Express the number in the statement in standard notation. 8. In 2002, the United States Postal Service served 1.77 Ã 106 new delivery points. a. 177,...
Chapter 7 Test Multiple Choice Identify the choice that best completes the statement or answers the question. Simplify. Assume that no denominator is equal to zero.
Ê ˆÊ ˆ 1. ÁÁ a 5 b 5 ˜˜ ÁÁ a 5 b 3 ˜˜ Ë ¯Ë ¯ 25 15 a. a b b. a 25 b 8
c. d.
a 10 b 15 a 10 b 8
Ê ˆ3 2. ÁÁ 4g 3 h 4 ˜˜ Ë ¯ a. 12g 6 h 7
c. d.
64g 6 h 7 12g 9 h 12
c. d.
33 37
b.
3.
64g 9 h 12
3 10 37 a. 3 −3 b. 1 3
ÊÁ 5 ˆ˜ 2 Á 2a b ˜ Ë ¯ 4. 6 24b a 10 b 4 a. 6 b.
5.
a 10 12b 4
c. d.
a7 6b 4 a 10 6b 4
36m−4 n 6 4mn −2 p −4 a. b.
9n 4 p 4 m3 9n 8 m5 p 4
c. d.
9n 8 p 4 m5 9m5 n8p4
ID: A
Ê ˆÊ ˆ 6. ÁÁ −6hi 2 j 4 ˜˜ ÁÁ 3h 3 ij 3 ˜˜ Ë ¯Ë ¯ 4 3 7 a. 18h i j b.
−18h 4 i 3 j 7
d.
18h 3 i 2 j 12 −18h 3 i 2 j 12
c. d.
3.054 × 10 −4 305.4 × 10 −6
c.
Express the number in scientific notation. 7. 0.0003054 a. 30.54 × 10 −5 b. 0.3054 × 10−3
Express the number in the statement in standard notation. 8. In 2002, the United States Postal Service served 1.77 × 10 6 new delivery points. a. 177,000 c. 177,000,000 b. 17,700,000 d. 1,770,000 Evaluate. Express the result in scientific notation.
Ê ˆÊ ˆ 9. ÁÁ 7.5 × 10 3 ˜˜ ÁÁ 5 × 10 5 ˜˜ Ë ¯Ë ¯ 10 a. 0.375 × 10 b. 3.75 × 10 7
c. d.
37.5 × 10 8 3.75 × 10 9
c. d.
0.98 × 10 9 9.8 × 10 2
11. 10a 5 b 4 a. 20 b. 10
c. d.
9 5
12. 10a 3 b 2 + 13a 4 b 4 − 6a 4 b 6 a. 12 b. 8
c. d.
10 11
10.
49 × 10 3 5 × 10 −5 a. 9.8 × 10 8 b. 9.8 × 10 −2 Find the degree of the polynomial.
Find the sum or difference.
Ê ˆ 13. ÁÁ 5a − 3a 2 ˜˜ + (8 + 7a ) Ë ¯ 2 a. a + 12a + 8 b. −3a 2 + 12a + 8
c. d.
3a 2 + 12a + 8 −3a 2 + 12a − 8
Ê ˆ Ê ˆ 14. ÁÁ 11p − 6q 2 − q ˜˜ − ÁÁ q 2 − 5p + 7p 2 ˜˜ Ë ¯ Ë ¯ 2 2 a. 7p − 7q + 16p − q b. c. d.
Find the product of each sum and difference. 24. (3l + 9) (3l − 9) a. 9l 2 + 27l − 81 b. 9l 2 − 81 Short Answer Express the area of the figure as a monomial. 25.
26.
c. d.
9l 2 + 81 6l
The measures of two sides of a triangle are given. If P is the perimeter, find the measure of the third side. 27. P = 9a + 2b