Concept 1060 Review

Concept 1060 Review

Review over 1060A - C

1060 Vocab

• Ratios

• Rates

• Unit Rates

• Proportions

• Percent

• Cross Multiply

Ratios

A comparison of two quantities. Can be represented three ways.

For example -

 $\frac{3}{4}$  , 3:4 , 3 to 4

Multiple Choice

Express the following ratio as a fraction reduced to lowest terms.

20 to 24

• $\frac{20}{24}$

• $\frac{10}{12}$

• $\frac{5}{6}$

• 20:24

Multiple Choice

Express the following ratio as a fraction reduced to lowest terms.

12 to 32

• $\frac{3}{8}$

• 4

• $\frac{12}{32}$

• 12:32

Rates

A comparison of different quantities with different units.

Example $3.79/16oz

Money and ounces

Unit Rates

A rate where a quantity is compared to one.

Example would be miles per 1 gallon.

33mi/galon

Multiple Choice

What is the reduced rate?

50 miles in 15 minutes

• $\frac{50\ miles}{15\ \min}$

• $\frac{10\ miles}{3\ \min}$

• 50 miles to 15 minutes

• 50 mi : 15 min

Multiple Choice

A supermarket was surveyed to find prices charged in various sizes. Find the best buy​ (based on the price per​ unit) for the item.

What is the best buy

• 16 ounces for $1.79

• 32 ounces for $3.62

• 48 ounces for $7.82

Conversions

Option #1 - Remember when converting you can set up a proportion with what you know to what you want.
Or
Option #2 - Remember our rule. From bigger measure to smaller measure MULTIPLY. From smaller measure to bigger measure DIVIDE.
Example: Convert 3 yards into feet (3 ft in 1 yard)

Option #1.                           

 $\frac{3yd}{1}\times\frac{3ft}{1}=9ft\$ 
Option #2
Going from big to small - Multiply  3yd x 3ft = 9ft

Proportion

2 Ratios set to equal each other

Cross Multiply

• A method for solving a proportion

• Bat and the Ball.

Percents

Per 100 (percent)

7% is 7/100

Multiple Select

An exercise machine with an original price of $952 is on sale at 20% off.

a. What is the discount​ amount?

b. What is the exercise​ machine's sale​ price?

• $104

• $190.40

• $761.60

• $856

Multiple Choice

Solve for Z

 $\frac{z}{8}=\frac{z+1}{10}$  

• 4

• 8

• 18

• 2

Multiple Choice

Solve for m Round to the nearest tenth.

 $\frac{m}{3}=\frac{4}{5}$  

• 12.5

• 5

•  $\frac{12}{5}$  

• 2.4