Math 115 Exam #1 Review ... - LAVC Math Department

Math 115 Exam #1 Review Name___________________________________Do the following problems as indicated.Insert , or = to make the statement true.1) -9 _____ -317) - 4 5 7 + - 2 1 22) |-10| _____ |-20|3) 124 _____ 6 218) -15 + 1819) 1 2 + (- 1 4 )4) -|-17| _____ -|-27|5) 0 _____ -8Is the following statement true or false?6) 3 · 6 ≤ 5 + 1020) 0.69 - (-0.54)21) 2 9 - 12122) -10.5 - (-2.4)7) -18 < 08) 5 + 7 ≤ 8(3)23) - 3 4 - 5 8Perform operations as indicated. Write the answer inlowest terms (if it is a fraction).9) 2 1 8 · - 4 910) 2 8 ÷ 7 1011) - 12305612) -3.2(-14)13) - 9 20 - 4 314) -63015) 1 3 ÷ - 5 816)0-324) 12 2 9 - 6 5 625) ∣-8∣ - 42 - (-9 - 6)26) (4 - 3)(4 + 4) - 5227) (-5)(8) - (-15)(2)28)-284 + 329) 2(8) + 71 - 8(2)30)31) -32∣6(-1)∣ - ∣1 - 5∣∣4(11)∣32) -5 233) -(-42)1

If x = -4 and y = -2, evaluate the expression.34) 8x + 2y52) 1 3 a - 1 3 = -235) x4 + 4y36) 4 - 2xy + 2Simplify the expression by combining any like terms.37) -9y - 7x - 2x38) -8y + 2 - 5 + 6 + y - 339) 5.9k - 1.6 - 3.8k + 4 + 2.4k53) 6a - 5 + 2(a + 1) = -(-5a + 6)54) 9x - 6 + 5x - 3 = 455) 0.3x - 0.8x - 8 = 1756) 4x - (3x - 1) = 257) 8x + 6(-2x - 2) = -10 - 6x58) 4x - 4 + 8x - 8 = 2x + 10x - 1540) -7(3n + 8)41) -4(2x - 7) - 4x + 1059) 5(2z - 5) = 9(z + 3)60) 2x5 - x 3 = 342) (8z + 2) - (3z - 1)Write the following phrase(s) as an algebraic expressionand simplify if possible. Let x represent the unknownnumber.43) Six times a number, increased by twelve44) The difference of nineteen and a number,divided by four45) One-half a number, minus eight, plus threetimes the numberSolve the equation.46) t - 8 = 1047) 7y = 6y - 3.248) - 1 9 x = -449) -2x = -1650) x 8 + 6 = 851) 7x + 4x + 7 = -9x61) 0.04(4x + 1) = 0.16(x + 7) - 1.0862) r + 6563)3(y - 2)5= r + 87= 1 - 3y64) 0.15(80) + 0.80x = 0.40(80 + x)65) 1 5 (10x - 15) = 6( 1 3 x - 1 2 ) + 1066) 0.30x - 0.20(60 + x) = -0.15(60)67) -3.5m + 0.7 + 1.6m = 5.7 - 1.9m - 5Solve the proportion.x68)38 = 1 1969) r + 6570) y + 10y= r + 87= 5 32

