Algebra I and II Semester Final Solutions

The solutions to each of the reviews is below. The parts of each question are separated by semicolons (;) - i.e. 1) a; b; c

A few topics to look at:
Algebra I: slope-intercept form, the slope formula, writing the equation of a line, point-slope form, definition of slope and what it looks like if the slope is +, -, 0, and undefined
Algebra II: exponent properties (table on p 246), general form of exponential and power functions, solving exponential functions by getting common bases, difference between exponential and power functions

Algebra I:
5.1 A Formula for Slope
1) 3; -1/3; undefined
2) 4/5; -0.76; -3; undefined
3) (0, -1), (6, 3); (3, 1), (5, 3); (1, 8), (9, -2); (1, 6), (2, 6); (-5, -5), (-3, -9); (1, -8), (15, -2)
4) y = 2 + x; y = 4 - x; y = 2 - 2x; y = -0.25x

5.3 Point-Slope Form of a Linear Equation
1) m = 2, (1, 3); m = -3/4, (-1, -7.4); m = 6/7, (-5, -4.1); m = -1, (2, 0)
2) y = 3 + 2(x - 4); y = 7 - 2/3(x + 6); y = 4
3) 1.5; y = -10 + 1.5(x + 4); y = -5.5 + 1.5(x + 1)
4) 6/5; y = 81 + 6/5(x - 80) or y = 75 + 6/5(x - 75) or y = 69 + 6/5(x - 70); no, no
5) y = 3+2(x-1) or y = 7+2(x-3); y = 7; y=7-2(x-5) or y=3-3(x-7); y=3

Algebra II:
5.1 Exponential Functions
1) 31.25; 20.189; 10.63; 219.62; 427.963; 21.9282; 3305.07; 2515.0376
3) 5, 15, 45; 250, 125, 62.5; 15.5, 17.05, 18.755; 0.75, 1.65, 3.63; 575, 46, 3.68; 66, 66.66, 67.3266
4) decay; growth; growth; decay; growth; decay
5) 0.75, 25% decrease; 1.125, 12.5% increase; 2.25, 125% increase; 0.888, 11.1% decrease; 0.88, 12% decrease; 1.6, 60% increase
6) 1 = 14700, 2 = 12348, 3 = 10372, 4 = 8713, 5 = 7319; y = 17500(0.84)^x or y = 17500(1 - 0.16)^x

5.2 Properties of Exponents & Power Functions
1) 1/9; 1/64; 1/625; 1/25; 1/343; 1/1000000; -1/256; 1/256; -1/125; 32; -25/9; 36/25
2) x^13; x^7; x^-15; 36x^8; 120x^-11; -120x^-20; x^18; 11x^7; 1.4x^5; x^2; 125x^15; -0.008x^18
3) x = -5; x = 2/3; x = -4; x = -7; x = -2; x = 4/3
4) 3.89; 116.55; 0.09; 5.62; 0.39; 578703.70; 0.91; 1.5; 0.79