Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Math 31 (1) Evaluating: =⇒ (2) for x = −2 and y = −5 −5x + 3y − 2 = −5(−2) + 3(−5) − 2 = 10 + (−15) + (−2) = 10 + (−17) = −7 Evaluating: =⇒ −5x + 3y − 2 Answers to Quiz 2 3x2 − x − 5 for x = −0.3 2 2 3x − x − 5 = 3(−0.3) − (−0.3) − 5 = 3(0.09) + 0.3 − 5 = 0.27 + 0.3 − 5 = 0.57 − 5 = 0.57 + (−5) = −4.43 (3) Solve the equation for x: x − 16 = −5 Move −16 to the right hand side (or, add 16 to both sides): =⇒ (4) x = −5 + 16 = 11 Solve the equation for x: −x + 8 = 27 More 8 to the right hand side (or, add (−8) to both sides): =⇒ −x = 27 − 8 =⇒ −x = 19 Divide both sides by (−1) (5) =⇒ Solve the equation for x: x = −19 6x + 7 = −1 + 5x Move 7 to the right hand side and 5x to the left: =⇒ (6) 6x − 5x = −1 − 7 =⇒ Solve the equation for x: x = −8 −0.9x = −72 Divide both sides by (−0.9) =⇒ x = 80 Or, multiply both sides by 10 to change to coefficient to an integer first, =⇒ (7) (10)(−0.9x) = (10)(−72) =⇒ −9x = −720 =⇒ −720 −9 x= = 80 − 53 x = 12 Solve the equation for x: Multiply both sides by 5 (the LCD) to eliminate the denominator: =⇒ −3x = 60 Divide both sides by (−3) (8) =⇒ 4x 5 Solve the equation for x: x = −20 = 6 7 Multiply both sides by the LCD 35: Divide both sides by 28: (9) =⇒ Solve the equation for x: =⇒ x= 30 28 = 28x = 30 15 14 7x − 9x − 11 = 25 − 6x − 4 Simplify both sides first, (by combining like terms:) =⇒ −2x − 11 = 21 − 6x move −11 to the right hand side and move −6x to the left: =⇒ −2x + 6x = 21 + 11 Divide both side by 4 (10) =⇒ =⇒ x= Solve the equation for x: Simplify both side first, 4x = 32 32 4 =8 18 + 5(2x − 3) = x − 3(4 + 2x) =⇒ 18 + 10x − 15 = x − 12 − 6x Move 3 to the right hand side and −5x to the left: 10x + 5x = −12 − 3 =⇒ Divide both sides by 15 15x = −15 =⇒ x = −1 =⇒ 3 + 10x = −5x − 12 (11) Solve the equation for x: 5x − 4(x − 9) = 2x − 3 Simplify both sides first: =⇒ 5x − 4x + 36 = 2x − 3 =⇒ x + 36 = 2x − 3 Move 36 to the right hand side and 2x to the left: =⇒ x − 2x = −3 − 36 =⇒ −x = −39 Divide both sides by (−1) =⇒ x = 39 (12) x 4 Solve the equation for x: − x 3 = 18 Multiply both sides by the LCD 12 to eliminate all the denominators: =⇒ 3x − 4x = 216 =⇒ Divide both sides by −1 (13) −x = 216 =⇒ Solve the equation for x: x = −216 3x 5 −1 = x2 Multiply both sides by the LCD 10 to eliminate all the denominators: =⇒ 6x − 10 = 5x Move −10 to the right hand side and 5x to the left: =⇒ (14) 6x − 5x = 10 =⇒ Solve the equation for x: x = 10 =6−x 5− 3x+1 4 Multiply both sides by the LCD 4 to eliminate the denominators: =⇒ (4)5 − (4)( 3x+1 ) = (4)6 − (4)x 4 =⇒ 20 − (3x + 1) = 24 − 4x =⇒ 20 − 3x − 1 = 24 − 4x Move 19 to the right and −4x to the left: =⇒ =⇒ −3x + 4x = 24 − 19 19 − 3x = 24 − 4x =⇒ x=5