1. SWBAT… solve two-step equations
Wed, 9/21
SWBAT… solve two-step equations
Agenda
Warm-up (10 min)
Review hw#3 (30 min)
Exit slip (5 min)
Warm-Up.
1.) Re-do the quiz problems you got wrong on the back of the quiz. Also, do the extra credit problem.
HW#4 – Mulit-step equations

2. 1.)
2.)

3. SWBAT… solve multi-step equations
Thurs, 9/22
SWBAT… solve multi-step equations
Agenda
Warm-up (10 min)
Review HW3 (15 min)
Solving multi-step equations w/ distr property and CLT: 4 problems (20 min)
Warm-Up.
1.) If evaluate 4 – x
2.) Solve for x:
3.) Find three consecutive even numbers with a sum of 72
HW#4 – Multi-step equations
x = -11
4 – x
4 – (-11) 15
2. Subtract 6 from both sides
Multiply both sides by 7
x = -63
(x) + (x + 2) + (x + 4) = 72
3x + 6 = 72
3x = 66
x = 22
The three consecutive numbers are 22, 24, 26.

4. SWBAT… solve multi-step equations
Fri, 9/23
SWBAT… solve multi-step equations
Agenda
Warm-up (15 min)
Review /work on hw#4 (20 min)
Warm-Up:
1.) 5(g + 8) – 7 = 103
2.)
HW#4 – Multi-step equations

5. g = 14 1.) 5(g + 8) – 7 = 103 Solve each equation: List the steps:
HW#4-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

6. k = 12 2.) Solve each equation: List the steps: HW#4-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
1.) m = -12
2.) b = 1
3.) g = 14
4.) k = 12
k = 12

7. 1.) Multiply both sides of the equation by 6
To remove fractions from an equation:
Multiply both sides of the equation (EVERY TERM) by the least common denominator

8. b = 1 b – 8b + 1 = -6 Solve each equation: List the steps:
HW#4-Multi-Step Eqns
1. CLT: b – 8b = -7b
2. Subtract 1 from both sides
3. Divide both sides by -7
1.) m = -12
2.) b = 1
3.) g = 14
4.) k = 12
b = 1

9. m = -12 -(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:
-(m + 1) = 11
HW#4-Multi-Step Eqns
1. Distribute the -1
2. Add 1 to both sides
3. Divide both sides by -1
1.) m = -12
2.) b = 1
3.) g = 14
4.) k = 12
m = -12

10. 1.) -6b + 1 = -3 + 2b 2.) 2(r + 4) – 2 = (12r + 18) Warm-Up:
Tues, 9/26
SWBAT… solve multi-step equations with variables on both sides including fractions
Agenda
Warm-up (10 min)
Two equations with fractions (15 min)
Review / work on hw#4 (10 min)
Warm-Up:
1.) -6b + 1 = b
2.) 2(r + 4) – 2 = (12r + 18)
Back of LAST week’s agenda (week 7) (great practice for tomorrow’s quiz)
1.) b = ½
2.) r = -1

11. x = 40 3.) Solving linear equations involving fractions
Multiply both sides of the equation by 10 (each term)
3.) x = 40
x = 40
To remove fractions from an equation:
Multiply both sides of the equation (each term) by the least common denominator

12. Solving linear equations with variables on both sides involving fractions
4.)
Multiply both sides of the equation by 12 (each term)
x = 1
x = 1
To remove fractions from an equation:
Multiply both sides of the equation (each term) by the least common denominator

13. SWBAT… solve multi-step equations
Wed, 9/28
SWBAT… solve multi-step equations
Agenda
WU (10 min)
Geometry problem with equations (5 min)
Review HW#4 & back of agenda (10 min)
Quiz (20 min)
Warm-Up: Solve:
1.) ½(12n – 4) = -( n)
2.)
1.) n = 1
2.) n = 40 13

14. Find the value of x so that the two rectangles have the same area.14 16
x – 3
x = 24
Area of each figure: 336 u2 x
14(x) = 16(x – 3)
x = 24

15. Extra Credit: Complete on the back
Solve for y:

16. Homework over October break
Back of this week’s agenda – week 8: Application of Linear Equations (see “PPT7-Application Equations” for examples)
HW#6-Solving Algebraic Equations – No Solutions & Infinite Solutions (try it – see examples. Google “no solution equations”)
HW#7-Multi-step equations
HW#9 - Expressions & Equations Take Home Study Guide (Equations Test is the Friday after October break)

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

18. 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

19. 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.

20. 1/15
What is the one country you would like to visit?

21. 2/15
a = 2

22. 3/15
-(a + 1) = ¾
a = -1¾ or -7/4

23. 4/15
p = 48

24. 5/15
k = 12

25. 6/15
x = 1

26. 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

27. 8/15
3(2k – 2) = -2(4k – 11)
k = 2

28. 9/15

29. 10/15
6(3a + 1) – 30 = 3(2a – 4)
a = 1

30. 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

31. 12/15
x = 40

32. 13/15: Literal Equation
Given d = rt for t
t = d/r
Solve for r
r = d/t

33. Given y = mx + b solve for b
14/15: Literal Equation
Given y = mx + b solve for b
b = y – mx
Solve for m
m = (y – b)/x

34. 15/15: Literal Equation
Given P = 2l + 2w solve for w
w = (P – 2l)/2

35. Literal Equation
Solve 8x – 2y = 10 for y
y = 4x – 5