The Properties of Real Numbers

The Properties of Real Numbers

Learning Objectives

By the end of this section, you will be able to

Simplify expressions using the distributive property

Evaluate expressions using the distributive property

Multiple Choice

Find the simple interest earned for principal of $2,000 at and 8% rate for 5 years.

• $160

• $800

• $80,000

• $16

Multiple Choice

Find the simple interest earned when the principal is $500 at a rate of 10% held in the bank for 8 months.

• $33.50

• $40,000

• $50

• $400

Multiple Choice

Find the simple interest paid on a loan of $750 with an 18% rate over 2 years.

• $135

• $13,500

• $270

• $27,000

Multiple Choice

Find the simple interest paid on a loan of $1,500 at a rate of 19% 15 months.

• $356.25

• $427,500

• $4,275

• $285

Previous Class was about Percent.

Problems on Percent.

Multiple Choice

Jennifer has a coupon for 25% off her entire meal of $17.89. What is the discount?

• $13.42
• $4.47
• $4.48
• $0.44

Multiple Choice

The romantic couple went out for dinner. They spent $78.89 for dinner. Tax was 8% and the tip was 20%. What was the total bill?

• $6.31
• $15.78
• $78.89
• $100.90

Multiple Choice

Michael spent $210 on school supplies and books. This amount was 30% of his savings. How much was his savings?

• $700
• $63
• $630
• $763

Multiple Choice

The sales tax on a new car is $979.60. The car sold for $15,800. What is the sales tax rate? 

• 5%
• 0.062
• 6.2%
• 62%

Multiple Choice

A waitress recieved a 15% tip. If her tip was $8.25 how much was the bill?

• $1.23
• $55
• $16.50
• $1.24

Multiple Choice

Solve: $$2(2+2c)$$

• $$4\ +\ 4c$$  

• $$8c$$  

• $$2\left(4c\right)$$  

• $$2c$$  

Multiple Choice

Solve: $$-6\left(2y+4\right)$$  

• $$12y+24$$  

• $$12y-24$$  

• $$-12y+24$$  

• $$−12𝑦−24$$  

Multiple Choice

$$2\left(x+3\right)$$  

• $$2x+3$$  

• $$2x+6$$  

• $$7x$$  

• $$x+5$$  

Multiple Choice

$$3\left(n+2n\right)$$  

• $$6n$$  

• $$9n$$  

• $$7n$$  

• $$9$$  

Multiple Choice

Solve: $$4\left(4+2\right)$$  

• $$16+4\ =\ 20$$  

• $$8+4\ =12$$  

• $$16+8\ =\ 24$$  

• $$8+2=10$$  

Properties of Identity, Inverses, and Zero

Properties of Identity, Inverses, and Zero

Recognize the identity properties of addition and multiplication

Use the inverse properties of addition and multiplication

Use the properties of zero Simplify expressions using the properties of identities, inverses, and zero

Multiple Choice

Simplify the expression
-3(2 - 6) - (4 + 5) - 1

• 1
• -1
• -19
• -22

Multiple Choice

Solve for t:
2(2t - 3) = 6(t + 2)

• t=9
• t=4
• t=-9
• t=-3

Multiple Choice

Identify the property.
(4y + 1) * 0 = 0

• Commutative Property of Addition
• Commutative Property of Multiplication
• Multiplicative Property of Zero
• Inverse Property of Multiplication

Multiple Choice

Identify the property 
a + (-a) = 0

• Inverse of addition 
• Identity of addtion
• associative of addition 
• symmetric

Multiple Choice

Identify the property
a(b + c) = ab + ac

• Associative of addtion
• Distributive
• Commutative of addition
• Inverse

Multiple Choice

Identify the property
a + 0 = a

• identity of addition
• identity of multiplication
• inverse of addtion
• multiplication of zero

Multiple Choice

Pick the answer that is an example of the inverse property of multiplication

• 5 ⋅ 0 = 5
• 5 ⋅ 1/5 = 1
• 5 - 5 = 0
• 5 ⋅ 1 = 5

Multiple Choice

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

• commutative of multiplication
• identity of multiplication
• inverse of multiplication
• associative of multiplication

Multiple Choice

Identify the property
a + b = b + a

• Identity of addtion
• commutative of addition
• associative of addition
• symmetric

Multiple Choice

23 + 0 = 23

• Associative
• Commutative
• Identity

Multiple Choice

What property of addition takes a whole number and adds it with zero?

• Associative
• Commutative
• Identity

Multiple Choice

21 x 0

• 21

• 0