Download Pre-Algebra Chapter 10 Review

Name ___________________________
Hour _________
Pre-Algebra Chapter 10 Review
1. Find the value of x so the triangle will be
equilateral. Then find the perimeter of the
triangle.
2. The perimeter of a triangle is 140
centimeters. The length of the second side
is twice the length of the first side. The
length of the third side is ten less than
three times the length of the first side.
Find the side lengths and then classify the
triangle by the side lengths
44.
55. Consider the figure shown.
a. Find the value of x. Justify your work.
b. Find the value of y. Justify your work.
.
FOR PROBLEMS 3 - 4 find the value of
x. Then classify the triangle by its angle
measures.
3.
FOR PROBLEMS 6 - 8 tell whether the
figure is a polygon. If it is a polygon,
classify it and tell whether it is convex or
concave.
6.
7.
8.
FOR PROBLEMS 13- 15 find the area of
the figure.
13.
FOR PROBLEMS 9-10 find the value of x.
(The figure may not be drawn to scale.)
9.
14.
10.
15.
11. What name best describes the polygon
below?
FOR PROBLEMS 16 - 17 find the unknown
measure in the polygon.
16.
12. Describe the difference between a polygon
and a regular polygon. Are parallelograms
regular polygons? Explain
20. Find the circumference and the surface
area of the circle.
17.
18. Find the area of the trapezoid formed by
connecting the vertices
and
.
y
22. The water sprayed from a rotating sprinkler
has a circumference of 50.24 feet.
4
2
–4
–2
21. A lawn sprinkler covers a circular area of
lawn equal to 2106 square feet. Find the
radius of the sprinkler setting to the
nearest foot
2
4
x
a. Find the greatest distance the water
sprays from the sprinkler.
–2
–4
b. Find the area of the yard that is watered
by the sprinkler
19. Find the area of the region shown by
dividing it into two trapezoids.
.
FOR PROBLEMS 24-26 find the surface
area.
23.
Find the surface area of the solid. Round
to the nearest tenth when necessary.
27.
24.
28.
25. The solid is composed of a triangular prism
and a rectangular prism. Find the surface
area of the solid to the nearest square foot.
FOR 29 – 31 find the volume of the solid.
Round to the nearest whole number.
29.
26. Find the slant height, x, of the pyramid.
Round your answer to the nearest
hundredth, if necessary.
30.
FOR PROBLEMS 33-34 find the volume of
the figure.
33.
31.
34.
32. A cereal company is considering two
different packages of its new product. It
has already determined that both packages
would cost the same amount of money to
manufacture.
Determine which package will hold the
greater amount of cereal without solving for
volume.
Pre-Algebra Chapter 10 Review
Answer Section
1. ANS:
DIF: Level B
KEY: variable | triangle | perimeter | equilateral
2. ANS:
25 cm, 50 cm, 65 cm; scalene
DIF: Level B
KEY: triangle | classify | length | side | scalene
3. ANS:
20; right
DIF: Level B
KEY: equation | angle | triangle
4. ANS:
45; right
DIF: Level B
KEY: solve | angle | triangle
5. ANS:
a. The sum of the measures of the angles in a triangle equal 180º;
b. obtuse
c. The sum of the measures of the angles in a triangle equal 180º;
d. acute
DIF: Level B
KEY: multi-step | triangles
6. ANS:
hexagon, concave
DIF: Level A
KEY: identify | polygon | classify | hexagon | convex | concave
7. ANS:
not a polygon
DIF: Level A
KEY: identify | polygon | classify | convex | concave
8. ANS:
heptagon, convex
DIF: Level A
KEY: identify | polygon | classify | heptagon | convex | concave
9. ANS:
24
DIF: Level B
KEY: solve | angle | quadrilateral
10. ANS:
50
DIF: Level B
KEY: solve | angle | rectangle | parallelogram | angle addition
11. ANS:
parallelogram
DIF: Level A
KEY: quadrilateral | describe
12. ANS:
The sides of a polygon can have any length and the angles all different measures. All the sides of a
regular polygon have the same length and all the angles have the same measure. Squares, which are
parallelograms, are regular polygons. They are the only parallelograms with equal sides and equal
angles. There are not any other parallelograms that are regular polygons.
DIF: Level B
KEY: writing | regular polygons
13. ANS:
DIF: Level B
KEY: area | parallelogram
14. ANS:
DIF: Level A
KEY: area | trapezoid
15. ANS:
DIF: Level A
16. ANS: D
KEY: area | trapezoid
DIF: Level B
KEY: area | parallelogram | missing | base
17. ANS:
DIF: Level B
KEY: area | base | trapezoid | missing
18. ANS:
20 square units
DIF: Level B
KEY: area | coordinate | trapezoid
19. ANS:
498 sq. units
DIF: Level B
KEY: area | polygon | trapezoid
20. ANS:
4.15265 m2
DIF: Level B
KEY: circle | area
21. ANS:
26 ft
DIF: Level B
KEY: circle | radius | area
22. ANS:
a. 8 feet
b. 200.96 feet2
c. 10 feet
DIF: Level C
KEY: multi-step | circles | area | circumference | radius
23. ANS:
133.5
DIF: Level B
24. ANS:
KEY: surface area | cylinder | net
DIF: Level B
KEY: rectangular | prism | surface area | net
25. ANS:
DIF: Level B
KEY: model | composite | rectangular | solid | prism | surface area
26. ANS:
4.47 ft
DIF: Level B
KEY: pyramid | slant height
27. ANS:
DIF: Level A
KEY: surface area | pyramid
28. ANS:
DIF: Level A
KEY: surface area | cone
29. ANS:
DIF: Level B
KEY: round | whole number | volume | prism
30. ANS:
DIF: Level A
KEY: round | whole number | volume | cylinder
31. ANS:
808 cm3
DIF: Level B
KEY: composite | estimate | volume
32. ANS:
DIF: Level B
KEY: word | volume | rectangular | solid | cylinder
33. ANS:
DIF: Level A
34. ANS:
KEY: volume | pyramid
DIF: Level A
KEY: volume | cone