Distributive Property and Combine Like terms

What are terms? 2x-3y+8

Terms in an algebraic expression are variable, numbers or a combination of variables and numbers separated by operators

• Operators are +, -, x, and / symbols​

• How many terms do we have? 3​

• What are the terms? 2x, -3y, +8​

Combining like terms lesson 3

Multiple Choice

A term can be made up of which of the following?

• a number
• a variable
• a coefficient with a variable
• all of the above

Multiple Choice

How many terms are in the algebraic expression?

[hint: terms are separated by operators]

2y + x + 4 + y²

• 4

• 3

• 5

• 2

What are like terms?

​For example 6x-4+3-5x

Like terms are 6x-4+3-5x

The sign in front of the term is crucial!!!​

Like terms are terms that have the same variables and raised to the same powers

Some text here about the topic of discussion

How do we combine like terms?

​For example 6x-4+3-5x

Like terms are 6x-4+3-5x

Add the terms ​6x+(-5x)+(-4)+(+3)

The sign in front of the term is crucial!!!​

1. Use circles, underlines, or a highlighter to identify like terms INCLUDING THE SIGN IN FRONT OF IT

2. Combine the terms by adding like terms together

Some text here about the topic of discussion

Multiple Choice

Simplify and combine like terms: 10x-3+2x

• 12x-3

• 8x-3

Multiple Choice

Combine and Simplify the expression: 7x+5-5+10x

• 3x+0

• 17x+0

• 0

Multiple Choice

Simplify the Expression.

• 13

• 5

• 5x

• 13x

Multiple Choice

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Multiple Choice

Combine like terms
3x + 2x + 11y - 7y

• 5x + 10y
• 5x - 4y
• 5x + 4y
• 5x -10y

Multiple Choice

3x-5x

• 2x
• 8x
• -2x
• 15x²

The Distributive Property

• The distributive property allows us to multiply each term inside parentheses by the number outside the parentheses. 

• 4(3 + 4) = 4(3) + 4(4)

Using Variables

• Multiply 5 times x

• Multiply 5 times 6

• We multiply the outside number by all terms on the inside of the parentheses.

Multiple Choice

Which is equivalent to 5(a + 6)?

• 5a + 6

• a + 30

• 5a + 30

• 5a - 30

Multiple Choice

2(4k + 7)

• 4k-9

• 4K+9

• 8k-14

• 8k+14

Multiple Choice

Simplify 5(2 - 7n)

• 52 - 57n

• 10 - 7n

• 10 - 35n

• 10 + 35n

Multiple Choice

Which expression is equivalent to $$6x+24$$  ?

• $$6\left(x+24\right)$$  

• $$6\left(x\right)+6\left(4\right)$$  

• $$x\left(6+24\right)$$  

• $$30x$$  

Multiple Choice

Simplify
14(b – 10).

• 4b
• b – 140
• 14b – 140
• 14b – 10

Multiple Choice

3 + 8(x − 4)

3 + 8x - 32

What are the like terms?

• 3 and 8x

• 8x and -32

• 3 and - 32

Multiple Choice

Simplify by using the Distributive Property:

9(x - 1) - 7x

• 2x - 9

• 2x - 1

• x

• 9x - 8

Multiple Choice

Which of the following is equivalent to 8(5f - 7) + 3f ?

• 43f - 7

• 37f - 56

• 43f - 56

• 43f + 56

Multiple Choice

-2(3x + 5) + 6x

• -12x - 5

• 10

• -12x - 10

• -10

Multiple Choice

Simplify the following expression:

2x + 7(x - 5) - 4

• 9x + 20

• 9x + 31

• 9x - 31

• 9x - 39

Multiple Choice

-3(2c - 5)

• -6c - 15
• -6c + 15
• 6c + 15
• 6c - 15

Multiple Choice

Apply the distributive property

-(2x + 3)

• -2x - 3

• 2x +3

• -3 + 2x

• -2x+ 3

Multiple Choice

Which of the following is equivalent to -8 - 9(2x + 5)?

• -18x - 85

• -18x - 53

• 18x - 53

• 18x + 37

Multiple Choice

Simplify:
3(9 + 2d) + 4d 

• 18d+10d
• 18d-10d
• 27+10d
• 37d

Multiple Choice

(b + 8)5

• b + 40
• 5b - 40
• 5b + 40
• 5b + 8