CHAPTER 4 • LearningExpress Skill Builders
84
7. What is the perimeter of the triangle below?
a. 14
b. 16
c. 17
d. 30
8. A triangle has 2 sides that measure 14 cm and
17 cm respectively.Which of the following could
be the length of the triangle’s third side?
a. 33 cm
b. 31 cm
c. 25 cm
d. 3 cm
Use the diagram below to answer questions 9 and 10.
9. If in the figure above, OP, QR, ST, and UV are
parallel, what is the value of angle a?
a. 40
b. 50
c. 120
d. 140
10. What is the value of angle b?
a. 40
b. 50
c. 120
d. 140
11. Refer to the three figures below:
Which of the following statements are true?
a. Figure M has 360°
b. Figure N has 360°
c. Figure O has 360°
d. Both aand care true.
12. What is the area of the parallelogram below?
a. 80
b. 48
c. 40
d. 32
SBGeo_1 SBGeo_2 SBGeo_3
SBGeo_4 SBGeo_5
SBGeo_6
SBGeo_7 SBGeo_8
SBGeo_9 SBGeo_10
8
8
10
MN O
OP
QR
ST
UV
bo
ao
40o
40o
70o
6
5
SBGeo_1 SBGeo_2 SBGeo_3
SBGeo_4 SBGeo_5
SBGeo_6
SBGeo_7 SBGeo_8
SBGeo_9 SBGeo_10
–BASIC SKILLS FOR COLLEGE–
LearningExpress Skill Builders • CHAPTER 4 85
13. If triangle ABC is similar to triangle XYZ, what
is the value of XZ + YZ?
a. 33
b. 22
c. 11
d. It cannot be determined.
14. Which line is perpendicular to the line y5x
3?
a. y5x3
b. y5x3
c. y
1
5
x4
d. y
1
5
x4
15. If the area of circle Q is 36π, what is its diame-
ter?
a. 6
b. 12
c. 6π
d. 12π
16. Which line below has zero slope?
a. Line A
b. Line B
c. Line C
d. Line D
17. Which of the following shapes have a line of sym-
metry?
a. A and B only
b. B,C, and D only
c. B and D only
d. A, B, and D only
SBGeo_14
SBGeo_15
SBGeo_17 SBGeo_18
SBGeo_19
SBGeo_16
CD
SBGeo_20
SBGeo_14
SBGeo_15
SBGeo_17 SBGeo_18
SBGeo_19
SBGeo_16
AB
SBGeo_20
CD
X
Y
X
Y
B
A
X
Y
X
Y
X
SBGeo_1 SBGeo_2 SBGeo_3
SBGeo_4 SBGeo_5
SBGeo_6
SBGeo_7 SBGeo_8
SBGeo_9 SBGeo_10
Q
45
6
A
B
C
12
X
Y
Z
SBGeo_14
SBGeo_15
SBGeo_17 SBGeo_18
SBGeo_19
SBGeo_16
SBGeo_20
–ESSENTIAL PRACTICE WITH MATH–
CHAPTER 4 • LearningExpress Skill Builders
86
18. Which of the following polygons are congruent?
a. A and B
b. B and C
c. A and C
d. A and D
19. How many times does the graph of yx24
cross the x-axis?
a. not at all
b. once
c. twice
d. It cannot be determined.
20. If the sphere below has a radius =
3
2
, what is its
volume?
a.
9
2
π
b.
4
9
π
c. 9π
d. 2π
21. If the length of the rectangle below is doubled,
what happens to its area?
a. It remains the same.
b. It is doubled.
c. It is tripled.
d. It is quadrupled.
22. Which point is located at (3, 7)?
a. A
b. B
c. D
d. E
23. What is the height of a triangle with a base of
20 and an area of 120?
a. 5
b. 10
c. 12
d. It cannot be determined.
