Chapter 15 Resource Masters - Ithaca Public Schools
Chapter 15 Resource Masters - Ithaca Public Schools
Chapter 15 Resource Masters - Ithaca Public Schools
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<strong>Chapter</strong><br />
<strong>15</strong><br />
NAME _____________________________ DATE _______________ PERIOD ________<br />
<strong>Chapter</strong> <strong>15</strong> SAT and ACT Practice<br />
fter working each problem, record the<br />
correct answer on the answer sheet<br />
provided or use your own paper.<br />
Multiple Choice<br />
1. How many lines are determined by<br />
10 points, with no 3 points being<br />
collinear<br />
A 20 B 45<br />
C 81 D 100<br />
E 900<br />
2. If a b is defined to be <br />
a<br />
a<br />
,then<br />
b<br />
b<br />
(3 3) 3 <br />
A 3 B 1<br />
C 3 2 D 9 <br />
4<br />
E 2<br />
9 <br />
3. Which of the following statements is<br />
true in the figure below<br />
A m1 mB<br />
B mA mB<br />
C <br />
AB A D <br />
AE<br />
AC <br />
D <br />
BC A D A<br />
DB <br />
E<br />
E mA m1<br />
4. If x, y, and z are in the ratio 3:1:2 in<br />
the figure below, find z.<br />
A <strong>15</strong><br />
B 30<br />
C 45<br />
D 60<br />
E 90<br />
Note: Figure is NOT<br />
drawn to scale.<br />
5. How many even numbers with one,<br />
two, or three digits can be formed from<br />
the digits 6, 7, and 8 if no digit is<br />
repeated<br />
A 6 B 8<br />
C 9 D 10<br />
E None of these<br />
6. A sports arena has 4 west gates and<br />
6 east gates. How many ways can you<br />
enter the arena through a west gate<br />
and later leave through an east gate<br />
A 10<br />
B 20<br />
C 18<br />
D 24<br />
E None of these<br />
7. The area of each circle inside the<br />
square is 16 units 2 . What is the area<br />
of the shaded region<br />
A (256 64) units 2<br />
B (256 16) units 2<br />
C (64 256) units 2<br />
D (64 64) units 2<br />
E (64 64) units 2<br />
8. What is the maximum possible area of<br />
a rectangle with a width of x units and<br />
a length of 14 x units<br />
A 7 units 2<br />
B 14 units 2<br />
C 49 units 2<br />
D 196 units 2<br />
E None of these<br />
9. Which of the following is a root of<br />
2x 2 <strong>15</strong>x 18 0<br />
A 6<br />
B 1<br />
C 2<br />
1 <br />
D 3<br />
E 6<br />
10. If <br />
4<br />
2 , what is the value of<br />
6 x <br />
5 3<br />
5<br />
x 4<br />
A 1<br />
B 5<br />
C 4<br />
1 5<br />
D 5<br />
E 9<br />
© Glencoe/McGraw-Hill 679 Advanced Mathematical Concepts
<strong>Chapter</strong><br />
<strong>15</strong><br />
NAME _____________________________ DATE _______________ PERIOD ________<br />
<strong>Chapter</strong> <strong>15</strong> SAT and ACT Practice (continued)<br />
11. If {x} is defined to be x 2, find the<br />
value of {{3} {5}}.<br />
A 8<br />
B 10<br />
C 12<br />
D 14<br />
E None of these<br />
a b <br />
12. If is defined to be , then<br />
<br />
A <br />
B <br />
C <br />
D <br />
E <br />
13. Find the arithmetic mean of<br />
3.4x, 7.3x, and 2.1(x 3).<br />
A 6.3 0.6x<br />
B 1.575 0.45x<br />
C 2.1 0.6x<br />
D 2.025x<br />
E 2.7x<br />
16. (p, q) (m, n) is defined to be<br />
(pm qn, pn qm). If (a, b) (x, y) <br />
(a, b) for all (a, b), then (x, y) <br />
A (0, 0)<br />
B (1, 0)<br />
C (0, 1)<br />
D (1, 1)<br />
E None of these<br />
17–18. Quantitative Comparison<br />
A if the quantity in Column A is greater<br />
B if the quantity in Column B is greater<br />
C if the two quantities are equal<br />
D if the relationship cannot be<br />
determined from the information<br />
given<br />
Column A Column B<br />
17. For all positive integers x,<br />
x x if x is even<br />
x x 1 if x is odd<br />
c<br />
61 65 62 64<br />
14. The arithmetic mean of two numbers<br />
is 2. If twice the smaller number is<br />
added to the larger number, the sum<br />
is 4. Find both numbers.<br />
A 8 and 12<br />
B 6 and 10<br />
C 12 and 16<br />
D 4 and 8<br />
E None of these<br />
<strong>15</strong>. If //x// is defined to be<br />
x(x 1)(x 2), then / / 8<br />
<br />
//<br />
<br />
//<br />
2/<br />
/<br />
A 4<br />
B 10<br />
C 20<br />
D 30<br />
E 36<br />
18. For all real numbers x and y,<br />
x * y xy x y<br />
5*x (5) * x<br />
19–20. Refer to the figure below.<br />
19. Grid-In What is the greatest number<br />
of triangles that can be formed using<br />
points on the circle above as vertices of<br />
the triangle<br />
20. Grid-In What is the greatest number<br />
of line segments that can be formed<br />
using points on the circle above as<br />
endpoints<br />
© Glencoe/McGraw-Hill 680 Advanced Mathematical Concepts
<strong>Chapter</strong><br />
<strong>15</strong><br />
NAME _____________________________ DATE _______________ PERIOD ________<br />
<strong>Chapter</strong> <strong>15</strong> Cumulative Review (<strong>Chapter</strong>s 1–<strong>15</strong>)<br />
1. Solve the following system of equations algebraically. 1. __________________<br />
x y 6<br />
3x 5y 26<br />
2. If y varies directly as the cube of x and y 16 when 2. __________________<br />
x 2, find y when x 3.<br />
3. In ABC, a 9, b 6, and c 10. Find mB to 3. __________________<br />
the nearest tenth.<br />
4. Find the value of Sin 1 tan 4 . 4. __________________<br />
5. Given csc 4 and 0 , find the exact 5. __________________<br />
2<br />
value of cos 2.<br />
6. Evaluate 8 3 2 <br />
. 6. _______________________________________________<br />
7. Find the 17th term in the arithmetic 7. __________________<br />
sequence 2, 4, 10, ....<br />
8. How many ways can the letters in the 8. __________________<br />
word temperate be arranged<br />
.<br />
9. Evaluate lim 3x 2<br />
2x<br />
x 3<br />
9. __________________<br />
10. Find the area of the shaded region in 10. __________________<br />
the given graph.<br />
© Glencoe/McGraw-Hill 681 Advanced Mathematical Concepts
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