Page 242 - Algebra 1

Practice
Distributed and Integrated
c. The side of a building casts
(Ex 2)
(Ex 4)
the ratio of the areas of the toy car and the actual car?
Solve each proportion.
*1. 3= x *2. 5.5=1.375
a shadow 21 meters long. A statue that is 5 meters tall casts a shadow 4 meters long. The triangles are similar. How tall is the building?
x
d. The scale drawing of the kitchen tabletop has dimensions 5 inches by
(Ex 3)
e. Small toy cars are constructed using a scale factor of 1 in.:64 in. What is
2.5 inches. If the scale factor of the drawing to the actual table is 1 in.:18 in., what are the dimensions of the actual table?
__ __ (36) 4 100 (36) x 11
Simplifyeachexpression. __2 _
3. 22 +6(8-5)÷2 4. (3+2)(4+3)+5 5. 14-8
(4) (4) 6 - 22 (4) -22 + 1 6. The point (3, 5) is graphed in which quadrant of a coordinate plane?
(20)
7. True or False: The set of ordered pairs below defines a function. (25)
{(1, 3), (2, 3), (3, 3), (4, 3)} *8. The triangles at right are similar. Find the missing length.
(36)
16 9
*9. Multiple Choice One triangle has side lengths 3, 5, and 6. A similar triangle has
(36) side lengths 18, 15, and 9. Which of the following ratios is the scale factor of the
triangles?
A _1 B _1 C _1 D _2 6353
*10. Landscaping A landscaping company needs to measure the height of a tree. The (36) tree casts a shadow that is 6 feet long. A person who is 5 feet tall casts a shadow
that is 2 feet long.
a. Draw a picture to represent the problem.
b. Use your picture to find the height of the tree.
21 m
4 m
x
12
Lesson 36
227
5 m