24. Which equation represents a line parallel to
y 3x5?
a. y =
1
3
x– 5
b. y = –
1
3
x+ 4
c. y = 3x+ 5
d. y = –3x– 5
x
y
1234567
1
2
3
4
5
6
7
-1
-2
-3
-4
-5
-6
-7
-1-2-3-4-5-6
-7
B
A
C
F
DE
2 cm
5.5 cm
ABCD
–BASIC SKILLS FOR COLLEGE–
LearningExpress Skill Builders • CHAPTER 4 87
25. If ABCD is a rectangle, which of the following
MUST be true?
a. AC is twice AB
b. AD bisects BC
c. AC equals DC
d. AD bisects AC
ALGEBRA
1. One number is five less than another number.
If both numbers add to twenty-three, what is the
larger number?
a. 18
b. 14
c. 9
d. 5
2. If you calculate the product of 4 more than the
value of 3 times xand 1 less than x, which of the
following choices would represent an equivalent
expression?
a. 3x27x4
b. 3x2x4
c. 3x27x4
d. 3x2x4
3. The expression
x2
x
2
6x
4
9
7
is equivalent to:
a.
x
x
7
1
b.
x
x
7
1
c.
x
x
7
1
d.
x
x
7
3
4. One week, Sal earned $20 more than twice the
amount that Doug made. If their combined
earnings for the week was $460, which equation
can be used to determine how much Doug made
that week?
a. D
S
2
20
b. D460 S
c. D460 (20 2D)
d. D20 2D
5. (
3
2
x
y
4
)(
2
6
1
y
x
3
) is equivalent to
a.
9
2
x
3
4
x
y
y
3
b.
3x
7
3y2
c.
3
7
x
x
y
y
3
d.
x4
3
y3
6. 2x4 12 is equivalent to
a. x8
b. x8
c. x4
d. x4
7. If b5, then (
1
6
)(b2b) is equal to
a.
1
3
0
b.
1
3
0
c. 5
d. 5
8. What is the value of 3x22x5 when x2?
a. 1
b. 11
c. 13
d. 21
9. If bis greater than 5, then b3 must be
a. between 3 and 5.
b. less than 5.
c. greater than 2.
d. greater than 8.
SBGeo_1 SBGeo_2 SBGeo_3
SBGeo_4 SBGeo_5
SBGeo_6
SBGeo_7 SBGeo_8
SBGeo_9 SBGeo_10
A
B
C
D
–ESSENTIAL PRACTICE WITH MATH–
CHAPTER 4 • LearningExpress Skill Builders
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10. If (x 2)20, what is the value of x?
a. 2
b.
1
2
c.
1
2
d. 2
11. Solve for x:5x6 3x16
a. 5
b. 11
c. 5
d. 11
12. What is the value of 5q q2when q6?
a. 66
b. 30
c. 6
d. 6
13. What are the solutions to x22x15 0?
a. x3, 5
b. x3, 5
c. x3, 5
d. x3, 5
14. Solve for x:5x5 30
a. 6
b. 6
c. 7
d. 7
15. 3x9 is equivalent to
a. x3
b. x6
c. x3
d. x6
16. (8x3y)(2x5y9) is equivalent to
a. 16x8y10
b. 10x8y9
c. 6x8y8
d. 16x8y8
17. Which of the following choices is equivalent to
the inequality 9 (P1) 2 (P2.5)?
a. P
4
7
b. P
4
7
c. P2
d. P2
18. At a garage sale, Dave buys three psychology
books that cost $3.25 each, and a vocabulary
book that costs five dollars. Which expression
represents the amount of change, C, he should
get when paying with a twenty-dollar bill?
a. 20 3.25 3(5) C
b. 20 3(3.25) 5 C
c. 3(3.25) 5 C
d. 20 3.25 5 C
19. Which of the following choices represents a
solution to the equation 3x2x2 0?
a. 1
b.
2
3
c. 1
d.
2
3
20. What are the solutions to B28B12 0?
a. B4, 2
b. B8, 4
c. B2, 6
d. B2, 6
21. Solve for x:2x38 62
a. 3
b. 3 or 3
c. 3
d.
1
3
–BASIC SKILLS FOR COLLEGE–