Chapter 4 Review
Name ____________________________
1. Sarah’s craft box has 24 tubes of paint and 18
paintbrushes. Write the ratio of paintbrushes to paint in
all three forms.
8. Tell whether parallelogram ABCD and parallelogram
WXYZ are similar. The measures of the corresponding
angles are equal, and the opposite sides are equal.
2.
Sharon worked for 15 hours and earned $135 and
Sam worked for 6 hours and made $45. Which person
earned more money per hour?
9. The two triangles are similar.
the missing side?
3.
There are 4 grams of protein for every 280 calories
in a granola bar. How many calories would you get
from every gram of protein?
4. Determine whether the ratios
proportional.
7
63
and 72
8
are
10.
5. Determine whether the ratios
proportional.
6.
What is the value of
3
10
and
25
175
are
I was able to make 72 cupcakes in 45 minutes.
Mrs. Grasmuck was able to make 48 cupcakes in 36
minutes. Are these speed rates proportional?
A four foot tall girl is standing next to a tree. The
person is casting a shadow 1.4 feet in length, while
the tree is casting a shadow 5.6 feet in length. How
tall is the tree? (Hint: draw a picture)
11. A model car is built to a scale of 1 inch : 9 feet. If
the model car is 2.4 inches long, find the length of the
actual car. Round your answer to the nearest foot.
7. Tell whether ∆𝐴𝐵𝐶 and ∆𝐷𝐸𝐹 are similar. The
measures of the corresponding angles are equal.
12. Identify the scale factor if the length of a model
Titanic is 16 inches and the length of the actual ship
was 884 feet.
13. I had an old photo of my grandparents that I
wanted to put on the wall. I enlarged the picture by a
scale factor of 1 inch = 1/5 foot. If the original photo
measured 3 inches by 5 inches, what were the
dimensions of the enlargement?
14. The distance from Zion National Park to Bryce
Canyon National Park is 72 miles. The scale factor on
the map is 1 inch = 30 miles. What is the distance of
the two cities on the map?
15.
Define/Describe what a unit rate is:
16. I can pay $3.28 for 7 jars of spaghetti sauce at Giant
Eagle. I can pay $2.65 for 4 jars at Aldi’s.
a.
Give the unit rate for each store
18. I want similar prints of my favorite photo. I can
get them made in 3 in x 5 in, 4 in x 6 in, 8 in x 10 in, or 9
in x 12 in sizes. Which size prints should I order to get
similar size photos?
19. Find the constant of proportionality from the table
below.
Number of
Tickets
3
6
9
21
Cost ($)
2
4
6
14
20. Find the constant of proportionality from the equations below. If there is no constant of proportionality,
indicate there is none.
a) y = 3.4x
c)
y = 5x - 1
b) y = 12 x2
b. Which is the better buy?
17. Mr. Perez will be driving south to a conference. On
the map, the distance he must drive is 15 cm. When he
refers to the legend, he sees that 2 cm = 50 km.
a.
How far will Mr. Perez be driving to the
conference?
b.
After the conference, if he decides to drive 75
km farther south to visit an old friend, how
many centimeters will he be from home on
the map?
21. The number of cups of lemonade created varies
directly with the number of pounds of sugar needed.
What is the unit rate?