Combining Like Terms

Combining Like Terms

I can simplify variable expressions

‘Combining like terms’ is something we do to simplify an expression. In order to combine different terms together, they need to be ‘like’. 

So, what does it mean for terms to be ‘like’? They need to represent the same information

Multiple Choice

Combine like terms for the following expression:

$$3x\ +\ 16\ +\ 5x$$  

• $$24x$$  

• $$8x\ +\ 16$$  

• $$24$$  

• $$8x$$  

Multiple Choice

Combine like terms for the following expression:

$$19\ +\ 8x\ -\ 7$$  

• $$20x$$  

• $$19\ +\ x$$  

• $$8x\ +\ 26$$  

• $$8x+12$$  

Multiple Choice

Combine like terms for the following expression:  $$-12x\ +\ 6x\ -\ 12$$  

• $$-6x-12$$  

• $$-6x+12$$  

• $$-18x-12$$  

• $$30x$$  

Multiple Choice

Distribute, THEN simplify by combining like terms:  $$4+6\left(3x+2\right)$$  

• $$30x+20$$  

• $$4+18x+12$$  

• $$22x+16$$  

• $$18x+16$$  

Multiple Choice

A coefficient is __________.

• the variable
• a constant
• an exponent
• the number that comes before the variable

Multiple Choice

Simplify: x + 3x + 6x + x

• 9x

• 11x

• 2x + 9x

• Can't be simplified

Multiple Choice

Simplify: 4q + 4t + 3q + t

• 12tq

• 3q + 4t

• 7q + 5t

• Can't be simplified

Multiple Choice

Simplify: 10w + 3d + 3w + d

• 13w + 4d

• 17wd

• 13w + 3d

• Can't be simplified

Multiple Choice

A number by itself with no variable attached is called a  _____.

• coefficient
• constant
• variable
• term

Multiple Choice

Which expression is equivalent to

v + v + v + v + v?

• 5v

• v⁵

• v + 5

Multiple Choice

Which expression is equivalent to  $$8c\ +\ 6\ -\ 3c\ -\ 2?$$  

• $$5c+4$$  

• $$5c+8$$  

• $$11c+4$$  

• $$11c+8$$