17) 21) xy z ) xy. 23) x - z for x = -3 and z = 5. 24) x - z for x = -5 and z = 2. 25) x - z for x = -3 and z = 5

Transcription

1 Math 081 Worksheet Section 11.1 v01 Spring 2011 Dressler Name Evaluate the expression for the given replacement values. 1) 3 + 4x for x = 4 2) 7 + 3x for x = 7 3) -x - z for x = -4 and z = 7 4) -y - z for y = -5 and z = 9 5) x - y + z for x = 22, y = 9, z = 5 6) x - y + z for x = 23, y = 7, z = 3 17) y z 18) 6 + 2y z 19) 3x - y 2z 20) 3x - y 2z 21) xy z for y = -5 and z = 3 for y = -3 and z = 4 for x = -6, y = 4, and z = -4 for x = -6, y = 4, and z = -5 for x = -6, y = -3, and z = 4 7) x + 4z for x = 3 and z = -7 8) x + 4z for x = 2 and z = -5 9) 5 + (4y- 3) for y = -4 10) 5 + (3y- 2) for y = -6 11) x2-3y for x = 5 and y = -5 12) x2-3y for x = 5 and y = -3 22) xy z for x = -4, y = -2, and z = 4 23) x - z for x = -3 and z = 5 24) x - z for x = -5 and z = 2 25) x - z for x = -3 and z = 5 26) x - y + z for x = 23, y = 9, z = 1 27) 5 + (3y - 2) for y = -3 13) 6xz 15 for x = -5 and z = 3 28) 5xz 15 for x = -5 and z = 3 14) 7xz 30 for x = -5 and z = 6 29) 3x - y 2z for x = -5, y = 2, and z = -4 15) 3x - 2 y for x = 6 and y = -2 30) x - z for x = -3 and z = 6 16) 3x - 2 y for x = 10 and y = -4 31) x + 3z for x = 3 and z = -7 32) x - y + z for x = 25, y = 10, z = 4

2 Solve. 33) Find the area of a rectangular plot of land that measures 80 feet by 140 feet. Use A = lw. 34) Find the area of a rectangular plot of land that measures 80 feet by 120 feet. Use A = lw. 35) Find the area of a rectangular room that is 27 feet long and 10 feet wide. Use A = lw. 36) Find the area of a rectangular room that is 16 feet long and 12 feet wide. Use A = lw. 37) A decorator wishes to put a wallpaper border around a rectangular room that measures 8 feet by 6 feet. Find the room's perimeter. Use P = 2l + 2w. 38) A decorator wishes to put a wallpaper border around a rectangular room that measures 12 feet by 5 feet. Find the room's perimeter. Use P = 2l + 2w. 39) Find how much fencing will a rancher need to enclose a rectangular lot 63 feet by 81 feet. Use P = 2l + 2w. 40) Find how much fencing will a rancher need to enclose a rectangular lot 53 feet by 114 feet. Use P = 2l + 2w. 41) How much interest will $9000 in a savings account earn in 5 years at United Bank, which pays 6% simple interest: Use I = prt. 42) How much interest will $13,000 in a savings account earn in 3 years at United Bank, which pays 7% simple interest: Use I = prt. 43) Find the area of a circular braided rug with a radius of 1.5 feet. Use A = πr2 and π ) Find the area of a circular braided rug with a radius of 12.5 feet. Use A = πr2 and π ) A weather forecaster has predicted a high temperature of 34 C for tomorrow. Find this temperature in degrees Fahrenheit. Use F = 9 5 C ) A weather forecaster has predicted a high temperature of 17 C for tomorrow. Find this temperature in degrees Fahrenheit. Use F = 9 5 C ) At a particular business it is required that the temperature be kept at 72 F, but the thermostat is calibrated in degrees Celsius. Find the temperature to be set in degrees Celsius. Use C = 5 (F - 32) and round to the nearest tenth of 9 a degree if necessary. 48) At a particular business it is required that the temperature be kept at 76 F, but the thermostat is calibrated in degrees Celsius. Find the temperature to be set in degrees Celsius. Use C = 5 (F - 32) and round to the nearest tenth of 9 a degree if necessary. 49) Find the volume of a box that measures 3 inches by 4 inches by 5 inches. Use V = lwh. 50) Find the volume of a box that measures 3 inches by 5 inches by 9 inches. Use V = lwh. 51) Find the area of a circular braided rug with a radius of 10.5 feet. Use A = πr2 and π ) Find how much fencing will a rancher need to enclose a rectangular lot 107 feet by 52 feet. Use P = 2l + 2w. 53) Find the volume of a box that measures 8 inches by 2 inches by 9 inches. Use V = lwh. 54) Find the area of a rectangular plot of land that measures 70 feet by 150 feet. Use A = lw. 55) Find the area of a circular braided rug with a radius of 6.5 feet. Use A = πr2 and π

