EOC Practice

24.

x + (2x + 0.15) + (x + 0.05) = 1.8Which of the following is the value of x?a)0.40b)0.45c)0.53d)0.96

25. 50(t – 1) = 30tWhat is the value of t?

26.27.

Just in case:The equation at the top is b = 24 – 2s Solve for s

Vocabulary:1. Ratios

2. Rates

3. Conversion

Topic: Ratios, Rates, and ConversionsEssential Question: How can I write ratios & unit

rates to compare quantities?

Name:Period:Date:

A ratio is the comparison of two numbers written as a fraction.

For example: Your school’s basketball team has won 7 games and lost 3 games. What is the ratio of wins to losses?

Because we are comparing wins to losses the first number in our ratio should be the number of wins and the second number is the number of losses.

The ratio is games won _________

games lost=

7 games _______ 3 games

=7__

3

RATIOS

A ratio makes a comparison. There

are 3 green aliens and 4 purple

aliens. The ratio of

green aliens to

purple aliens is

3 to 4.

RATIOS

A ratio makes a comparison. The

ratio of green aliens to total aliens

is 3 to 7. What is the

ratio of total aliens to

purple aliens?The ratio of total aliens to purple aliens is 7 to 4.

RATIOS

A ratio makes a comparison. Ratios

can be written in three different

ways.

3 to 4

3:4

4

3

1) You are shopping for T-shirts. Which store offers the best deals?

Store A: $25 for 2 shirtsStore B: $45 for 4 shirtsStore C: $30 for 3 shirts

2) Which is the better buy? Deal #1: $3.29 for 6 Bagels Deal #2: $4.15 for 8 Bagels

Could we apply this concept?

In a ratio, if the numerator and denominator are measured in different units then the ratio is called a rate.

A unit rate is a rate per one given unit, like 60 miles per 1 hour.

Example: You can travel 120 miles on 60 gallons of gas. What is your fuel efficiency in miles per gallon?

Rate = 120 miles________60 gallons= ________2 miles

1 gallon

Your fuel efficiency is 2 miles per gallon.

RATES

A rate is a ratio that compares quantities that

are measured in different units.

This spaceship travels at a certain speed. Speed is an example of a rate.

Speed can be measured in many different ways. This spaceship can travel

100 miles in 5 seconds. 100 miles in 5 seconds is a rate.

RATES

A rate is a ratio that compares quantities that

are measured in different units.

Rates are often written in fraction form.100 miles in 5 seconds is a rate.It can be written as…..

5

100 Miles

Seconds

RATES

A rate is a ratio that compares quantities that

are measured in different units.

One key word that often identifies a rate is PER.Miles per gallon, Points per free throw,Dollars per pizza, Sticks of gum per pack

Conversions

• Conversion factor – a ratio of two equivalent measures in different units that always equals one

Conversions:

How do you convert 330 minutes to hours?!?

15kg to grams --- convert to grams

5feet and 3 inches --- convert to inches

Hint:Big to SmallMultiply

Small to BigDivide

• How many centimeters are in 1 kilometers?

Conversions:

120 meters; cm

8 hr; min

How many inches are in 5yd 4ft?

5 mi; ft

120 min; s

Hint:Big to SmallMultiply

Small to BigDivide

Hint:Big to SmallMultiply

Small to BigDivide

Independent Practice:

80ft; yd

35 km; cm 23 days; hours

Car 1 drove 476 miles in 7 hours and Car 2 drove 438 miles in 6 hours during the cross-country road race. Who had the

fastest average speed?

Reference Sheet:

1 yard = 3 feet = 36 inches1 mile = 1,760 yards = 5,280 feet

1 acre = 43,560 square feet1 hour = 60 minutes

1 minute = 60 seconds

1 cup = 8 fluid ounces1 pint = 2 cups

1 quart = 2 pints1 gallon = 4 quarts

1 pound = 16 ounces1 ton = 2,000 pounds

1 liter = 1000 milliliters = 1000 cubic centimeters1 meter = 100 centimeters = 1000 millimeters1 kilometer = 1000 meters1 gram = 1000 milligrams1 kilogram = 1000 grams

Conversions

Hint:Big to Small --- MultiplySmall to Big --- Divide

• Reminder:Vocabulary Review, Summary, and

Left column questions

Wrap-up: