Key Concept 10-1b

(over Lesson 10-1)

1. Simplify

A.

B.

C.

D.

1. A2. B3. C4. D

(over Lesson 10-1)

2. Simplify

A. 288

B. 144

C.

D.

A. AB. BC. CD. D

(over Lesson 10-1)

3. Simplify

A.

B.

C.

D. 2

1. A2. B3. C4. D

4. The formula for the total surface area of a cube with side s is 6s2. The surface area of a cube is 648 square feet. What is the length of side s?

(over Lesson 10-1)

A.

B.

C.

D.

1. A2. B3. C4. D

(over Lesson 10-2)

5. Simplify

A.

B.

C.

D.

1. A2. B3. C4. D

(over Lesson 10-2)

6. Find

A.

B.

C.

D.

A. AB. BC. CD. D

(over Lesson 10-2)

7. Find

A.

B.

C.

D.

1. A2. B3. C4. D

8. What is the area of the triangle shown?

(over Lesson 10-2)

A. cm2

B. cm2

C. cm2

D. cm2

1. A2. B3. C4. D

A. 1

B. 2

C. 5

D. no solution

(over Lesson 10-3)

9. Solve

1. A2. B3. C4. D

A. 88

B. 74

C. 16

D. no solution

(over Lesson 10-3)

10. Solve

1. A2. B3. C4. D

A. 12

B. 144

C. 222

D. 228

11. The square root of the sum of a number and 3 is 15. What is the number?

(over Lesson 10-3)

1. A2. B3. C4. D

A. 14.00

B. 10.30

C. 7.48

D. 6.71

12. Find c if c is the measure of the hypotenuse of a right triangle, a = 5, and b = 9. If necessary, round to the nearest hundredth.

(over Lesson 10-4)

A. AB. BC. CD. D

A. 12.45

B. 11.18

C. 10.63

D. 9.11

(over Lesson 10-4)

13. Find b if c is the measure of the hypotenuse of a right triangle, a = 6, and c = . If necessary, round to the nearest hundredth.

1. A2. B3. C4. D

14. A triangular plot of land has sides of 52 feet, 48 feet, and 22 feet. Is the plot of land a right triangle? Explain.

(over Lesson 10-4)

A. yes; 522 > 482 + 222

B. yes; 522 = 482 + 222

C. no; 52 48 + 22

D. no; 522 > 482 + 222

1. A2. B3. C4. D

15. What is the height of an equilateral triangle whose sides measure 10 inches?

(over Lesson 10-4)

A. inches

B. 5 inches

C. inches

D. 10 inches

1. A2. B3. C4. D

A. 5.25

B. 6

C. 16

D. 14

16. Find the measure of WX if (over Lesson 10-6)

1. A2. B3. C4. D

17. Find the distance between the points (–2, –4) and (3, 8). Express answers in simplest radical form and as decimal approximations rounded to the nearest hundredth, if necessary.

(over Lesson 10-5)

A. 13

B. 12

C.

D.

1. A2. B3. C4. D

18. Find the distance between the points (–5, 0) and (1, –7). Express answers in simplest radical form and as decimal approximations rounded to the nearest hundredth, if necessary.

(over Lesson 10-5)

A.

B.

C.

D.

1. A2. B3. C4. D

A. (3, 0)

B. (2, 2)

C. (2, 0)

D. (0, 3)

19. Point P is located at (2, 3). Which point is a distance of 2 units away from point P?

(over Lesson 10-5)

A. AB. BC. CD. D

A. –12 or 36

B. –13 or 37

C. –36 or 12

D. –37 or 13

Bonus: Find the possible values of a if (9, –12) and (2, a) are 25 units apart.

(over Lesson 10-5)