Ratios and Rate

Ratios and Rate

Presenter

Dr. Luis Bello

[e-mail]

Learning Objectives

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

Write a ratio as a fraction

Write a rate as a fraction

Find unit rates

Find unit price

Translate phrases to expressions with fractions

Ratios

A ratio compares two numbers or two quantities that are measured with the same unit. The ratio of a to bis written a to b, a/b, or a:b

Translate Phrases to Expressions with Fractions

Simplify and Use Square Roots

Learning Objectives

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

Simplify expressions with square roots

Estimate square roots

Approximate square roots

Simplify variable expressions with square roots Use square roots in applications

Multiple Choice

Solve for x if x² = 144.

• 12

• 11

• 4

• 14

Multiple Choice

Solve for x.

• x = 4/3

• x = 9/4

• x = 9/16

• x = 3/16

Multiple Choice

Between which two whole numbers is the 
√20 ?

• 5 and 6
• 10 and 2
• 4 and 5
• 3 and 4

Multiple Choice

The square of a number having 1  at the units place ends in 

• 1
• 9
• 0
• 2

Multiple Choice

Simplify  $\sqrt{242}$  

•  $2\sqrt{11}$  

•  $11\sqrt{2}$  

•  $4\sqrt{23}$  

•  $2\sqrt{11}$  

Multiple Choice

Simplify  $\sqrt{84}$  

•  $4\sqrt{21}$  

•  $2\sqrt{21}$  

•  $21\sqrt{2}$  

•  $21\sqrt{4}$  

Multiple Choice

Simplify  $\sqrt{45}$  

•  $9\sqrt{5}$  

•  $5\sqrt{9}$  

•  $3\sqrt{5}$  

•  $5\sqrt{3}$  

Multiple Choice

13² = ______

• 225
• 196
• 169
• 166

Multiple Choice

2² = _____

• 2
• 6
• 4
• 16

Multiple Choice

In the computer lab, there are 1 PC for every 5 Mac computers. If the computer lab has a total of 24 computers, how many are Mac?

• 20
• 6
• 5
• 10

Multiple Choice

Jose swims 3 laps in a pool every 2 minutes. How long would it take him to swim 27 laps?

• 8 minutes
• 9 minutes
• 16 minutes
• 18 minutes

Multiple Choice

What is a Ratio?

• Is a comparison of two quantities 
• A rate with a denominator of one
• It is when the only factor the numerator and denominator share is a one 
• Two decimals that can be multiplied

Multiple Choice

Which is NOT equivalent to 3:5?

• 15:25
• 9:15
• 21:28
• 30:50

Multiple Choice

In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?

• 35
• 60
• 18
• 50

Multiple Choice

Express the ratio as a fraction in simplest form:

18 ounces to 3 cups

• 6 to 1

• 1/6

• 18/3

• 3/18

Multiple Choice

Express the ratio as a fraction in simplest form:

18 ounces to 3 cups

• 6 to 1

• 1/6

• 18/3

• 3/18