Unit 5 TEST – Algebra B Name:
Write the letter that best answers the question or completes the statement.
Find the perimeter (or circumference) and the area of each figure.
1. Perimeter = 2. Area = 3. Perimeter = 4. Area =
a) 90 units a) 90 units² a) 132 cm a) 132 cm²
b) 42 units b) 42 units² b) 66 cm b) 66 cm²
c) 21 units c) 21 units² c) 92 cm c) 92 cm²
d) 45 units d) 45 units² d) 76 cm d) 76 cm²
e) 36 units e) 36 units² e) 184 cm e) 184 cm²
5. Perimeter = 6. Area = 7. Perimeter = 8. Area =
a) 28 yds a) 28 yds² a) 80 ft a) 80 ft²
b) 14 yds b) 14 yds² b) 56 ft b) 56 ft²
c) 98 yds c) 98 yds² c) 168 ft c) 168 ft²
d) 49 yds d) 49 yds² d) 42 ft d) 42 ft²
e) 30 yds e) 30 yds² e) 336 ft e) 336 ft²
9. Perimeter = 10. Area = 11. Circumference = 12. Area =
a) 96 mm a) 96 mm² a) 18π m a) 18π m²
b) 81 mm b) 81 mm² b) 72π m b) 72π m²
c) 336 mm c) 336 mm² c) 324π m c) 324π m²
d) 496 mm d) 496 mm² d) 36π m d) 36π m²
e) 248 mm e) 248 mm² e) 144π m e) 144π m²
ab) 9π m ab) 9π m²
13. Circumference = 14. Area = 15. Perimeter = 16. Area =
a) 225π in a) 225π in² a) 71.5 ft a) 71.5 ft²
b) 100π in b) 100π in² b) 44 ft b) 44 ft²
c) 25π in c) 25π in² c) 66 ft c) 66 ft²
d) 625π in d) 625π in² d) 60 ft d) 60 ft²
e) 50π in e) 50π in² e) 78 ft e) 78 ft²
ab) 75π in ab) 75π in²
Use the figure on the right to answer #17 and #18.
17. What is the perimeter of the figure.
a) 96 units b) 98 units
c) 104 units d) 108 units
18. What is the area of the figure.
a) 440 units² b) 480 units²
c) 400 units² d) 460 units²
For problems #19 to #22, find the perimeter and area of the regular polygons.
Formulas: and or [a→apothem, p→perimeter]
19. Perimeter = 20. Area = 21. Perimeter = 22. Area =
a) 5 units a) 15 units² a) 160 units a) 1920 units²
b) 10 units b) 22.5 units² b) 120 units b) 1740 units²
c) 15 units c) 30 units² c) 100 units c) 1860 units²
d) 25 units d) 32.5 units² d) 140 units d) 1680 units²
e) 35 units e) 37.5 units² e) 180 units e) 1500 units²
Find the area of each figure.
23. 24.
a) 225.529 units² a) 821 units²
b) 238.128 units² b) 831 units²
c) 253.357 units² c) 841 units²
d) 277.082 units² d) 851 units²
e) 286.843 units² e) 861 units²
For problems #25 to #28, find the measurement given the perimeter.
25. The perimeter of a rectangle is 80 cm. If the width is 16 cm, what is the length?
a) 16 cm b) 24 cm
c) 32 cm d) 48 cm
26. The perimeter of a square is 240 in. What is the length of the side?
a) 24 in b) 36 in
c) 48 in d) 60 in
27. The perimeter of an isosceles triangle is 95 ft. What is the length of one of the legs [the legs are the two congruent sides of an isosceles triangle] if the third side is 17?
a) 39 ft b) 41 ft
c) 45 ft d) 48 ft
28. The perimeter of a rectangle is 156 cm and the base length is twice the height. What is the area?
a) 507 cm² b) 1014 cm²
c) 676 cm² d) 1352 cm²
For problems #29 to #332, given each area find the value of x.
29. Area = 169 yd² 30. Area = 252 miles²
a) 11 yd a) 24 miles
b) 13 yd b) 28 miles
c) 16 yd c) 32 miles
d) 19 yd d) 36 miles
31. Area = 36.062 m² 32. Area = 18.054 ft²
a) 15.05 m a) 3.06 ft
b) 16.43 m b) 3.12 ft
c) 18.98 m c) 3.16 ft
d) 19.75 m d) 3.22 ft
For problems #33 to #36, find the radius of the circle with the given measurement.
33. Area = 100π ft² 34. Circumference = 16π cm
a) 200 ft a) 24 cm
b) 20 ft b) 16 cm
c) 10 ft c) 4 cm
d) 5 ft d) 8 cm
35. Circumference = 81 in 36. Area = 29 square miles
a) 81π in a) miles
b) in b) miles
c) in c) miles
d) in d) miles
For problems #47 to #50, find the geometric probability of landing in the shaded region.
37. 38.
a) b) a) b)
c) d) c) d)
39. 40.
a) 32.5% b) 30.85% a) 78.5% b) 50%
c) 34.7% d) 78.5% c) 82.5% d) 50%
41.
a) 84.0% b) 82.5%
c) 88.5% d) 86.0%
For each slope value, find the slope of the line parallel.
42. 43.
a) b) a) b)
c) d) c) d)
For each slope value, find the slope of the line perpendicular.
44. 45.
a) b) a) b)
c) d) c) d)
46. Find the equation of the line that goes through ( 12 , 65 ) and ( 2 , 5 ).
a)
b) c)
d)
Choose the graph of each linear function.
47.
a. b.
c. d.
48.
a. b.
c. d.
49.
a. b.
c. d.
Solve each equation.
50. 51.
a) a) 1.5
b) b) 2.5
c) c) 3.5
d) d) 4.5
52. 53.
a) -14 a) -4
b) -12 b) -64
c) -16 c) -32
d) -15 d) -8
54. 55.
a) -6 a) -5.25
b) -384 b) -5.5
c) -252 c) -5.75
d) -8 d) -7,528,629.5248
Formula Sheet for Chapter 5
Rectangle: Parallelogram:
or or
Square: Triangle:
or
Trapezoid: Circle:
or or
Pythagorean Theorem: Regular Polygon:
For a visual, a pentagon n → number of sides
Pythgorean Triples: is shown. s → side length
a → apothem
p → perimeter
Unit 5 Answers:
1)b 6)d 11)d 16)c 21)a 26)d 31)c 36)b 41)a 46)b 51)c
2)a 7)d 12)c 17)b 22)a 27)a 32)a 37)a 42)a 47)b 52)a
3)b 8)c 13)e 18)a 23)c 28)d 33)c 38)c 43)b 48)c 53)b
4)e 9)b 14)d 19)d 24)b 29)b 34)d 39)c 44)d 49)d 54)b
5)a 10)e 15)b 20)e 25)b 30)a 35)c 40)a 45)c 50)b 55)b