Download Date: Block:______ Name: #____ MULTIPLE CHOICE REVIEW 1

Date:___________________________ Block:_______ Name:______________________________#____
MULTIPLE CHOICE REVIEW
1. Which linear system is represented by this graph?
A)
B)
C)
D)
x y 5
5 x  6 y  18
x y 7
5 x  6 y  18
x y 9
6 x  6 y  18
x  y  11
6 x  5 y  18
2. Solve this linear system:
A) (-14, -14)
4 x  16 y  264
x  4 y
B) (-10, -10)
C) (-10, -14)
D) (-14, -10)
3. Which linear system has the solution x  4 and y  2 ?
A)
4 x  y  14
B)
 2 x  4 y  16
2x  4 y  4
C)
 2 x  y  14
x  4y  4
2x  4 y  8
D)
x  4 y  15
4 x  2 y  17
4. Write an equivalent linear system where both equations have the same y-coefficients.
4x  4 y  7
8 x  7 y  11
A)
4x  4 y  7
B)
8 x  4 y  11
28 x  31y  49
C)
32 x  31y  44
11x  28 y  28
11x  7 y  11
D)
28 x  28 y  49
32 x  28 y  44
5. Create a linear system to model this situation:
In a board game, Judy scored 3 points more than twice the number of points Ann scored. There was a
total of 39 points scored.
A)
j  3 a
j  a  39
B)
a  3 2j
j  a  39
C)
j  3  2a
j  a  39
D)
j  3  2a
j  a  39
Date:___________________________ Block:_______ Name:______________________________#____
6. Yoshiko used this linear system to represent a situation involving the costs of shirts and pants.
3s  p  144
4 s  3 p  122
What problem might Yoshiko have solved?
A) Three shirts and one pair of pants cost $144. Four shirts and three pairs of pants cost $122. Determine
the costs of one shirt and one pair of pants.
B) Three shirts and one pair of pants cost $144. Two shirts and three pairs of pants cost $122. Determine
the costs of one shirt and one pair of pants.
C) Three shirts cost $144. Four shirts and three pairs of pants cost $122. Determine the costs of one shirt
and one pair of pants.
D) Three shirts and four pairs of pants cost $144. Four shirts and three pairs of pants cost $122.
Determine the costs of one shirt and one pair of pants.
7. Determine the number of solutions of the linear system:
A) one solution
B) no solution
5 x  7 y  76
 25 x  35 y  380
C) infinite solutions
D) 2 solutions
8. The first equation of a linear system is  6 x  12 y  42 . Choose a second equation to form a linear
system with no solution.
A)  6 x  12 y  126 B) 18 x  36 y  126
C) 18 x  12 y  126
D) 18 x  36 y  0
9. Which of these sets of numbers contains all rational numbers?
1
A) { , ,  13}
2
B) {3.0541..., 99 , 0.14363}
7
C) {6,  121, 4 }
8
D) { 21, 0.75, 0}
10. Which number set is represented by:
A) x | 2  x  5
B) x | 2  x  5
C) x | 2  x  5
D) x | 2  x  5
Use the following Venn Diagram to answer the next 3 questions:
The sports offered at a retirement village are Golf (G),
Tennis (T) and Swimming (S). The Venn diagram shows
the numbers of people involved in each activity.
2
G
T
11
6
1
3
4
4
8
S
Date:___________________________ Block:_______ Name:______________________________#____
11. How many people only play golf?
A) 17
B) 11
C) 6
D) 14
12. How many people play both tennis and golf?
A) 2
B) 3
C) 5
D) 10
(a) U
13. How many people play tennis or golf?
A) 17
B) 10
C) 19
(b) U
A
B
A
B
D) 27
14. Which of the following expressions represents the shaded are on the following Venn diagram?
(c) U
(d) U
A
B
A
B
C
A) A' B
B) A  B '
C) A' B'
D) ( A  B)'
15. Which multiplication sentence does this set of algebra tiles represent?
A)
B)
C)
D)
(2 x 2  2)( 2 x 2  2)
(2 x  2)( 2 x  2)
(2 x 2  2 x)( 2 x 2  2 x)
(2 x  2)( 2 x  2)
(a + 6)(a – □) = a2 + □a – 12
16. Complete:
A) (a  6)(a  4)  a 2  2a  12
C) (a  6)(a  4)  a 2  4a  12
B) (a  6)(a  2)  a 2  2a  12
D) (a  6)(a  2)  a 2  4a  12
17. Find an integer to replace □ so that this trinomial is a perfect square: 64x2 – □ xy + 81y2
A) 18
B) 72
18. Factor:
25 x 2  58 x  16
A) (5 x  4)(5 x  4)
C) 648
B) (25 x  8)( x  2)
D) 144
C) (5 x  8)(5 x  2)
D) (25 x  4)( x  4)
Date:___________________________ Block:_______ Name:______________________________#____
19. Simplify completely:
128
(A) 4 32
(B) 7 6
(A) 8 2
(B)  12 2
21. Simplify:
(4 6 )(3 10 )
(A)  24 15
(B) 4
(A)
2
25
23. Simplify:
(A) 10  15
(D) 8 2
(C) 10
(D) 4 2
(C) 60
(D) 2 15
2 18  8
20. Simplify completely:
22. Simplify:
(C) 7 3
2 15
5
(B)
5
16
(C)
3 10
10
(D) 2 3
(C)
10  5 3
7
(D)
5
2 3
(B) 10  5 3
10  5 3
5
24. Given the following information, solve for x. Give the answer in simplest fraction or surd form.
leg = 5 cm, leg = 3 cm, hypotenuse = x cm
(A)
31 cm
(B) 2 7 cm
(C)
21 cm
(D)
34 cm
25. Find the length of the radius.
(A)
5
(B) 2 5
(C) 13
(D) 2 13
26. Find x if the diameter of the circle is 10 cm. O is the
circle.
(A) 12 cm
(B)
69 cm
(C) 194 cm
(D)
269 cm
center of the
Date:___________________________ Block:_______ Name:______________________________#____
27. Find the shortest distance between the chord and the center given that the radius
is 5 cm.
(A) 3.32 cm
(B) 5.83 cm
(C) 4 cm
(D) 7.81 cm
28. In the following figure, CAB  CED . Which of the following statements must also be given in
A
order to prove that ABC  EDC
D
(B) AE  BD
(D) ACB  ECD
(A) C is the midpoint of AE
(C) AB is parallel to DE
C
29. For the following similar triangles, which statement best
relationship?
(A) ABC ~ DEF
E
B
describes their
(B) BAC  FED
AB AC

