Review: Like Terms/Distribution

Review: Like terms, distribution, Order of Operations, Integers

Math A, October 15

Multiple Choice

What is the inverse (opposite) of addition?

• Addition

• Subtraction

• Multiplication

• Division

Adding Integers

Mismo signo: Suma Mantener la señal (-3) + (-3) = -6

Signo diferente: Restar Mantenga el signo del número más grande

Multiple Choice

Simplify -10 + -15

• 25

• -25

• 5

• -5

A negative next to a negative becomes:

Negative Numbers: A negative number is the opposite of a positive number Negative next to a negative means

3 - (-2)

Opposite (negative 2)

   3 + 2

Multiple Choice

Simplify

$$6-\left(-9\right)$$  

• -3

• 54

• -15

• 15

Multiplying Integers

Multiple Choice

Simplify:

$$-6\ \times\ -3\$$  

• -18

• 18

• 2

• -9

Dividing Integers

Multiple Choice

Simplify

$$36\ \div\ -4$$  

• -9

• 9

• 40

• -32

Order of Operations

P. Parenthesis

E. Exponent

M. & D. Multiply & Divide from left to right

A & S Add & Subtract from left to right

Multiple Choice

Evaluate the expression

$$4+(6÷2)$$  

• 5

• 7

• -7

• 8

Multiple Choice

Evaluate the expression

$$40÷2^2\ -\ \left(5\ \times\ 2\right)$$  

• 15

• 0

• 20

• -10

Combining Like Terms

Like terms have the same variable AND Exponents

Multiple Choice

Simplify the expression:

$$16m\ -4m\ +4m^2-16m^{ }$$  

• $$12m+4m^2$$  

• $$-32m$$  

• $$-4m\ +\ 4m^2$$  

• 0

Multiple Choice

Simplify the expression:

$$2\ +\ 8y\ +\ 3y\ -1$$  

• $$11y+1$$  

• $$10y+2y$$  

• $$12y$$  

• $$11y+3$$  

Distribution Property

Distribution Method

Let's not forget why we distribute: It's to show that you can multiply a number to all the terms inside of the parenthesis It's important to put the right signs when doing so.

• In the picture, you'll see that 4 was multiplied to both the x and the 3 inside of the parenthesis

• You can not combine "x" and 12 because they are not like terms

Multiple Choice

Simplify using the distributive property:

$$7\left(9-2\right)$$  

• $$7(-7)$$  

• $$\left(7\times9\right)-\left(7\times2\right)=69-14$$  

• $$\left(7\times7\right)+\left(7\times2\right)$$  

• -49

Multiple Choice

Simplify using the Distributive Property:

$$-2\left(3n\ +\ 4\right)$$  

• 14n

• $$6n\ -\ 8$$  

• $$-6n-8$$  

• -8

Multiple Choice

2(4x - 7)

• 8x + -14

• 8x-7

• 6x+7

• 8x+14

Multiple Choice

2(4 + 9w) 

• 8+9w
• 2+9
• 8+18w
• 2+9w