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Math 96 Test 1 Review

# Math 96 Test 1 Review - Test#1 Review This review is only...

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Unformatted text preview: Test #1 Review This review is only meant to help you get some extra practice with the problems covered in class and assigned as homework. You will only be tested on material covered in class and on the homework. Be sure to also review the homework problems as these review problems are not an exhaustive list of the type you will see on the test. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the function value. x?- + 5 1) f(x)= X3_2X ; f(-4) 1) Find the domain of the rational function. 2) f(x) = 8" ' 9 2) 2 — 15 3) f(p) : 113—13. 3) P 1 - 7x 4 fx =———-—— 4 ) ( ) x2 — 4x - 45 ) Simplify the rational expression. 12x3 5) 4x 5) 3 — x 6) 4X — 12 6) 2x2 — 11x + 9 7) “77‘- 7) Multiply. Simplify if possible. 3 L _.4_ 8) 322 222 P 9 3 9) 3L . y8 9) ley11 2 _ 2 10) L}— . ._X._ 10) y + 2 >2 _ yz _ 2 11) (t X) . t 11) Divide. Simplify if possible. _ 2 _ 12) (y 56) + 5y 3O 25 12) 2 _ 13> (x + 5)—:—X—1§:*—5 13) 22+1lz+24; z2+3z 14) . ———— 14 22+16z+64 z2+14z+48 ) Perform the indicated operation. Simplify if possible. 3 m 15 ) m + 3 + m + 3 15) 3a + 9b 3a — 9b 16 — ) 2 2 16) Find the least common denominator (LCD). 7 3 17 —- , — ’ t t - 4 17> 2 5 18 , ———— ) ley 6x2 18) 7 9 19 —— , —— 19 )x2+3x+2 x2+6x+5 ) Rewrite the rational expression as an equivalent rational expression with the given denominator. 2 20 — = ) 3X 15x2 20) Perform the indicated operation. Simplify if possible. 7 2 21 — - — ) xz X 3 6 22 —- ) X + x — 5 22) 8 25 23 ) x - 6 + 6 — x 23) 9 24) X + 4 + 2 24) Simplify. 26) —1 —1 29) 3.1;}— m—1_Z—1 Solve the equation. 1 90 301 —-=— )+x X2 3]) m+3 m2—4m +4 Solve the equation for the specified variable. 32) The gas law: ET! 2 4?; for P Solve the proportion. 1 3 33 — )w+5 5w m—3 m2—4m+4 m2—4m+4 Q0 25) 26) 27) 28) 29) 30) 31) 32) 33) Solve. 34) A painter can finish painting a house in 6 hours. Her assistant takes 8 hours to finish the 34) same job. How long would it take for them to complete the job if they were working together? Graph the linear function by finding x— and y—intercepts. 35) 6x + 12y = 36 35) Find an equation of the line passing through the given points. Use function notation to write the equation. 36) (3, —23), (—2, 2) 36) Find the equation of the line. Use function notation to write the equation. 37) Slope 4; through (—3, 5) 37) Find the equation of the line. Write the equation using function notation. 38) Through (4, 3); perpendicular to 4x - 7y 2 4 38) 39) Through (6, —6); parallel to 5x + 6y = 18 39) Graph the function. 40) g(x): lx+51 40) Solve. 41) The amount of water used to take a shower is directly proportional to the amount of time 41) that the shower is in use. A shower lasting 17 minutes requires 13.6 gallons of water. Find the amount of water used in a shower lasting 6 minutes. 42) The amount of time it takes a swimmer to swim a race is inversely proportional to the 42) average speed of the swimmer A swimmer finishes a race in 120 seconds with an average speed of 5 feet per second. Find the average speed of the swimmer if it takes 150 seconds to finish the race. 43) The amount of paint needed to cover the walls of a room varies jointly as the perimeter of 43) the room and the height of the wall. If a room with a perimeter of 35 feet and 23—foot walls requires 2.8 quarts of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 55 feet and 10—foot walls Find the variation equation for the variation statement. 44) h varies directly as f and inversely as g h = 5 when f: 40 and g = 56 44) U1 Answer Key Teﬂnanm:kb¥ﬂi96TESf1REVHSN 3 1-.. )8 2) {x l x is a real number} 3) {p I p is a real number and p z 0} 4) {x I x is a real number and x a: 9, x z —5} ) 1 >7 10) 1 11) t—x t+x 12)y—6 13)_x+5 X—5 z + 6 z 15) 1 16) 9b 17) t(t — 4) 18) 30x2y 19) (x + 2)(x +1)(x + 5) 10x 15x2 7 — 2x X2 9x —- 15 x(x — 5) 17 x—6 2X+17 x+4 14) 20) 21) 22) 23) — 24) 25) 40 26) L 8; 5) 28) z+m 2—111 29) Answer Key Testname: MATH 96 TEST 1 REVIEW 30) —10, 9 31) 2 : EVT 32) P W 15 33) — 7 36) f(x) = ~5x - 8 37) f(x) = 4x +17 38) f(x) = - Zx + 10 41) 4.8 gallons 42) 4 feet per second 43) 5.5 quarts 44)h=Z—f— g ...
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