Exit Slip: Solve for x. Check your answer. 4x – 10 = 78

SWBAT… solve multi-step equations by CLT or distributive property Fri, 9/9 SWBAT… solve multi-step equations by CLT or distributive property Agenda WU (10 min) Solving multi-step equations – 4 examples (20 min) Start HW (15 min) Warm-Up: For the next 10 minutes, correct the quiz problems you got wrong HW#3-Solving Algebraic Equations

m = -12 1.) -(m + 1) = 11 Solve each equation: List the steps: Solving linear equations using distributive property or combining like terms Solve each equation: List the steps: 1.) -(m + 1) = 11 HW#3-Multi-Step Eqns 1. Distribute the -1 2. Add 1 to both sides 3. Divide both sides by -1 m = -12

b = 1 2.) b – 8b + 1 = -6 Solve each equation: List the steps: HW#3-Multi-Step Eqns 1. CLT: b – 8b = -7b 2. Subtract 1 from both sides 3. Divide both sides by -7 b = 1

g = 14 3.) 5(g + 8) – 7 = 103 Solve each equation: List the steps: HW#3-Multi-Step Eqns 1. Distribute the 5 2. CLT: 40 – 7 = 33 3. Subtract both sides by 33 4. Divide both sides by 5 g = 14

k = 12 4.) Solve each equation: List the steps: HW#3-Multi-Step Eqns 1. Cross multiply 3(k+3) = 9(5) 2. Distribute the 3 3. Subtract both sides by 9 4. Divide both sides by 3 k = 12

Work on HW#3 – Solving multi-step equations using the distributive property or combining like terms

Solving linear equations with variables on both sides Our goal is to collect the variable terms on one side of the equation and the numbers on the other side. 1.) -6b + 1 = -3 + 2b 2.) 2(r + 4) – 2 = (12r + 18) 1.) b = ½ 2.) r = -1

Solving linear equations with variables on both sides involving fractions 3.) Multiply both sides of the equation by 10 3.) x = 40 x = 40 To remove fractions from an equation: Multiply both sides of the equation by the least common denominator

SWBAT… solve multi-step equations. Tues, 8/30 SWBAT… solve multi-step equations. Agenda WU (10 min) Area & perimeter problem (10 min) Review hw#4 (15 min) Application equation problems (20 min) Warm-Up: Solve: 1.) 8a – 4(-5a – 2) = 12 2.) ½(12n – 4) = -(-14 + 10n) 3.) HW#5 – Application Equation Problems 1.) a = -1/2 2.) n = 1 3.) x = 1

Area/Perimeter problems

Work on HW#5-Application Equations 24.9 = 8.1 + t t = 16.8 hours 5 + c = 7.5 c = 2.5 million 1.6 – m = 0.8 m = $0.8 million 126 = 2/3c c = $189 p – 0.60p = 32 p = $80 2/3p – 25 = 115 p = $210 2h – 175 = 755 h = 465 home runs

SWBAT… solve multi-step equations Wed, 8/31 SWBAT… solve multi-step equations Agenda Equations on tablets (45 min) Warm-Up. Solve: Take out HW4/HW5 Reminder: HW-Back of agenda due tomorrow!

Directions: On your tablets, you will be solving equations. You will have 1-3 minutes to solve each problem (SHOW YOUR WORK – ALL STEPS!) When you hear the timer go off, show me your tablets.

1/15 What is the one country you would like to visit?

2/15 -(a + 1) = ¾ a = -1¾ or -7/4

3/15 p = 48

4/15 w =

5/15 a = 2

6/15 k = 12

7/15 The sum of six and four times d is the same as d minus nine. Solve for d. 6 + 4d = d – 9 d = -5

8/15 3(2k – 2) = -2(4k – 11) k = 2

9/15

10/15 6(3a + 1) – 30 = 3(2a – 4) a = 1

Find three consecutive even integers whose sum is -42. 11/15 Find three consecutive even integers whose sum is -42. n + (n + 2) + (n + 4) = -42 n = -16 -16, -14, and -12

12/15: Literal Equation Given d = rt for t t = d/r Solve for r r = d/t

Given y = mx + b solve for b 13/15: Literal Equation Given y = mx + b solve for b b = y – mx Solve for m m = (y – b)/x

14/15: Literal Equation Given P = 2l + 2w solve for w w = (P – 2l)/2

15/15: Literal Equation Solve 5x – 3y = 9 for y y = 5/3x – 3

Reminder: HW-Back of agenda due tomorrow!

SWBAT… solve equations with no solutions or infinite solutions Thurs, 9/1 SWBAT… solve equations with no solutions or infinite solutions Kalo Mina! Agenda WU (10 min) Equations: no solutions or infinite (20 min) Practice: HW#7 (15 min) Warm-Up: Pick up your HW from the front table Turn in back of agenda in blue folder Solve for y: HW#7 – Eqns with no solutions or infinite solutions and HW#8: Multi-step eqns

Topic: Solving equations with no solutions and infinite solutions Solve the following equations: 5x + 5 = 3(5x – 4) – 10x -5(3 – q) + 4 = 5q – 11 HW#7 – Eqns with no solutions or infinite solutions and HW#8: Multi-step eqns Topic: Solving equations with no solutions and infinite solutions 1. No solution Since 5 does not equal -12, this equation has no solutions. 2. Infinite Solutions or All Numbers Since the expressions on each side of the equation are the same, this equation is an identity. It is true for all values of x. -Plug in any for x. The left side will equal the right side. Try it, it really works!

SWBAT… solve equations with no solutions or infinite solutions Tues, 9/6 SWBAT… solve equations with no solutions or infinite solutions Agenda WU (15 min) Review HW#6/7 (15 min) Applications of linear equations (15 min) Warm-Up: Solve each equation: 1. 2. 4x + 6 = 6(x + 1) – 2x 3. x + 3 = x + 1 HW8: Applications of linear equations n = 40 Infinite Solutions No Solution

HW#6-No Solutions & Infinite Solutions Answers Infinite Solutions or All Numbers

HW#7-Multi-Step Equations Answers Infinite Solution or All Numbers No Solution Infinite Solutions or All Numbers b = -2 y = -4/3 m = 15

Applications of Linear Equations Selecting a Rental Car A car can be rented from Avis for $260 per week with no extra charge for mileage. Hertz charges $80 per week plus 25 cents for each mile driven to rent the same car. For how many miles of driving in a week will the costs for the two rentals be the same? m = number of miles driven 260 = 80 + 0.25m Final complete sentence: The costs for the two rentals will be the same with 72 miles of driving.

Education Pays Off The average yearly salary of a woman with an associate degree exceeds that of a woman with some college by $4 thousand. The average yearly salary of a woman with a bachelor’s degree or more exceeds that of a woman with some college by $21 thousand. Combined, the three women with each of these educational attainments earn $136 thousand. Find the average yearly salary of women with each of these levels of education. s = the average yearly salary of a woman with some college degree (in thousands) s + (s + 4) + (s + 21) = 136

Final complete sentence: Women with some college average $37,000 per year, women with associate degrees average $41,000 per year and women with bachelor’s degrees or more average $58,000 per year.

Costa’s Level of Questions Level 1: Recall, identify, define Recall requires the recall of information such as a fact, term, definition, or simple procedure. Level 2: Conceptual, interpretive Skill/concept requires mental processing that goes beyond recalling or reproducing an answer. Students must make some decisions about how to approach a problem. Level 3: Complex reasoning, analysis Strategic thinking requires planning, thinking, explaining, justifying, using evidence, conjecturing, and postulating.