Substitute the given values into the formula and solve forthe unknown variable.71) A = 1 (b + B)h; A = 102, b = 15, B = 19272) P = 2L + 2W; P = 30, W = 6Solve the formula for the specified variable.73) A = 1 bh for b274) F = 9 C + 32 for C575) S = 2πrh + 2πr2 for hSolve the inequality. Graph the solution set and write itin interval notation.76) x - 2 < -577)x-2 < 778) 14x - 6 ≤ 2(6x - 11)79) 24x + 32 > 4(5x + 17)80) -3(5x - 13) < -18x + 2781) -20x - 16 ≤ -4(4x + 7)Write the following as an equation, using x for theunknown number. Then solve.82) Three times the sum of some number plus 2 isequal to 6 times the number minus 21. Findthe number.83) If 5 times a number is added to -5, the result isequal to 10 times the number. Find thenumber.84) The sum of four times a number and 9 is equalto the difference of twice the number and 4.Find the number.85) Find three consecutive integers whose sum is321.86) During an intramural basketball game, TeamA scored 18 fewer points than Team B.Together, both teams scored a total of 148points. How many points did Team A scoreduring the game?87) Mary and her brother John collect foreigncoins. Mary has twice the number of coins thatJohn has. Together they have 90 foreign coins.Find how many coins Mary has.88) 15% of students at a university attended alecture. If 3000 students are enrolled at theuniversity, about how many students attendedthe lecture?89) Of the 120 students in an algebra class, 8 ofthem received an F on the mid-term exam.What percent of the algebra students receivedan F on the exam? (Round to the nearest tenthof a percent, if necessary.)90) Sales at a local ice cream shop went up 30% in5 years. If 10,000 ice cream cones were sold inthe current year, find the number of ice creamcones sold 5 years ago. (Round to the nearestinteger, if necessary.)91) Two angles are complementary if their sum is90°. If the measure of the first angle is x°, andthe measure of the second angle is (3x - 2)°,find the measure of each angle.92) A chemist needs 90 milliliters of a 77% solutionbut has only 75% and 84% solutions available.Find how many milliliters of each that shouldbe mixed to get the desired solution.93) The ratio of the weight of an object on Earth toan object on Planet X is 5 to 9. If a personweighs 120 pounds on Earth, find his weighton Planet X. (Round to the nearest wholenumber, if necessary.)3

Answer KeyTestname: 115EXAM1REVIEW.WINTER2012TST1) 6) FALSE7) TRUE8) TRUE9) - 171810)51411) - 1 312) 44.813) 3 514) undefined15) - 8 1516) 017) - 7 3 1418) 319) 1 420) 1.2321) 116322) -8.123) - 11824) 5 7 1825) 726) -1727) -1028) -429) - 2315130)2231) -932) 2533) 1634) -3635) 2484

Answer KeyTestname: 115EXAM1REVIEW.WINTER2012TST36) undefined37) -9y - 9x38) -7y39) 4.5k + 2.440) -21n - 5641) -12x + 3842) 5z + 343) 6x + 1244) 19 - x445) 7 2 x - 846) 1847) -3.248) 3649) 850) 1651) - 7 2052) -553) - 154) 131455) -5056) 157) 158) no solution59) 5260) 4561) all real numbers62) -163) 111864) 5065) no solution66) 3067) all real numbers68) x = 269) r = -170) y = 1571) h = 672) L = 973) b = 2A h74) C = 5 (F - 32)975) h = S - 2πr 22πr5

Answer KeyTestname: 115EXAM1REVIEW.WINTER2012TST76) (-∞, -3)77) (-14, ∞)-6 -5 -4 -3 -2 -1 078) (-∞, -8]-17 -16 -15 -14 -13 -12 -1179) (9, ∞)-11 -10 -9 -8 -7 -6 -580) (-∞, -4)6 7 8 9 10 11 1281) [3, ∞)-7 -6 -5 -4 -3 -2 -10 1 2 3 4 5 682) 3 (x+2) = 6x - 21; The number is 9.83) 5x + (-5) = 10x; The n umber is -184) 4x + 9 = 2x - 4; - 13285) x + x+1 + x + 2 = 321;The integers are 106, 107, 10886) x + x - 18 = 148 or y + y + 18 = 148;Team A scored 65 points87) x + 2x = 90 or y + 1 2 y = 90;Mary has 60 coins88) .15 (3000) = x;450 students attended the lecture.n89) · 120 = 8;100About 6.7% of the algebra students received F on the exam.90) x + .30 x = 10,000;About 7692 ice cream cones were sold 5 years ago.91) x + 3x - 2 = 90;1st angle = 23°; 2nd angle = 67°92) .75x + .84(90-x) = .77(90);70 ml of 75%; 20 ml of 84%93) 5 9 = 120x ;His weignht on Planet X is 216 pounds6