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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 (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

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