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MTH 098 TEST 2 SUMMER 2009 SHOW YOUR WORK! All fractional answers should be simplified and in lowest terms and should be expressed as integers if possible. Each problem counts 2 points unless otherwise marked. _____________________________________________________________________________________________________________________ Simplify the expression. 1) -14 - (8 - 13x) Complete the ordered pairs. Graph the equation by plotting the points and drawing a line through them. (3 pts) 1 5) y = - x + 3 4 (0, ), (4, ), (-4, ) y Solve the equation. (3 pts each) 2) 5x + 6x - 5 = -2x 5 -5 x 5 -5 3) 1 4 12 q - q = q - 21 3 7 Graph the linear equation. Show at least TWO points. 6) y + 2 = 0 y 5 -5 Solve the formula for the specified variable. 1 4) V = Bh for B 5 5 -5 x 11) 4x + 4y = 11 20x + 20y = 55 7) x = -2 y 5 -5 5 x -5 Identify the polynomial as a MONOMIAL, BINOMIAL, TRINOMIAL, or none of these. GIVE ITS DEGREE. 12) -6x2 Find the slope of the line through the pair of points. 8) (-3, -2) and (4, -8) 13) 11y9 - 5 14) 14c6 + 9c5 + 7c4 Find the slope of the line. 9) 3x - 4y = 18 Evaluate the polynomial. 15) 5x2 + 2x - 8 for x = -2 Solve the system by the elimination method. 10) 3x - 7y = -1 -7x + 4y = 27 Perform the indicated operation. 16) (6a 5 - 6a 3 ) + (7a 5 + 8a 3 ) 17) Subtract. 5n 7 - 9n 4 8n 7 - 13n 4 Find the perimeter of the geometric figure. 18) 7x2 + 8x 23) 3y3 (4y + 2)(y - 3) 4x2 - 2x 24) (9x - 1)(x2 - 4x + 1) Simplify the expression. Use positive exponents. 19) (3p2 )(-4p3 ) Use the power rules for exponents to simplify. Write the answer in exponential form. 20) (-3x3 y2 )3 Simplify the expression. Use positive exponents. 21) -r3 s 2 -r2 s 3 5 Find the square. 25) ( 8 x - 3 y) 2 Find the product. 26) ( 7 p + 10 )( 7 p - 10 ) 27) 4x + 3 3 4x - 5 5 Find the product. (3 pts each) 22) 2x8 (3x5 + 7x8 + 6) Evaluate. (1 pt each) 28) (-7)0 29) -9 0 Evaluate the expression. (1 pt each except #33 is 2 pts) 30) 2 -4 31) 38) x5 y-3 3 x-2 y4 5 -3 3 32) -5 -2 Perform the division. Write the answer with positive exponents. 18x7 - 12x4 39) -3x7 33) 9 -1 + 3-1 Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers. (1 pt each) y-6 34) y4 Write the number in scientific notation. (1 pt each) 40) 44,000 41) .000118 35) 36) t5 t7 2 -2 r Use a combination of rules for exponents to simplify. Write answers with only positive exponents. 37) t-7 · t5 · t-6 Write the number without exponents. (1 pt each) 42) 5.45 × 106 43) 3.29 × 10-4 Factor out the greatest common factor. 44) 30m 8 + 36m 5 + 60m 3 Factor by grouping. 45) 15a 3 - 25a 2 b - 18ab2 + 30b3 49) 15z 2 + 8z - 16 46) r3 + r2 + 2r + 2 50) 49x2 - 9 51) 49x2 + 4 Factor completely. Factor out a negative if the first term is negative. 47) 2x2 - 16x + 30 52) x4 - 16 48) -18x2 - 15x + 18 53) 25x2 - 30x + 9 Answer Key Testname: MTH 098 TEST 2 SU 09 1) -22 + 13q 5 2) 13 11) Infinite number of solutions 12) Monomial, degree 2 13) Binomial, degree 9 14) Trinomial, degree 6 15) 8 16) 13a 5 + 2a 3 3) -2 4) B = 5V h 17) -3n 7 + 29n 4 - 14 18) 22x2 + 12x + 66 5) (0, 3), (4, 2), (-4, 4) y 19) -12p5 20) -27x9 y6 10 21) -r16s17 22) 6x13 + 14x12 + 12x8 5 -10 -5 5 10 -5 23) 12y5 - 30y4 - 18y3 24) 9x3 - 37x2 + 13x - 1 25) 64 x2 - 48 xy + 9 y2 26) 49 p2 - 100 -10 27) 16x2 - 6) 28) 1 29) -1 1 30) 16 y 10 5 31) -10 -5 5 10 y 10 4 9 34) 1 y10 35) 1 t2 36) 2r2 1 37) t8 5 -5 5 -5 1 25 33) -10 7) 27 125 32) - -5 -10 10 38) x17 y13 39) -6 + -10 8) - 9) 6 7 3 4 10) {(-5, -2)} 9 25 4 x3 40) 4.4 × 104 41) 1.18 × 10-4 42) 5,450,000 43) .000329 44) 6m 3 (5m 5 + 6m 2 + 10) 45) (5a 2 - 6b2 )(3a - 5b) 46) (r2 + 2)(r + 1) 47) 2(x - 3)(x - 5) 48) -3(3x - 2)(2x + 3) 49) (3z + 4)(5z - 4) 50) (7x + 3)(7x - 3) 51) Prime 52) (x2 + 4)(x + 2)(x - 2) 53) (5x + 3)2