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

Exit Slip:

Solve for x. Check your answer.

4x – 10 = 78

SWBAT… solve multi-step equations by CLT or distributive property

Agenda

1. WU (10 min)

2. Solving multi-step equations – 4 examples (20 min)

3. Start HW (15 min)

Fri, 9/9

HW#3-Solving Algebraic Equations

Warm-Up:For the next 10 minutes, correct the quiz problems you got wrong

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


2.) b – 8b + 1 = -6


1. CLT: b – 8b = -7b

2. Subtract 1 from both sides

3. Divide both sides by -7

b = 1


3.) 5(g + 8) – 7 = 103


1. Distribute the 5

2. CLT: 40 – 7 = 33

3. Subtract both sides by 33

g = 14

4. Divide both sides by 5


4.)


1. Cross multiply 3(k+3) = 9(5)

2. Distribute the 3

3. Subtract both sides by 9

k = 12

4. Divide both sides by 3

5

3

3k

9

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) 3

2

Solving linear equations with variables on both sides involving fractions

3.) 45

8

2

3xx

To remove fractions from an equation:Multiply both sides of the equation by the least common denominator

Multiply both sides of the equation by 10

x = 40

SWBAT… solve multi-step equations.

Agenda 1. WU (10 min)2. Area & perimeter problem (10 min)3. Review hw#4 (15 min)4. Application equation problems (20 min)

Warm-Up: Solve:

1.) 8a – 4(-5a – 2) = 122.) ½(12n – 4) = -(-14 + 10n)3.)

HW#5 – Application Equation Problems

Tues, 8/30

6

5

23xx

Area/Perimeter problems

Work on HW#5-Application Equations

1. 24.9 = 8.1 + t t = 16.8 hours

2. 5 + c = 7.5 c = 2.5 million

3. 1.6 – m = 0.8 m = $0.8 million

4. 126 = 2/3c c = $189

5. p – 0.60p = 32 p = $80

6. 2/3p – 25 = 115 p = $210

7. 2h – 175 = 755 h = 465 home runs

SWBAT… solve multi-step equations

Agenda

1. Equations on tablets (45 min)

Warm-Up. Solve:

1. Take out HW4/HW5

Reminder: HW-Back of agenda due tomorrow!

Wed, 8/31

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

934

p

4/15

w =

4

1

3

2w

12

5

5/15

a = 2

24

16

3

a

6/15

k = 12

5

3

3k

9

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

3

1

6

5

6

1

3

2 qq

2

1q

10/15

6(3a + 1) – 30 = 3(2a – 4)

a = 1

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

b = y – mx

Solve for mm = (y – b)/x


Given P = 2l + 2w solve for w

w = (P – 2l)/2


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

Agenda 1. WU (10 min)2. Equations: no solutions or infinite (20 min)3. Practice: HW#7 (15 min)

Warm-Up:

1. Pick up your HW from the front table2. Turn in back of agenda in blue folder

3. Solve for y:

HW#7 – Eqns with no solutions or infinite solutions and HW#8: Multi-step eqns

Thurs, 9/1

Kalo Mina!

2y

55

y

4

Topic: Solving equations with no solutions and infinite solutions

Solve the following equations:1. 5x + 5 = 3(5x – 4) – 10x2. -5(3 – q) + 4 = 5q – 11

HW#7 – Eqns with no solutions or infinite solutions and HW#8: Multi-step eqns

SWBAT… solve equations with no solutions or infinite solutions

Agenda 1. WU (15 min)2. Review HW#6/7 (15 min)3. Applications of linear equations (15 min)

Warm-Up: Solve each equation:1.

2. 4x + 6 = 6(x + 1) – 2x3. x + 3 = x + 1

HW8: Applications of linear equations

Tues, 9/6

45

8

2

3nn

HW#6-No Solutions & Infinite Solutions Answers

1. No Solution

2. No Solution

3. Infinite Solutions or All Numbers

4. No Solution


6. No Solution


8. No Solution

HW#7-Multi-Step Equations Answers

1. Infinite Solution or All Numbers

2. Infinite Solution or All Numbers

3. No Solution


5. b = -2

6. y = -4/3

7. m = 15

8. No Solution

Applications of Linear EquationsSelecting 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 OffThe 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.

Documents

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