Warm Up work with your seat partner to simplify the following equations HW check.

Warm Up – work with your seat partner to simplify the following equations

HW check

Find your “like term” partners

• Exploration #1

S = sum of the angle measures

n = number of sides

Set up the equation to solve for x:

x = 12

Work with a partner. The sum S of the angle measures of a polygon with n sides can be found using the formula Write and solve an equation to find each value of x.

S=180X=12

S=180X=50

S=360X=52

S=360X=75

S=540X=20

S=720X=40

1.2 Solving Multi-Step EquationsToday’s learning goal is: Students will be able

to solve and use multi-step equations

Vocabulary RecallInverse Operations: two operations that undo each other (i.e. addition and subtraction)

Mean: the sum of the data divided by the number of data values

Examples

1) Solve:2.5 13 2x

2.5 13 13 2 13x

2.5 15x

2.5 152.5 2.5x

6x

Use the inverse operation of subtraction (additionion)

Combine like terms

Use the inverse operation of multiplication (division)

Examples

2) Solve:12 9 6 15x x

Simplify first!!

Combine like terms on the

right!

12 3 15x

12 15 3 15 15x

27 3x 27 33 3

x

9 x

Combine Like Terms

Use the inverse operation of addition (subtraction)

Combine Like Terms

Use the inverse operation of multiplication (division)

You try!

1.) 2.) 2 3 9n

2 3 3 9 3n

2 6n

2 62 2n

3n

2 10 12 18x x

12 12 18x

12 12 12 18 12x

12 6x

12 612 12x

12

x

Another Example!

3.) 2(1 ) 3 8x

2 2 3 8x

2 5 8x

2 5 5 8 5x

2 13x 2 132 2x

6.5x

Distributive Property

Combine Like Terms

(inverse operation) subtract the 5 from both sides

Combine Like Terms

(inverse operation) divide both sides by -2

You try!

3.) 5(3 ) 2(3 ) 14x x

15 5 6 2 14x x

7 21 14x

7 21 21 14 21x 7 7x

7 77 7x

1x

Solving Real Life Problems

Use the table to find the number of miles x you need to bike on Friday so that the mean number of miles biked per day is 5.

What is

mean?

How do you

find the

mean?

Day MilesMon 3.5Tues 5.5Wed 0Thu 5Fri x

3.5 5.5 0 5 55

x

14 55x

14 25x

14 14 25 14x

11x

(5) 14+𝑥5 =5(5)1

You try!Your schools drama club charges $4 per person for

admission to a play. The club borrowed $400 to pay for costumes and props. After paying back the loan, the club has a profit of $100. How many people attended the play?

amt per person · (the number of people that attend) – loan = profit 4 · x - 400 = 100

4x – 400 = 1004x – 400 + 400 = 100 + 400

4x = 500

x=125 people

4 5004 4x

Workbook p. 10 & 11 with your “like terms” partners

*each student does and shows the work in their own workbook – your partners are there to help you!

Exit Ticket!