3 Simplify the expression by combining like terms. 56) 9x + 7x 57) 5x - 8x 58) 7b - 3b 59) 9b - 7b 77) -8y y ) 11x x - x ) -3b + 3a - 5c - 5b - 8a 80) y y 60) 2y + y - 8y 81) y y 61) 5y + y - 9y 62) 4x - 9x - x 63) 3x - 11x - x 82) y y 83) 8a b + 2a b - 10a 64) 9x - x - 2x - x 84) -9a b + 2a - 2-5b + 7a 65) 6x + x - 2x + x 85) 4x - 7x - x 66) 9b - 7b ) 2x - 5x - x 67) 8b - 3b ) 5x x ) 9a - 6a + a ) -7y y ) 5a - 2a - a ) 12x x - x ) -0.8y y ) y y 71) 1.4y - 9-9y ) 5x - 2-2x ) 5x x ) -7y- 2x - 5x 75) -6y- 4x - 2x 76) -4y y ) 9a b - 7a b - 2a 92) 8x x ) -4y y ) 9x x + x ) y y 96) -4a b - 3a b + 7a 3

4 Multiply. 97) 11(24x) Simplify the expression. 116) 3(x + 1) ) 10(21v) 117) 3(x - 3) ) -11(18y) 118) 5(5 - x) ) -8(19x) 119) 12(2z + 5) ) -0.9(4x) 120) -5(9y + 6) ) -0.3(4x) 121) 6x + 5(x + 1) 103) -0.3(2x) 122) 9x + 3(x + 7) 104) 2 3 (-12n) 123) -5(x + 2) - 7x 124) -4(x + 1) + 9x 105) 4 5 (-20n) 125) 3(3x - 4) - 4x 106) 2 3 (-6n) 126) 9x + 7(x + 3) ) 2 3 (-15n) 108) 3(x + 2) 109) 5(x + 3) 110) 8(y - 8) 111) 3(y - 7) 112) 9(3x + 9) 127) 7x - 4(6 + x) ) 7(3x + 2) + 8(x + 4) 129) 8(6x - 2) - 5(x - 3) 130) 6(5x - 3) - 3(x - 1) 131) 2(8x + 4) - 5(x + 3) 132) 76(265x + 594) ) 71(265x + 599) ) -7(4a + 6) 114) 3.3(3y - 0.3) 115) 1 (-10y- 5) 2 4

5 Solve. 134) Find the area of the figure. Use A = s2. 139) Find the volume. Use V = lwh. 9y centimeters 2 yd 135) Find the area of the figure. Use A = s2. 7x yd 8.8 yd 8y centimeters 140) Find the area of the figure. 14 miles (4x + 3) miles 136) Find the area of the figure. Use A = lw. 3 feet (3x - 5) miles (x + 7) feet 3 miles 137) Find the area of the figure. Use A = lw. 141) Find the area of the figure. 13 miles 5 feet (3x + 5) miles (x + 5) feet (5x - 1) miles 138) Find the volume. Use V = lwh. 5 miles 7 yd 3x yd 6.4 yd 5

6 Answer Key Testname: WS11.1V01 1) 19 2) 28 3) -3 4) -4 5) 18 6) 19 7) -25 8) -18 9) ) ) 40 12) 34 13) -6 14) -7 15) -8 16) -7 17) 0 18) 0 19) ) ) ) ) ) ) ) 15 27) -6 28) -5 29) ) ) ) 19 33) 11,200 sq ft. 34) 9600 sq ft. 35) 270 sq ft 36) 192 sq ft 37) 28 ft 38) 34 ft 39) 288 ft 40) 334 ft 41) $ ) $ ) 7.07 sq ft 44) sq ft 45) 93.2 F

7 Answer Key Testname: WS11.1V01 46) 62.6 F 47) 22.2 C 48) 24.4 C 49) 60 cu in. 50) 135 cu in. 51) sq ft 52) 318 ft 53) 144 cu in. 54) 10,500 sq ft. 55) sq ft 56) 16x 57) -3x 58) 4b 59) 2b 60) -5y 61) -3y 62) -6x 63) -9x 64) 5x 65) 6x 66) 2b ) 5b ) 4a ) 2a ) 8.2y ) -7.6y ) 3x ) 7x ) -7y- 7x 75) -6y- 6x 76) -3y 77) -7y 78) 13x ) -5a - 8b - 5c 80) y 81) y 82) y 83) 6.1b ) -3.7b ) -4x 86) -4x 87) 7x ) -6y 89) 16x ) y 7

8 Answer Key Testname: WS11.1V01 91) 8.3b ) 12x ) -3y 94) 13x ) y 96) 3.2b ) 264x 98) 210v 99) -198y 100) -152x 101) -3.6x 102) -1.2x 103) -0.6x 104) -8n 105) -16n 106) -4n 107) -10n 108) 3x ) 5x ) 8y ) 3y ) 27x ) -28a ) 9.9y ) -5y ) 3x ) 3x ) 31-5x 119) 24z ) -45y ) 11x ) 12x ) -12x ) 5x ) 5x ) 16x ) 3x ) 29x ) 43x ) 27x ) 11x ) 20,140x + 42, ) 18,815x + 39, ) 81y2 sq cm 135) 64y2 sq cm 136) (3x + 21) sq ft 137) (5x + 25) sq ft 8

9 Answer Key Testname: WS11.1V01 138) 134.4x cu yd 139) 123.2x cu yd 140) (65x + 27) sq mi 141) (64x + 60) sq mi 9