1. 12 adult tix is 12a. 18 student tix is 18s. Their difference is 12a – 18s, which equals 36. Because we don’t know which is greater, 12a or 18s, we don’t know if that difference is positive or negative, so we use the absolute value bars to make it positive regardless. ANSWER: C 2. Given the formula in the problem, plug-in 4 for h and 3 for w, and simplify your result using the order of operations and square root properties. p 2 2(h 2 w 2 ) ANSWER: 2 F Use this table for items 3-5. 2(4 2 32 ) 2 2(16 9) 2 2(25) 5 5 2 2 2 2 3. According to the table, each $1000 borrowed at 10% interst for 36 months gives a payment of $32.27. So, $32.27 * 6.5 (thousands of dollars, if borrowing $6500) = $209.76. ANSWER: H 4. According to the given table, payments for the 5% interst loan are lower for the loans that require more payments. So, calculate the monthly payment on each of the 5 loan amounts at 5%, and see which is closest to $300 without going over. Use $18.87 per $100 borrowed. Starting from the bottome, $18.87 * 20 (thousand dollars borrowed) = $377.40. But, $18.87 * 15 (thousand dollars borrowed) = $283.05, which is under a $300 payment. ANSWER: D 5. A 5-year loan is for 60 months. Payments at 8% are $20.28. Payments at 10% are $21.24. 9% is the average of 8% and 10%. So, (20.28 + 21.24) / 2 = $20.76 ANSWER: G 6. There are many ways to find AC. B ecause this is a right isosceles triangle, it is also a 45-45-90. And the hypotenuse of a 45-45-90 triangle is 2 times its legs. So, AC = 10 2 . If you do not recall this, use the Pythagorean Theorem. ANSWER: E 7. Solve the quadratic equation 2x2 + 6x – 36 = 0 instead. Remove common factor 2. x2 + 3x – 18 = 0 Use a ‘peanut box, abc factoring’ or something similar to factor the left hand side. ( x + 6 )( x – 3 ) = 0 Use the Null Factor Law. x+ 6 = 0 or x – 3 = 0 Solve each linear equation. x = -6 or x = 3 Don’t stress the and/or words in this one. ANSWER: G
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