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MTH 098 TEST 2 SPRING 2010 SHOW YOUR WORK! All fractional answers should be in lowest terms and should be expressed as integers if possible. Each problem counts TWO POINTS unless otherwise marked. __________________________________________________________________________________________________________ 5 1 Simplify. 6) (x - 4) + (x + 4) = x + 3 6 3 1) 99 - 2 · 4 · 5 Find the value of the expression. 2) 5[3 2 + 4(7 + 8)] Simplify the expression. 3) 4 + 8(8 - 9m) 4) -5(-6x + 1) - (3x + 5) - 6x + 6 Solve the problem. You MUST include your equation. 7) If the first and third of three consecutive odd integers are added, the result is 45 less than five times the second integer. Find the third integer. Solve the equation. Do not use decimals. 5) 8x - (7x - 1) = 2 Solve the formula for the specified variable. 8) A = P(1 + nr) for n Give the ordered pairs for the points labeled on the graph. 11) C Solve the inequality, then circle the correct graph of the solution. SHOW WORK! 9) -35x + 25 ≤ -5(6x + 4) A) x ≤ 9 6 7 8 9 10 11 6 7 8 9 10 11 B) x > 9 C) x < 9 6 7 8 9 10 11 6 7 8 9 10 11 D) x ≥ 9 Complete the table of values. (3 pts) 10) y = -x + 6 x 2 6 0 y 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1-1 -2 -3 -4 -5 -6 -7 y 1 2 3 4 5 6 7 x D Use the slope and y-intercept OR make a chart to graph the equation. Show at least three points. (3 pts) 2 12) y = x - 2 5 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1-1 -2 -3 -4 -5 -6 y 1 2 3 4 5 6 x Find the intercepts for the graph of the equation. State them as ORDERED PAIRS. 13) -2x + 5y = 10 x-int____________ y-int_______________ Graph the linear equation. Show at least TWO points. 14) y + 5 = 0 16) x = -8 8 7 6 5 4 3 2 1 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 y 1 2 3 4 5 6 7 8 9 x y 5 -5 5 x Find the slope of the line through the pair of points. Simplify the final answer if possible. 17) (-2, -3) and (5, -7) -5 18) (-7, 6) and (-2, 6) Graph the linear equation. Show at least TWO points. 15) 6x - y = 0 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1-1 -2 -3 -4 -5 -6 y 19) (3, -2) and (3, -3) 1 2 3 4 5 6 x Find the slope of the line. 20) 2x - 3y = 13 Slope_______________ Write the equation of the line with the given slope and y-intercept. 6 21) slope - ; 5 25) 3x + 6y = 12 15x + 30y = 60 y-intercept (0, 8) Graph the line through the given point with the given slope. Show at least one ADDITONAL point besides the given point. Stay on the grid. 22) (-2, -4), m = 3 y 7 6 5 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 Identify the polynomial as a MONOMIAL, BINOMIAL, TRINOMIAL, or NONE of these. GIVE ITS DEGREE. 26) 14x4 + 9w3 + 4w - 3y5 + 2 27) -13x2 1 2 3 4 5 6 7 x Solve the system by the elimination method. 23) 2x - 5y = 16 -7x + 3y = 2 28) -8y5 - 2y4 + 4 29) 9y5 - 7 Evaluate the polynomial. 30) 3x3 + 3x2 - x - 4 for x = -2 Perform the indicated operation. Write the answer with descending powers. (#ʹs 31 and 34 are 2 pts); 32 and 33 are 3 pts) 31) (3a 3 + 4a 2 ) + (9a 3 + 5a 2 ) 24) 9x - 4y = 9 36x - 16y = 45 32) (8n 5 + 8n 4 - 5) - (-4n 4 + 6n 5 + 16) 33) Add. 4n 5 - 2n 2 - 3 41) x · x11 9n 5 - 7n 2 - 6 42) (-7p6 )(-8p9 ) 34) Subtract. 4a 4 - 4a 2 20a 4 - 2a 2 Find the perimeter of the geometric figure. 35) 7k2 + 4x 43) (-2xy)4 (3 pts) 8k2 + 9 44) (-2x5 y2 )3 (3 pts) Identify the base and the exponent for the exponential expression. 36) -4x5 Base________ Exponent________ 37) (-2x)4 45) -r3 s 2 -r2 s3 5 (3 pts) Base________ Exponent________ 38) -(-5)3 Base________ Exponent________ 39) -y5 Base________ Exponent________ Simplify the expression. Write normal numbers when possible: for example, 6 2 should be written as 36. 40) s9 · s3 · s3 46) 3x3 3 (3 pts) y2 Answer Key Testname: MTH 098 TEST 2 SP 10 1) 2) 3) 4) 5) 6) 7) 59 345 68 - 72m 21x - 4 1 6 17 A - P 8) n = Pr 15) y 5 -5 9) D 10) (2, 4); (6, 0); (0, 6) 11) C(-2, 7); D(5, -3) 12) 5 -5 16) y 8 7 6 5 4 3 2 1 5 -5 5 x -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -5 13) (-5, 0); (0, 2) 14) 17) - y 5 -5 y 1 2 3 4 5 6 7 8 9x 4 7 18) 0 19) Undefined 2 20) 3 5 -5 x x 6 21) y = - x + 8 5 22) y 5 -5 5 -5 23) {(-2, -4)} 24) ∅ x Answer Key Testname: MTH 098 TEST 2 SP 10 25) {(x, y)| 3x + 6y = 12} 26) None, degree 5 27) Monomial, degree 2 28) Trinomial, degree 5 29) Binomial, degree 5 30) -14 31) 12a 3 + 9a 2 32) 2n 5 + 12n 4 - 21 33) 13n 5 - 9n 2 - 9 34) -16a 4 - 2a 2 35) 30k2 + 8x + 18 36) Base: x, exponent: 5 37) Base: -2x, exponent: 4 38) Base: -5, exponent: 3 39) Base: y, exponent: 5 40) s15 41) x12 42) 56p15 43) 16x4 y4 44) -8x15y6 45) -r16s17 46) 27x9 y6