Lesson 2.1-Lesson 2.3

Lesson 2.1 - Lesson 2.3

By Reed Carbone

Definitions:

Like Terms: Like terms are terms that share the same variable. We can combine like terms by​ adding the coefficient (the number in front of the variable).

Ex: 2x and 5x would become 7x. 3y and ​2x cannot be combined because they have different variables.

​Distributive Property: The distributive property allows us to multiply a number outside the parenthesis by both numbers inside the parenthesis.

Ex: a (b + c) = ab + ac or 2(x + 5) = 2x + 2(5) = 2x + 10​

​How to solve by combining like terms:

3x + 5x + 2x = 100

​

​

​w + 0.5w - 0.25w - 0.25w + 6w = 49

​

​

​-3m + 5m - 2m + 15m + 20 = 50

​

​

Multiple Choice

Solve for x:

3x + 2x + x = 18

• x = 18

• x = 3

• x= 5

• x = 6

​How to solve when variables are on both sides:

2x + 5x - 10 = 8x - 20

​

​

​14y - 3 = 23y + 24

​

​

11w - 5w + 7 = -5w - 114​

​

​

​How to solve with distributive property:

2(x + 5) = 100

​

​

​3(4x + 5) - 15 = 10x - 12

​

​

x(4 + 5) - 6x = 4(3x - 5) - 7​

​

​

Multiple Choice

Solve for y:

y + 12y - 8y - 3y - 14 = -4y - 4y + 86

• y = 14

• y = -3

• y = 10

• y = 100

Multiple Choice

Solve for m:

10(m + 12) = 140

• m = 5

• m = 10

• m = 3

• m = 2

Multiple Choice

Solve for t:

4(t - 5) = 3(t - 6)

• t = 5

• t = 3

• t = 6

• t = 2

Open Ended

Solve for w:

3(w - 9) - 3 = 4(2w + 8) + 8

​Conclusion: 2 complete sentences about what you have learned.​