Unit 3 Topic Review

Unit 3 Topic Review

Algebraic Expressions

Evaluating Expressions with Substitution

• Plug (replace variable with given #)

• Chug (Follow GERMDAS..... AKA Order of Operations)

Multiple Choice

Evaluate when k=4.

 $18-k^2$  

• 2

• 8

• 16

• 128

Multiple Choice

Evaluate when b=5.

 $3b-10$  

• -2

• 5

• 25

Multiple Choice

Evaluate when m=9 and n=3.

 $m^2\div\left(n+6\right)$  

• 84

• 33

• 15

• 9

Distributive Property

• Multiply outside # by FIRST term on inside of parenthesis

• Multiply outside # by SECOND term on inside of parenthesis

• Why do we use this? To create equivalent expressions.

Multiple Choice

Which expression is equivalent to 7(3+g)?

• 21 + g

• 10g

• 21 + 7g

• 21g

Multiple Choice

Which expression is equivalent to 6(p+5)?

• 6p+30

• 30p

• p+30

• 11p

Combining Like Terms (CLT)

• Must have the same variable and exponent with that variable to combine OR be plain #s (constants)

• Combine using the sign in the front of the term, if you don't need to distribute first.

• Why do we do this? To create equivalent expressions.

Multiple Choice

Are these Like Terms?

5xy and 6x

• Yes

• No

Multiple Choice

Are these Like Terms?

8b and 8c

• yes

• no

Multiple Choice

Are these Like Terms?

5x and 7x

• yes

• no

Multiple Choice

Are these like terms?

8ab and 12ab

• yes

• no

Multiple Choice

Are these like terms?

10 and 22

• yes

• no

Multiple Choice

Which expression is equivalent to

 $b+b+b+b$  ?

• 4b

• b + 4

•  $b^4$  

•  $b\div4$  

Multiple Choice

Which expression is equivalent to 4t + 3t?

• $7t^2$

• 7 + 2t

• 7t

• 12t

Multiple Choice

Which expression is equivalent to 9c + 12d + 2c?

• $18c^2+12d$

• 11c + 12d

• $11c^2+12d$

• 23cd

Multiple Choice

Which expression is NOT equivalent to 4k+12?

• 3k+4+k+8

• 3(k+3) + 3

• 4(k+3)

• 2(2k+5+2)