20 bills are there? A) 34 $20 bills B) 13 $20 bills C) 36 $20 bills D) 11 $20 bills 3) The formula A = 113eo022t models the population of a particular city, in thousands, t years after 3) 1998. When will the population of the city reach 144 thousand? A) 2010 B) 2011 C) 2012 = - log x where x represents the concentration of ' ' per liter. Find the hydrogen ion concentration if the pH = 9.4. C) 3.98 x 10-9 D) 3.98x 10-10 A) 282 children B) 248 children C) 218 children D) 258 children Solve the system of equations using matrices. Use Gauss-Jordan elimination. 6) x+ y.- z+W=-5 6) 3x- y+Sz -2w=7 --2x+2y + z - W= 16 -x- 2y-32 +3W=-22 A) -31 '41 {(-21 3/ 4: 1 C) {(-21 '"3: 5/ 1 1 1 1 D) ' Er "' ZI ". /' fl". the logarithmic equation. Be sure to "fed an value that . . . nrmsions. iive the exact answer, ' y '8 nm In the domain of the ongmal logarithmic 13) 3 +91n x :: 0 ..3 1 - I- "l fi) C) {e 1'3} m Solve the system of equations by the substitution method. H) 13) --.- y=4x-1 5y-15x=10 A) {(3, 11)! B) {(-3, 11)} C) {(11, 3)} Divide and express the result in standard form. 4 - 2i IS) 6 + 4'1 2 4 . will will C);--7O-i D)-3----1 13 13 5 20 13 13 Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. 16) 4x-y+3z = 12 t 16) x + 4y + 62 = -32 5x + By + 92 = 20 A) sa B) {(-8, -7, 9)} C) {(s, -7, -2)} D) {(2, -7, -1)} Use Cramer's rule to solve the system. 17) -2x - 9z = -62 -2x+9y+5z=67 7x - 9y = -17 A) {(5: 3: 6)} B) {(4, 5, 6)} C) {(4, -5, -6)} D) {(5, 6, 5)} Use the graph to determine the function's domain and range. IIIIIIIII IIHIII'IIII 'IIIIIII A) domain: (-oo, oo) B) domain: (-w, 2) or (2, on) range: (-w, 4] range: (-m, 4) or (4, on) C) domain: (-oo, 2] D) domain: (-oo, oo) range: (-m, 4] range: (-w, on)8) (9 + 3i)(4 - 6i) A)18+66i B)54+42i Write the augmented matrix for the system of equations. 9) 2x + 32 = 20 5y + 72 = 61 5x - 2y + 92 = 60 A) B) 2 O 3 20 2 O 5 20 0 5 7 61 0 5 -2 61 5 -2 9' 60 3 7 9 60 Evaluate the determinant. 10) 5 -4 5 5 0 3 --1 O -4 A) 68 B) -92 11) Iii! A) 15 B) -15 Find the inverse of the one-to-one function. 12) f(x) = 2x7+ 5 7x+5 2 7 -1 = 2x + 5 B) f (X) A) f'1(x) = C) (-3, -2) C) -'18i2 - 42i + 36 C) 2 03 0 57 5-29 C) -68 7 C) f'1(x) =--'2x - 5 D) (0, -2) D) D) D) 92 54-42i 2 3020 5 7061 5-2960 3) 9) 10)SO!" me Polynomial equation. In order to obtain the first root, use synthetic division to test the possible rational room, 19) 19)x3-7x2+12x-6=0 A) {1,3+43,3451 B) {1,-1,6} C){-1,6+43,6-45} D>{1,6+43,6-43} matrices. Use Gaussian elimination with back-substitution. Solve the system of equations using 20) x+y+ z = 3 20) x-y+52 = 17 2x+ y + z = 4 PJ Kw: *1>} 3> {(3: -1, in C) {(3,1,-1)} D) {(1, --1,3)} DJ