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Wwwpetersonscom geometry 13 5 a rectangular box with a

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Unformatted text preview: + 6 x=8 + =1 Multiply by 6x. 2 x + 12 = 6 x 12 = 4 x x=3 Therefore, Miriam is 19 now and 2 years ago was 17. www.petersons.com Problem Solving in Algebra 195 5. (A) Fast Press x 12 + Slow Press x 18 8. =1 (B) Slow Fast R 48 55 · T x x = D 48x 55x Multiply by 36. 3x + 2 x = 36 5 x = 36 1 x = 7 hours 5 = 7 hours 12 minutes 48 x + 55 x = 515 103x = 515 x = 5 hours 6. (A) Let x = the number of dimes x + 4 = the number of quarters 10 x = the value of dimes in cents 25 x + 100 = the value of quarters in cents Therefore, they will pass each other 5 hours after 9:30 A.M., 2:30 P.M. 9. (A) R Carol Mother 3x = 105 x = 35 m.p.h. ·T 3.5 3 = D 105 3x 10 x + 25 x + 100 = 205 35 x = 105 x=3 30 x She has 30¢ in dimes. 7. (A) Let x = amount invested at 6% x + 150 = amount invested at 3% .06x + .03(x + 150) = 54 10. (D) Let x = number of pennies Frank has 2 x = number of pennies Dan has Multiply by 100 to eliminate decimals 6 x + 3( x + 150 ) = 5400 6 x + 3x + 450 = 5400 9 x = 4950 x = $550 x + 150 = $700 x + 12 = 2 x − 12 x = 24 Therefore, Dan originally had 48 pennies. www.petersons.com Geometry 13 5. A rectangular box with a square base contains 24 cubic feet. If the height of the box is 18 inches, how many feet are there in each side of the base? (A) 4 (B) 2 (C) (D) (E) 6. 23 3 3 2 3 DIAGNOSTIC TEST Directions: Work out each problem. Circle the letter that appears before your answer. Answers are at the end of the chapter. 1. If the angles of a triangle are in the ratio 5 : 6 : 7, the triangle is (A) acute (B) isosceles (C) obtuse (D) right (E) equilateral A circle whose area is 4 has a radius of x. Find the area of a circle whose radius is 3x. (A) 12 (B) 36 (C) 4 3 (D) 48 (E) 144 A spotlight is attached to the ceiling 2 feet from one wall of a room and 3 feet from the wall adjacent. How many feet is it from the intersection of the two walls? (A) 4 (B) 5 (C) 3 2 (D) 13 (E) 2 3 In parallelogram ABCD, angle B is 5 times as large as angle C. What is the measure in degrees of angle...
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