Change Equivalent Ratios

Use the information in the table to find the number of feet in 9 yards.

• 9,18,30

• 6,8,12

• 9,15,27

• 18,30,42

There are eight sides on an octagon. If the ratio remains the same, how many octagons will there be if there are 40 sides? Complete the table to find out.

Use the information in the table to find the number of cups in 7 quarts.

• 12,20,28

• 16,20,24

• 16,32,40

• 6,16,26

The ratio of blue cards to green cards is 2 to 5. An equivalent ratio to 2 to 5 would be ​ (a)   to ​ (b)   .

• 14

• 35

• 2

• 5

• 7

• 3

• 10

• 13

ratios that simplify to the same value

• linear

• equivalent ratios

• intercepts

• slope

• constant

Answer explanation

Equivalent ratios are ratios that simplify to the same value.

The slope is equal to the rate of change ( Δy/Δx ). Linear relationships produce a straight line when graphed.

x- and y-intercepts are where the graph crosses the x- and y-axes. Constant means "not changing".

What is the first step to finding equivalent ratios?

• line them up

• Change the ratios into fraction form

• multiply

• divide

find the missing number for these equivalent ratios

3:6 = 1:?

• 1

• 6

• 2

• 12

find the missing number for these equivalent ratios

• 3

• 9

• 12

• 36

find the missing number for these equivalent ratios

• 20

• 10

• 3

• 5

Ratios with the SAME value when simplified

• equivalent ratios

• unit rates

• proportions

• unit price