Simplifying Expressions

Simplifying Expressions

​Applying the Distributive Property and the Commutative Property to simplify algebraic expressions.

​Examples:

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​Non-Examples:

When they are "like terms" you can combine (add) them

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​Examples:

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​Non-Examples:

When they are "like terms" you can combine (add) them

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Multiple Choice

Which of the following is equivalent to $$8m\ -10m$$  

• $$2m$$  

• $$18m$$  

• $$-2m$$  

• $$180m$$  

Multiple Choice

Which of the following expressions is equivalent to $$5x\ +\ 9x$$  ?

• $$-4x$$  

• $$45x$$  

• $$14x^2$$  

• $$14x$$  

Multiple Choice

Which of the following is equivalent to  $$12xy\ -3\ +4xy\ -xy\ +5$$  

• $$15xy+2$$  

• $$16xy+8$$  

• $$17x^2y$$  

• $$17xy+8$$  

Fill in the Blanks

Which property tells is that $-9x-2+4x+8\ =\ -5x+6$  ?

​Distribution...

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​Take the number outside the parentheses and multiply it by EACH TERM inside the parentheses.

Multiple Choice

Which of the following is equivalent to the expression 3(x+7)

• 3x+7

• 3x+10

• 3x+21

• 3x+4

Multiple Choice

Which of the following is equivalent to $$9\left(2x+3\right)$$  ?

• $$11x+12$$  

• $$18x+27$$  

• $$18x+3$$  

• $$9x+3$$  

Multiple Choice

Which of the following is equivalent to  $$-3\left(x-4\right)$$  ?

• $$-3x+12$$  

• $$-3x-12$$  

• $$-3x-7$$  

• $$-3x+7$$  

​What if you need to do both?

Multiple Choice

Which of the following is equivalent to $$3\left(x+4\right)+8x$$  ?

• $$11x+4$$  

• $$11x+12$$  

• $$15x$$  

• $$23x$$  

Multiple Choice

Which of the following is equivalent to  $$12\left(x+2\right)-2x$$  

• $$14x+24$$  

• $$10x+2$$  

• $$10x+24$$  

• $$12x$$  

Multiple Choice

Which of the following is equivalent to  $$-5\left(x-8\right)+2$$  

• $$-5x-6$$  

• $$-5x-38$$  

• $$-5x-10$$  

• $$-5x+42$$  

Poll

Mya says the expressions are equal. Is she correct?

• Mya is CORRECT.

• Mya is INCORRECT.

Multiple Choice

Which of the following is equivalent to  $$19x-3\left(x+4\right)$$  

• $$16x-12$$  

• $$16x+12$$  

• $$4x$$  

• $$20x$$  

Multiple Choice

Which of the following is equivalent to  $$9-3\left(x-2\right)$$  

• $$6x-2$$  

•   $$-3x-7$$  

• $$12x$$  

• $$-3x+15$$  

Multiple Choice

Which of the following expressions is equivalent to  $$5+2\left(x-7\right)+5x$$  

• $$7x-2$$  

• $$7x-9$$  

• $$5x$$  

• $$19x$$  

Multiple Choice

Which of the following is equivalent to  $$2\left(x+8\right)+3\left(2x+4\right)$$  

• $$7x+17$$  

• $$8x+24$$  

• $$19x$$  

• $$36x$$