Write each ratio as a fraction in lowest terms.
12 to 16
3/4
Write each ratio as a fraction in lowest terms.
36:12
3/1
Determine whether the ratios 4:7 and 20:35 are equivalent. If so, state the lowest-term ratio.
yes,
4/7
Write each ratio in reduced form. Identify each reduced ratio as a rate or unit rate.
120 papers for 30 mailboxes4 papers per mailbox; unit rate
Write each ratio in reduced form. Identify each reduced ratio as a rate or unit rate.
200 hot dogs for 150 people
4 hot dogs: 3 people; rate
Write each ratio in reduced form. Identify each reduced ratio as a rate or unit rate.
1092 bushels on 42 acres
26 bushels per acre; unit rate
Write as a simplified rational number in the form
a/b.
3 1/2/6
7/12
Write as a simplified rational number in the form
a/b.
10/ 2/7
7/12
Convert each rate to a unit rate.
5 c: 2 oz
2 1/2 c: 1 oz
Convert each rate to a unit rate.
56 1/4 mi: 1 1/2 gal
37 1/2 mi : 1 gal
Complete each ratio table.
feet 16 ? 56
seconds ? 5 7
Feet 40
seconds 2
Complete each ratio table.
miles 40 100 ?
minutes 50 ? 200
miles ? = 160
minutes ? = 125
Reduce each ratio to lowest terms and then determine whether each pair of ratios forms a proportion.
15/12 and 40/32
yes
Use the Property of Cross Products to determine whether each pair of ratios forms a proportion.
12/25 and 50/110
25(50) = 1250
13(110) = 1430
doesn't work, the answer is no
Solve for the missing term.
6/7 = n/140
n = 120
Solve for the missing term.
5/2 = 405/n
n = 162
Find each measure if a scale of 1 in. to 50 mi. is used on a map.
What is the distance between two cities 3 in. apart on the map?
1/50 = 3/n
n = 150
Find each measure if a scale of 1 in. to 50 mi. is used on a map.
What is the measurement on the map of two cities that are 525 mi apart?
1/50 = n/525
n = 10.5 in.
Find each scale factor.
An object 85 ft long is represented in a drawing that is 5 in. long.
5/85 = 1/17
1 in. : 17 ft
Find each scale factor.
A model of a ship 45 ft wide is 30 in. wide
30/45 = 2/3
2 in: 3ft
Find the missing scale factor or length.
18 in
2cm: 3m
2.7km
Graph each set of ordered pairs on the coordinate plane.
Graph each set of ordered pairs on the coordinate plane.
Determine whether the graph represents a proportional relationship.
No
Determine whether the graph represents a proportional relationship.
Yes
Determine the constant of proportionality and write the equation describing the proportional relationship.
4/1 = 4; k = 4; y = 4x
Determine the constant of proportionality and write the equation describing the proportional relationship.
3/6 = 1/2; k=1/2; y=1/2x
Dale played a board game 30 times and won 4 games. The next week he played 12 games and won twice. Does this represent a proportional relationship?
30/4 = 15/2 ; 12/2 = 6/1 ≠ 15/2; no
Isabelle makes a disinfecting solution mixing
2 2/3 c
of bleach to 2 gal of water. How much water should she use for 5 c of bleach?
2 2/3 / 2 = 8/3 /2 = 8/6 = 4/3 c: 1 gal; y = 4/3x ; 5 = 4/3x ; x = 3 3/4 gal