TODAY

'Twas the day before Finals....

Warm-Up/Review for Final Exam

RatiosCW 2.8

January 14, 2016

x = 9, x1 = 11, x2 = 16

Final Exam Review1. A 36 foot rope is cut into three pieces.

The first piece is 5 feet shorter than the longest, while the other piece is 2 feet shorter than the first. How long is each piece?

x - 2

x + 1

x +

5 P = 43

The dimensions of a triangle are shown. What are the lengths of each side of the triangle?

Find the solution(s) to the following:

Final Exam Review

Final Exam Review

Write the number nine as a fraction with a denominator of four.

The reciprocal of divided by The reciprocal of 5 =

(The opposite of - ) – (The opposite and reciprocal of - 6) =

Practice Problems

SectionOf Note book

Scales

: Simplify the folowing ratios: Remember, ratios are a

comparison of whole numbers

Ratios

3 : 3 : 8 Try simplifying these ratios:

The ratio of the number of bones in a human’s ears to the number of bones in the skull is 3:11. There are 22 bones in the skull. How many bones are in the ears?

Write a ratio comparing bones in ears to bones in skull.

Write a proportion. Let x be the number of bones in ears.Since x is divided by 22, multiply both sides of the equation by 22.

There are 6 bones in the ears.

Ratios

The ratio of games lost to games won for a baseball team is 2:3. The team has won 18 games. How many games did the team lose?

The team lost 12 games.

Write a ratio comparing games lost to games won.

Write a proportion. Let x be the number of games lost.

Since x is divided by 18, multiply both sides of the equation by 18.

Ratios

The ratio of games lost to games won for a baseball team is 2:3. The team has played 45 games. How many games did the team lose?

The team lost 18 games.

Write a ratio comparing games lost to total gamesWrite a proportion. Let x be the number of

games lost.

Ratios

Solving Ratio Problems1. Chas and Dave share 60 Magic Wizard

Cards in a 2:3 ratio. How many cards does each receive?

2. $1225 is shared in a 3:4 ratio. How much does each person receive? (Be careful when setting up proportion)

3. The ratio of Freshmen to Seniors at MHS has been right around 5:3 for a number of years. If there are 510 freshmen, how many can we expect to graduate?

Chaz, 24 & Dave, 36

Person 1: $525 Person 2: $700

306

3 7

= x_1225

5 3

= 510 x

Finding the Unit Rate

1. A 64 oz. Apple Juice costs $1.35. Find the unit rate.

2. A 12 slice pizza costs $9.00. Find the unit rate.3. A pipe leaks 40 gallons of water every hour. How long does it take to leak one gallon?

Which unit, (oz. or $) do we want to reduce to 1?

CW 2.8

Solving Unit Rate ProblemsUnit rates are rates in which the second quantity is 1.

Unit rate: 30 miles, 1 hour

or 30 mi/(1)h

The ratio 903

can be simplified by dividing:

903

= 301

A driver travels 90 miles in 3 hours. What is the unit rate?

𝒅𝒓𝒂𝒘𝒊𝒏𝒈 (𝒊𝒏 .)𝒂𝒄𝒕𝒖𝒂𝒍 (𝒇𝒕 .)

Scale1 in. = 2.5

ft.Set up your

proportions firstLength Height = =