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D b ac d b ac d b ac bd ac bd ac 2 the product of 34

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Unformatted text preview: is 1 1 1 3. divided by the product of (–18) and – 3 , the quotient is (A) (B) (C) (D) (E) +2 –2 + 1 2 1 – 2 2 – 3 1 Solve for y: 7x – 2y = 2 3x + 4y = 30 (A) 2 (B) 6 (C) 1 (D) 11 (E) –4 Solve for x: x + y = a x–y=b (A) a + b (B) a – b (C) (D) (E) 1 (a + b) 2 1 ab 2 1 ( a – b) 2 6. 115 116 Chapter 8 7. Solve for x: 4x2 – 2x = 0 (A) (B) (C) (D) (E) 1 only 2 9. 0 only – 1 only 2 Solve for x: x + 1 – 3 = –7 (A) 15 (B) 47 (C) 51 (D) 39 (E) no solution 1 or 0 2 1 – or 0 2 8. Solve for x: x2 – 4x – 21 = 0 (A) 7 or 3 (B) –7 or –3 (C) –7 or 3 (D) 7 or –3 (E) none of these 10. Solve for x: x 2 + 7 – 1 = x (A) 9 (B) 3 (c) –3 (D) 2 (E) no solution www.petersons.com Concepts of Algebra—Signed Numbers and Equations 117 1. SIGNED NUMBERS The rules for operations with signed numbers are basic to successful work in algebra. Be sure you know, and can apply, the following rules. Addition: To add numbers with the same sign, add the magnitudes of the numbers and keep the same sign. To add numbers with different signs, subtract the magnitudes of the numbers and use the sign of the number with the greater magnitude. Example: Add the following: +4 +7 +11 –4 –7 –11 –4 +7 +3 +4 –7 –3 Subtraction: Change the sign of the number to be subtracted and proceed with the rules for addition. Remember that subtracting is really adding the additive inverse. Example: Subtract the following: +4 +7 –3 –4 –7 +3 –4 +7 –11 +4 –7 +11 Multiplication: If there is an odd number of negative factors, the product is negative. An even number of negative factors gives a positive product. Example: Find the following products: (+4)(+7) = +28 (–4)(–7) = +28 (+4)(–7) = –28 (–4)(+7) = –28 Division: If the signs are the same, the quotient is positive. If the signs are different, the quotient is negative. Example: Divide the following: +28 = +7 +4 –28 = +7 –4 –28 = –7 +4 +28 = –7 –4 www.petersons.com 118 Chapter 8 Exercise 1 Work ou...
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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.

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