Unit Rates & Conversions

Sophie can type 129 words in 3 minutes.  How many words can she type in 14 minutes? (*Hint: Find the UNIT RATE first!)

(a)  

Patrick Mahomes is 6 feet 3 inches tall. How many centimeters tall is he?

(*Hint: Convert his height to inches first)

1 foot = 12 inches

1 inch = 2.54 centimeters

(a)  

When multiplying and dividing integers, same signs will result in a ​ (a)   answer, and different signs will result in a ​ (b)   answer.

• positive
• negative

Three students wrote equivalent ratios on their dry erase boards. Which of these students wrote an equation that is true?

• Jasmine only

• Noah & Lian

• Noah only

• Lian & Jasmine

A box of cereal weighs 14 ounces and costs $2.66.  What is the price per ounce of the cereal?

• $0.14

• $0.21

• $0.19

• $0.24

13.8 x 5.3

(a)  

The ratio of the number of almonds to raisins in a bag of trail mix is 4:3. If there are 600 almonds in a bag, how many raisins are in the same bag?

(a)  

Nathan can drive 168 miles on 8 gallons of gas. How many miles can he drive on 12 gallons?

(*Hint - find the unit rate first!)

(a)  

Mathematical Equivalence

ON

Let's get ready to graph these proportional relationships!

Plot the following points:

(1, 4)

(2, -3)

(-5, -2)

(5, 2)

(-6, 7)

*Hint - (x, y)