Like Terms and Simplifying

I can simplify an expression by combining like terms

Lesson 3​

Multiple Choice

Translate: w increased by 5

• w - 5

• 5w

• w + 5

• w / 5

I can simplify an expression by applying the distributive property and combining like terms

Lesson 3​

Multiple Choice

Translate: 5 less than the product of 7 and s

• 7s - 5

• 5 - 7 + s

• 7(s - 5)

• 5 - 7s

Multiple Choice

What are we learning today?

• distributive property

• GEMDAS

• combining like terms

• exponents and powers

Multiple Choice

What does "product" mean?

• Multiply
• Divide
• Add
• Subract

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

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 8 - 4m
• 8m - 4
• 8m + 4
• 4m - 8

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

What word phrase can you use to represent "5x + 2"?

• five times the sum of a number x and two
• two times the sum of a number x and five
• a number x times the sum of five and two
• the sum of five times a number x and two

Multiple Choice

How many terms are in the algebraic expression?

[hint: terms are separated by operators]

2y + x + 4 + y²

• 4

• 3

• 5

• 2

Multiple Choice

Simplify the expression: 2x + 1 + 7x 

• 10x
• 10
• 9x + 1
• 9 + 1x

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

Multiple Choice

Simplify the expression: 7v + 2 + 12 + 2v

• 23
• 23v
• 9 + 14v
• 9v + 14

Fill in the Blanks

What are like terms? Like terms are terms that contain the same v______ raised to the same p____.

Multiple Choice

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

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

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

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

Open Ended

Combine the like terms

-3x-2+4x+5

Multiple Choice

Simplify: 5e + 7e - 10e + 9e

• 31e

• 21e - 10e

• 11e

• 12e + 9e

What is a "like term"?

Like terms are

• terms that ​have the same variable AND

• raised to the same power​​

• a term that is just a number without a variable is called a constant

combining like terms lesson 3

Multiple Choice

– 9r³ + 2r – 5r³ + 3 – 20r

• -4r³ - 18r + 3
•  -14r³ - 18r + 3
•  -14r³ + 18r + 3

Multiple Choice

$$2x-3y+8$$  

How many terms are in the expression?

• 1

• 2

• 3

• 0

Multiple Choice

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

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

Multiple Choice

y + x + y + y + x 

• 2 + 3 
• x + y 
• 2x + 3y 
• 5xy 

Multiple Choice

Simplify the following expression:
-10x + 15 - 3x + 2

• 13x² + 17
• -13x² + 13
• -13x + 17
• -7x + 17

Multiple Choice

Simplify   2(3x + 5)

• 6x + 10
• 23x + 5
• 6x + 5
• 11x

Multiple Choice

Expand using the distributive property

-2(3x + 4y + 1)

• -6x + 8y + 2

• -6x - 8y + 2

• -6x - 8y - 1

• -6x - 8y - 2

Multiple Choice

Seven increased by the product of three and a number.

• 7 / 3x

• 3x + 7

• 7 + 3x

• 3(x + 7)

Multiple Choice

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

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

Multiple Choice

x² - 9

• nine less than a number doubled

• double a number decreased by nine

• the square root of a number minus nine

• nine less than a number squared

Multiple Choice

Simplify the following expression by combining like terms:
3(2x - 4) + 6x - 1

• 12x - 13
• 12x - 5
• 11x - 2
• -x

Multiple Choice

3(x + 5)

• the product of three and a number increased by 5

• three times a number plus five

• the product of three and a number increased by 5

• triple a number and five

Multiple Choice

Simplify the following expression:
-10x + 15 - 3x + 2

• 13x² + 17
• -13x² + 13
• -13x + 17
• -7x + 17

Multiple Choice

the quotient of the cube root of a number and two

Multiple Choice

Simplify the following expression:
-10x - 9x + 1

• -19x + 1
• -19x² + 1
• -10x - 8
• -19x - 1

Multiple Choice

the absolute value of a number increased by four is ten

Multiple Choice

Simplify:
4(8x + 1) - 6(1 - 8x)

• -80x - 2
• 80x + 2
• -80x + 2
• 80x - 2

Multiple Choice

• a number decreased by seven is at most three

• seven less than a number is less than three

• a number decreased by seven is at least three

• seven less that a number is greater than three

Multiple Choice

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

• 43f - 7
• -13f
• 43f - 56
• 40f -7 + 3f

Multiple Choice

Simplify: 7j + 3k + 10j - k

• 3j + 4k

• 17j + 2k

• 19jk

• Can't be simplified

Multiple Choice

-7 + 5x - 3x - 12x

• 10x - 7

• -10x - 7

• -10x + 7

• 10x + 7

Multiple Choice

Simplify by combining like terms:

$$7f+8g+4f+3f+6f+2g$$  

• $$20f+11g$$  

• $$21f+10g$$  

• $$20f+10g$$  

• $$22f+10g$$