<strong>Algebra</strong> 2 <strong>and</strong> <strong>Pre</strong> <strong>Calculus</strong> <strong>Review</strong><strong>Section</strong> 2:Plot <strong>the</strong> points <strong>and</strong> find <strong>the</strong> slope of <strong>the</strong> line passing though <strong>the</strong>m.1. (3, - 4), (5, 2) 2. (1, 2), (- 2, 4)Find <strong>the</strong> slope <strong>and</strong> <strong>the</strong> y-intercept (if possible) of <strong>the</strong> line.3. x 5y 204. x 4Find an equation of <strong>the</strong> line that passes through <strong>the</strong> point <strong>and</strong> has <strong>the</strong> indicated slope.<strong>Sketch</strong> <strong>the</strong> line.Point Slope5. (0, 3)3m 46. (0, 0)2m 37. (0, 2) m 4Find <strong>the</strong> equation of <strong>the</strong> line that passes through <strong>the</strong> points, <strong>and</strong> sketch <strong>the</strong> line.8. (2, 1), (0, - 3) 9. (0, 0), (- 1, 3) 10. (1, - 2), (3, - 2)Write equations of <strong>the</strong> lines through <strong>the</strong> point (a) parallel to <strong>the</strong> given line <strong>and</strong> (b)perpendicular to <strong>the</strong> given line.Point Given Line Point Given Line11. (2, 1) 4x 2y 3 12. 7 3 , 8 4 5x 3y 013. (2, 5) x 414. Find a linear equation that expresses <strong>the</strong> relationship between <strong>the</strong> temperature indegrees Celsius C <strong>and</strong> <strong>the</strong> temperature in degrees Fahrenheit F. Use <strong>the</strong> factthat water freezes at 0°C (32°F) <strong>and</strong> boils at 100°C (212°F). Use <strong>the</strong> equation toconvert 72°F to degrees Celsius.
<strong>Algebra</strong> 2 <strong>and</strong> <strong>Pre</strong> <strong>Calculus</strong> <strong>Review</strong><strong>Section</strong> 3:Evaluate (if possible) <strong>the</strong> function at <strong>the</strong> specified value(s) of <strong>the</strong> independent variable<strong>and</strong> simplify <strong>the</strong> results.1. f ( x) 2x 3a) f (0)b) f (3)c) f (b)d) f ( x 1)2. f ( x) x 3a) f (2)b) f (6)c) f (c)d) f ( x x)3.2x1,x 0f ( x) 2x 2, x 0a) f (1)b) f (0)c) f (2)d) f ( t2 1)4. f ( x)xx15.f ( x) x23f (2 x) f (2)xf ( x x) f ( x)xFind <strong>the</strong> domain <strong>and</strong> range of <strong>the</strong> given function.6. f ( x) 4 x7. f ( x) x 28.2f ( x)9 x 9. f ( x) x 2Determine whe<strong>the</strong>r y is a function of x.2210. x y 411. x y 422212. y x 113. x y x 4y 022