1) Write the ratio in simplest form. 16:24
1:2
4:3
3:4
2:3***
2) Solve the following proportion. r/5=9/21
r= 2.14***
r= 9
r=11.66
r= 37.8
3) James has a model helicopter. The model is 8 inches long and 7 inches wide. The actual helicopter is 56 inches long. What is the helicopters actual width, if we assume the model is proportionate?
40 inches
49 inches***
56 inches
60 inches
4) Find the unit rate for 521 miles in 14 hours.
0.03 miles/hour
37.21 miles/hour***
521 miles/hour
7,294 miles/hour
5) In six months, 33.6 gallons were used. Find the unit rate.
3.6 gallons/month
4.6 gallons/month
5.6 gallons/month***
6.6 gallons/month
6) On a recent day, one U.S. dollar was worth 0.81 euros. If you were to exchange 222 euros, how many U.S. dollars would you receive?
$88.91
$274.07***
$548.15
$179.82
7) The pair of polygons is similar. Find the value of x (Figure 1, Side 1= 15 in. Side 2= 60 in. Figure 2, Side 1= 10 in. Side 2= x).
2.5 in.
5 in.
35 in.
40 in.***
8) Two ladders are leaning against the wall at the same angle, as shown. What is the length of the short ladder (Tall ladder, length= 60 ft., width- 40 ft. Short ladder, length= x, width, 10 ft.)?
6 ft
15 ft***
20 ft
30 ft
9) The sides of a square are increased by a scale factor of 7. The perimeter of the smaller square is 16 ft. What is the perimeter of the larger square?
28 ft***
56 ft
64 ft
112 ft
10) A right triangle has an area of 21m^2. The dimensions of the triangle are increased by a scale factor of 4. What is the area of the new triangle?
42m^2
84m^2***
168 m^2
336 m^2
11) Figure A'B'C'D' (A'= (-3, 6) B'= (9, 3) C'= (6, -3) D'= (-3, -3)) is a dilation of figure ABCD (A= (1, 2) B= (3, 1) C= (2, -1) D= (-1, -1)). Find the scale factor. Classify the dilation as an enlargement or a reduction.
Scale factor 1/3; reduction
Scale factor 1/4; reduction
Scale factor 3; enlargement***
Scale factor 4; enlargement
12) The length of a piece of paper is 8.5 inches. Using scissors, you reduce the length of the paper to 4.25 inches. What is the scale factor of the dilation?
1/4
1/2***
2
4
13) On a given blueprint, 1 inch= 12 feet. If the dimensions of a recreation room on the blueprint are 2 inches x 1.75 inches, what are its actual measurements?
1 ft x 12 ft
6 ft x 7 ft
22 ft x 18 ft
24 ft x 21 ft***
14) Using a scale factor of 1 inch = 16 feet, what are the blueprint dimensions of a room that is 20 feet x 28 feet?
1.5 in. x 2.5 in
1.25 in. x 2.25 in
1.25 in. x 1.75 in.***
1.5 in. x 1.75 in.
15) The scale of a map is 1 inch= 30 miles. How many actual miles does 5.25 inches represent?
157.5 miles***
175 miles
1,575 miles
1,750 miles
3 answers
13 answers