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studyguide-collegelevelmath - %-/21+ !2//+,+ &/()+0+15...

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Unformatted text preview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x + 2 x + 3 = 5 x x 2- 3 x- 18 4. 11 x 2- 25- 2 x- 5 = 1 x + 5 5. 1 a =- 6 a 2 + 5 6.- 1 x 2- 3 x = 1 x + x x- 3 VII Solve the absolute value equations. 1. | 5- 2 z | - 1 = 8 2. | x + 5 | - 7 =- 2 3. | 5 x- 1 | =- 2 4. 1 2 x- 3 4 = 1 4 5. | y- 1 | = | 7 + y | VIII Solve the exponential equations. 1. 10 x = 1000 2. 10 3 x +5 = 100 3. 2 x +1 = 1 8 4. 3 x 2 (9 x ) = 1 3 5. 2 x 2 ( 4 2 x ) = 1 8 IX Solve the logarithmic equations. 1. log 2 ( x + 5) = log 2 (1- 5 x ) 2. 2 log 3 ( x + 1) = log 3 (4 x ) 3. log 2 ( x + 1) + log 2 ( x- 1) = 3 4. ln x + ln(2 x + 1) = 0 5. ln x + ln( x + 2) = ln 3 6. 3 2 x = 4 x +1 X Solve the radical equations. 1. 4 √ 2 y- 1- 2 = 0 2. √ 2 x + 1 + 5 = 8 3. √ 5 x- 1- 2 √ x + 1 = 0 4. √ x 2 + 9 + x + 1 = 0 5. 3 √ 3 x + 2 + 4 = 6 6. 4 √ w 2 + 7 = 2 XI Solving Inequalities Solve the following inequalities. Express the answer graphically and using interval notation. 1. 3 5 x + 4 ≤ - 2 2. 3( x + 3) ≥ 5( x- 1) 3. 3( x + 2)- 6 >- 2( x- 3) + 14 4. 2 ≤ 3 x- 10 ≤ 5 5. | 4 x + 1 | ≤ 6 6. | 4 x + 3 | + 2 > 9 7. x + 5 3 ≥ 5 8. | 5- 2 x | < 15 9. 3 x 2- 11 x- 4 < 10. 6 x 2 + 5 x ≥ 4 11. x + 2 3- x ≥ 12. ( x + 1)( x- 3) 2 x + 7 ≤ 2 XII Lines and Regions 1. Given the equation 6 x + 5 y = 30, draw the graph and find the x and y intercepts and the slope. 2. Given the equation x =- 3, draw the graph and find the x and y intercepts and the slope. 3. Given the equation y = 4, draw the graph and find the x and y intercepts and the slope. 4. Write, in slope-intercept form, the equation of the line that passes through the points (4 , 6) and (- 4 , 2). 5. Write, in slope-intercept form, the equation of the line perpendicular to the line 4 x- y =- 1 and through the point (2 , 3)....
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This note was uploaded on 02/11/2012 for the course MTH 141, 142, taught by Professor Mcallister during the Spring '08 term at SUNY Empire State.

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studyguide-collegelevelmath - %-/21+ !2//+,+ &/()+0+15...

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