSolve for the indicated variable.1) d rt for r15

Practice: Solving Literal EquationsSolve for the indicated variable.1)S 2 rh for h2)3) P IRT for Tk wxy for xExample 2: Solving Literal EquationsSolve for the indicated variable.2) B T - LC for TPractice: Solving Literal EquationsSolve for the indicated variable.4)m bx t for t5)d w yx for wExample 3: Solving Literal EquationsSolve for the indicated variable.3) T p prt for rPractice: Solving Literal EquationsSolve for the indicated variable.6) y m x b for x7) a kt p for k8) h vt 16t 2 for v16

Challenge Problem: Problem-Solving ApplicationSolve for the indicated variable.a-c dbfor aSummary:Exit Ticket17

Chapter 2 – 5(A) Homework (Holt Page 110)18

Chapter 2 – 5(B)SWBAT: Solve an equation in two or more variables for one of the variablesWarm – UpSolve for B:S 2B PhExample 1: Solving Literal EquationsSolve for y.3x y 1219

Practice: Solving Literal EquationsSolve for y.1. -2x y 82) 16 4x y3) 5 y – xExample 2: Solving Literal EquationsSolve for y.6x 2y 10Practice: Solving Literal EquationsSolve for y.1) 4x 2y 162) 20 15x 5y3) 6x - 3y 124) 8x - 2y -145) -9x - 3y -276) - 3y - x -1220

Challenge Problem: Problem-Solving ApplicationSolve for y.4x 6x - 3y - 2y -25Summary:Exit TicketSolve for y.21

Chapter 2 – 5(B) - HOMEWORK22

23

Practice: Solving Equations that Contain Fractions Solve the equation. Check your solution. 2 5 x 4 10. 8 Challenge Problem: Problem-Solving Application Solve For x: 4

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