1.2-1.5 Quiz Review

1.2-1.5 Quiz Review

​1.2 - Variables and Expressions

• An expression is any combination of numbers and variables

  • ​Example:

• Use the Order of Operations to simplify expressions (PEMDAS)

• ​Evaluate expressions by plugging in the value if the variable that was given

  • ​Example:

Multiple Choice

Simplify the following operation using order of operations:  $$2\cdot3^2-6$$  

• 30

• 12

• 6

• 0

Multiple Choice

Determine the value of the expression given the value of the replacement variable:

$$\left(2x+2\right)^2,\ x=3$$  

• 32

• 16

• 100

• 64

​1.3 - Associative and Commutative Properties

• ​Associative Property of Addition

  • ​

• ​Associative Property of Multiplication

  • ​

• Commutative Property of Addition

  • ​

• ​Commutative Property of Multiplication

  • ​

Multiple Choice

How would you rewrite the following expression using the associative property: $$9\cdot\left(8\cdot2\right)$$  

• $$\left(9\cdot8\right)\cdot2$$  

• $$9\cdot8\cdot2$$  

• $$2\cdot9\cdot8$$  

• $$\left(9\cdot8\cdot2\right)$$  

Multiple Choice

How would you rewrite the following expression using the commutative property:  $$3+8$$  

• $$\left(3+8\right)$$  

• $$8+3$$  

• $$\left(3\right)+\left(8\right)$$  

​1.4 - The Distributive Property

• The Distributive Property of Multiplication

  • ​

• ​The Distributive Property of Division

  • ​

Multiple Choice

Use the distributive property for the following:

$$8\left(2x-4\right)$$  

• $$-16x$$  

• $$16x+32$$  

• $$16x-32$$  

• $$16x$$  

Multiple Choice

Use the distributive property for the following:

$$\frac{12x+21}{3}$$  

• $$3x+7$$  

• $$11$$  

• $$\frac{12x}{3}+\frac{21}{3}$$  

• $$4x+7$$  

​Equivalent Expressions

• ​Expressions are equivalent if they have the same value for every value of the substituted variable

  • ​

Multiple Choice

Find the equivalent expression to the following:  $$3\left(2x+5\right)-4$$  

• $$6x+11$$  

• $$6x+3$$  

• $$17$$  

• $$21x-4$$  

Multiple Choice

If a = 4 and b = 6, what is the value of 3a + 5b?

• 40
• 42
• 44
• 46

Multiple Choice

b(b + 12)
b = 2

• 28
• 14
• 144
• 24

Multiple Choice

Which one of the following illustrates the Commutative Law of Addition?

• 5 + 7 = 7 + 5

• 5 + 7 = 4 + 8

• 5 + 7 = 3 + 9

• 5 + 7 = 10 + 2

Multiple Choice

Evaluate the expression: x + 2 when x = 6

• 8
• 4
• 12
• 10

Multiple Choice

9 ^_x 2 = 2 ^_x 9

• Commutative Property of Multiplication
• Associative Property of Multiplication
• Multiplicative Inverse Property
• Distributive Property

Multiple Choice

4a + 9 + a

• 5a + 9
• 14a
• 3a + 9
• 5a - 9

Multiple Choice

Identify the Property:

6 + (21+3) = (6+21) +3

• Commutative Property

• Distributive Property

• Inverse Property

• Associative Property

Multiple Choice

Simplify the expression:
6 + 2(7x - 3) 

• 12 + 7x
• 14x
• 14x + 3
• 9 + 7x

Multiple Choice

Which of the following illustrates the Commutative Law of Multiplication?

• 3 x 4 = 6 x 2

• 3 x 4 = 12 x 1

• 3 x 4 = 2 x 6

• 3 x 4 = 4 x 3

Multiple Choice

True or False:
u³and u² are like terms.

• True 
• False