Math142 Algebra Review1. Which of the following is equivalent to5 − 3a12+2a?(a)20 −7a − 3a22(b)10a − 6a2a +4(c)5a − 3a2a +2(d)10a +6a2a−2(e) 5a − 3a22. Which of the following is equivalent to6z530zn+2.(a)15z7−n(b)15zn+7(c)15z3−n(d)15zn+3(e)15z5n+23. Given that1a+1b=4and1a−b=6,thena=(a)110(b)10(c)5(d)15(e) −14.√80px5(a) 4√x (b) 2√x (c) 4x (d) 16√x (e) 2x5. If 4y=21/2√8,theny=(a) 2 (b) −2(c)−12(d)12(e) 16. Find all values of x that satisfy | 3 − 2x |≤ 5(a) < (b) x ≥−1(c)−1≤x≤4(d)φ(e) −1 ≥ x ≥ 47. What is the distance between the two points (5, 4) and (−2, 3) ?(a) 5√2(b)10(c)√58 (d) 8 (e) 58. Suppose that x + y = −2andx−2y=−8. Then x − y =(a) 0 (b) 4 (c) −2(d)−6(e)−49. If g(x)=(x−1)2and f(x)=3x+2,then (g◦f)(x)=(a) 9x2+1 (b) 9x2+6x+1 (c)3x2−6x+5 (d)3x2+5 (e)6x2+110. A water tank is initially15full. After adding 22 gallons of water, it is34full. What is the capacity ofthe tank in gallons?(a) 50 (b) 40 (c) 30 (d) 25 (e) 6011. The slope of the line having equation x = −2y +5is(a)−12(b) 2 (c)12(d) −2(e)−112. Simplify:√50 +√8(a) 2√15 (b) 14 (c)√60 (d) 10√2(e)7√213. The domain of the function f(x)=x2−x−2x2−2x−3is(a) <,x 6=3,−1(b)<,x6=3 (c)<,x6=3,2(d)<,x 6=2,3,−1(e)<14. Which of the following equals (x2− 3x +2)2?(a) x4+9x3−13x2+12x+4 (b) x4−6x3−5x2−12x +4 (c)x4+9x2+4(d) x4− 6x3+13x2−12x +4 (e) x4−6x3+10x2−12x +415. The perimeter of a rectangle is eight times its width. If the length of the rectangle is 60 inches, whatis its width in inches?(a) 40 (b) 20 (c) 10 (d) 180 (e) 12016. Which of the following is equivalent to2x2− 7x − 43x2− 14x +8?(a)2x − 43x +8(b)2x +43x−8(c)2x +13x−2(d)2x − 13x +2(e)23x2+12x −1217. Factor: 6x2+13x+6(a) (6x +6)(x+1) (b) (3x+ 2)(2x +3) (c) (2x+ 2)(3x +3)(d) (3x + 2)(3x +2) (e) (6x+1)(x+6)18. Expand: (ex− e−x)(ex+ e−x)(a) e2x− e−2x(b) ex2− e−x2(c) 2 (d) 2ex− 2ex(e) e2x+ e−2x19. Simplify:x − 12−x3(a)2x − 36(b)x − 36(c)−16(d)x − 12(e)x − 1620. Simplify: 64−23(a) 512 (b)116(c) 16 (d)1512(e)
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