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Unformatted text preview: subtract. 6x + 9y = 21 6x – 4y = 8 13y = 13 y=1 6. (A) Multiply first equation by 3, second by 2, then add. 9x + 6y = 15a + 3b 8x – 6y = 2a + 14b 17x = 17a + 17b x=a+b 5. (D) 2x = 16 5 2x = 80 x = 40 Checking,
80 = 5
16 = 4, which is true. www.petersons.com 132 Chapter 8 7. (D) 4x2 + x = 0 x(4x + 1) = 0 x=0
1 x = 0 or – 4 4x + 1 = 0 8. (A) (x + 12)(x – 3) = 0 x + 12 = 0 x = –12 or +3
x2 + 3 = x + 1 x–3=0 9. (B) x2 + 3 = x2 + 2x + 1 3 = 2x + 1 2 = 2x x=1 Checking,
4 = 1 + 1, which is true. 10. (E) 2 x = –10
x = –5 x = 25 Checking, 2 25 = –10, which is not true. www.petersons.com Literal Expressions 9
4. Express the number of miles covered by a train in one hour if it covers r miles in h hours. (A) rh (B) (C) (D) (E) 5.
h r r h DIAGNOSTIC TEST
Directions: Work out each problem. Circle the letter that appears before your answer. Answers are at the end of the chapter. 1. If one book costs c dollars, what is the cost, in dollars, of m books? (A) (B) (C) (D) (E) 2. m+c
m c c m mc
mc 100 r+h r–h Represent the cost, in dollars, of k pounds of apples at c cents per pound. (A) kc (B) 100kc (C) (D) (E)
kc 100 Express the number of minutes in h hours and m minutes. (A) mh (B) (C) (D) (E)
h +m 60 60(h + m)
h+m 60 100k + c
k +c 100 60h + m 6. 3. If p pencils cost c cents, what is the cost of one pencil? (A) (B) (C) (D) (E)
c p p c Express the number of seats in the school auditorium if there are r rows with s seats each and s rows with r seats each. (A) 2rs (B) 2r + 2s (C) rs + 2 (D) 2r + s (E) r + 2s pc p–c p+c 133 134 Chapter 9 7. How many dimes are there in n nickels and q quarters? (A) (B) (C) (D) (E) 10nq
n+q 10 1 5 n+ q 2 2 9. 10n + 10q
2n + q 10 The cost of a long-distance telephone call is c cents for the first three minutes and m cents for each additional minute. Represent the price of a call lasting d minutes if d is more than 3. (A) c + md (B) c + md – 3m (C) c + md + 3m (D) c + 3md (E) cmd 8. Roger rents a car at a cost of D dollars per day plus c cents per mile. How many dollars must...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.
- Spring '10