studyguide-collegelevelmath

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

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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)....
View Full Document

## 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.

### Page1 / 14

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online