(D)
DE DF
(C) BAC ~ EFD
30. The sides of a triangle are 5, 6, and 10. Find the length of the longest side of a similar triangle whose
shortest side is 15.
(A) 10
(B) 15
(C) 18
(D) 30
31. In the given figure, DBE ~ ABC , AD = 6, and DB = 4. What is the ratio
of the area of DBE to the area of ABC ?
(A)
4
25
(B)
4
9
(C)
4
21
(D)
2
3
32. What does CPCTC stand for?
(A) Congruent parts of congruent triangles are congruent.
(B) Congruent parts of corresponding triangles are congruent.
(C) Corresponding parts of congruent triangles are congruent.
(D) Corresponding parts of corresponding triangles are congruent.
Date:___________________________ Block:_______ Name:______________________________#____
33. Dennis found that sin   0.75 . Find cos .
A) 48.6
C) 41.4
B) 0.6614
D) 0.013
34. In ∆MCT, the measure of T  90  , t = 85 cm, m = 84 cm, and c = 13 cm. What ratio represents the
sine of C ?
A)
13
84
B)
84
85
C)
13
85
D)
84
13
35. The angle of elevation from a point 25 feet from the base of a tree on level ground to the top of the
tree is 30o. Which equation can be used to find the height of the tree?
A) sin 30  
x
25
B) cos 30  
x
25
C) tan 30  
x
25
D) 30 2  25 2  x 2
36. Choose the response that shows a proper step for solving for θ:
A)
  180  90  23
B)
 2  182  252  (18)(25)cos23
C)
tan  
D)
18cm
25cm
θ
25
18
23°
sin  sin 23

25
18
37. Find the area of the given figure.
A)
99cm2
B)
95.63cm2
C)
93.03cm2
D)
56.78cm2
38. Select the pair of azimuths for which the angle between the azimuths is closest to a right angle:
A)
B)
C)
D)
39. Convert 24 yd. to feet.
A) 288 ft.
B) 8 ft.
C) 72 ft.
D) 2 ft.
Date:___________________________ Block:_______ Name:______________________________#____
40. Convert 100 in. to yards, feet, and inches.
A) 4 yd. 2 ft. 2 in.
B) 2 yd. 2 ft. 4 in.
C) 4 yd. 0 ft. 4 in.
D) 1 yd. 1 ft. 4 in.
41. Paul plans to replace 487 in. of wood railing along the top of his patio fence. The wood is sold in 8-ft.
lengths. How many 8-ft. lengths does Paul need to purchase?
A) 5
B) 7
C) 61
D) 6
42. Which referent could you use for 1 ft.?
A) The diameter of a basketball
C) The distance between Regina and Whitehorse
B) The height of an ice hockey net
D) The height of Mrs. Service
43. A figure skating blade is 0.15 in. wide. What is this width to the nearest millimetre?
A) 3 mm
B) 4 mm
C) 5 mm
D) 6 mm
44. Determine the surface area of this right cone to the nearest square metre.
A) 75 m2
B) 55 m2
C) 74 m2
D) 83 m2
45. Calculate the volume of this right square pyramid to the nearest cubic foot.
A) 54 cubic feet
C) 62 cubic feet
B) 163 cubic feet
D) 58 cubic feet
46. A right cone has a height of 8 cm and a volume of 250 cm2. Determine the radius of the base of the
cone to the nearest centimetre.
A) 5 cm
B) 11 cm
C) 3 cm
D) 17 cm
47. A storage shed is a composite object formed by a right square prism with a right
square pyramid as its roof. Determine the volume of the storage shed to the nearest
cubic foot.
A) 2592 cubic feet
B) 2304 cubic feet
C) 1025 cubic feet
D) 2321 cubic feet
Date:___________________________ Block:_______ Name:______________________________#____
48. Write an equation to describe this graph:
(a)
(b)
(c)
(d)
x  5 y  5
x  5y  5
x  5 y  5
x  5y  5
49. A straight section of an Olympic downhill ski course is 34 m long. It drops 16 m in height.
Determine the gradient of this part of the course.
8
15
(a) 
(b) 
17
8
(c) 
8
17
(d) 
15
8
50. Determine the slope of a line parallel to the line 16 x  4 y  2  0 .
(a) 4
(b) -4
(c)
1
4
(d) 
1
4
5. Determine the slope of the line that is perpendicular to this line segment.
(a) -3
(b) 3
1
(d)
3
1
(c) 
3
52. The segment below is to be cut into 4 equal pieces. What are the coordinates of B?
(a) (2, 1)
(b) (-1, 2)
(c) (1, ½ )
(d) (-1, 3)
53. Given the points A and B on the diagram below, which of the
following would give the length of AB ?
(a)
(1  5) 2  (6  2) 2
(b)
(1  5) 2  (6  2) 2
(c)
(1  6) 2  (5  2) 2
(d)
(6  1) 2  (2  5) 2