Unit Review: Ratios, rates & proportions

F.1Write each ratio with a colon, in the order the words name the groups.

1. 1
   Green to red: 
2. 2
   Red to blue: 

F.2Write each ratio in simplest form.

1. 3
   Simplest form: $36:40$ 
2. 4
   Simplest form: 99 to 9 

F.3Fill in each box.

1. 5
   $15:27=$ $\boxed{}:9$
2. 6
   $8:1=$ $32:\boxed{}$

F.4Fill in the boxes so every column shows the same ratio.

1. 7
   $\begin{array}{lcccc}\text{Tickets}& 5& 20& 35& \\ \text{Dollars}& 4& & & 32\end{array}$
2. 8
   $\begin{array}{lcccc}\text{Red}& 1& 2& 3& \\ \text{Blue}& 2& & & 10\end{array}$

F.5Find each unit rate.

1. 9
   $265$ words in 5 minutes. Find the unit rate.
2. 10
   $\text{\$}42.90$ for 3 notebooks. Find the unit rate.

F.6Answer each question. Write ratios in simplest form.

1. 11
   $1:11=$ $\boxed{}:33$
2. 12
   $1:10=$ $\boxed{}:50$

F.7Do the ratios form a proportion? Write yes or no.

1. 13
   $\frac{10}{25}\stackrel{?}{=}\frac{6}{15}$ 
2. 14
   $\frac{16}{28}\stackrel{?}{=}\frac{20}{35}$ 

F.8Solve each proportion.

1. 15
   $\frac{15}{y}=\frac{25}{35}$
2. 16
   $\frac{10}{16}=\frac{15}{n}$

F.9Use the scale to answer each question.

1. 17
   On a blueprint, $1$ inch represents $8$ feet. A room is $6.75$ inches long on the blueprint. How long is the real room?
2. 18
   On a map, $1$ inch represents $20$ miles. Two towns are $6.5$ inches apart on the map. What is the actual distance?

F.1Write Ratios

1. 1$6:4$
2. 2$6:4$

F.2Simplify Ratios

1. 3$9:10$
2. 411 to 1

F.3Equivalent Ratios

1. 55
2. 64

F.4Ratio Tables

1. 7$40,16,28$
2. 8$5,4,6$

F.5Unit Rates

1. 953 words per minute
2. 10$\text{\$}14.30$ per notebook

F.6Ratios & Unit Rates

1. 113
2. 125

F.7Do the Ratios Form a Proportion?

1. 13yes
2. 14yes

F.8Solve Proportions

1. 15$y=21$
2. 16$n=24$

F.9Scale Drawings

1. 1754 feet
2. 18130 miles