7.1 Puzzle: Crossword Name _________________________ Solve each problem. Write your answer in the crossword puzzle below. Each numerical answer should be written in word form. (Don’t forget hyphens where appropriate!) Across 1. The ratio of two complementary angles is 3 to 7. Find the measure of the larger one. 5. A ____?____ is a is a comparison of two quantities by division. 7. The measures of the angles of a triangle are in the ratio 1:3:5. How many degrees is the middle-sized angle? 8. Find the value of x: 6 2 x5 3 9. Find the value of y: y 7.5 6 9 10. If a c a3 c ? , then . 3 11 3 11 Down 2. Mary is making a party mix to bring to school. She believes that the perfect ratio of pretzels to peanuts is 3 to 5. If Mary knows that she is going to use 65 peanuts in the mix, how many pretzels will she need? 3. a c b d is equivalent to . In other words, if two fractions are in proportion, their __?__ are also in c d a c proportion. 4. The first and last numbers in a proportion are known as the _?__. 6. Find the value of 4 z 2 2z 6 3 5 Simplify each radical completely by finding a perfect square to go into each. 11. 7 28 a) 28 7 b) 9 7 c) 18 c) 49 2 d) 14 7 12. 4 50 5 32 a) 13. 3 2 b) 2 d) 0 2 11 2 a) 44 b) 4 11 d) 2 11 c) 22 14. Factor x2 – 64 by Square Roots. a) (x – 8) b) (x + 8)(x – 8) c) (x + 4)(x – 4) d) (x + 2)(x – 2) b) (x + 3)(x – 10) c) (x + 6)(x – 5) d) (x + 2)(x – 5) 15. Factor x2 + 7x – 30 . a) (x + 10)(x – 3) 16. Factor the trinomial with a coefficient that is not 1: 2x2 – 7x – 15 a) (2x + 3)(x – 5) b) (2x – 3)(x – 5) c) (2x – 3)(x + 5) d) (2x + 3)(x + 5) c) x = 0 and x = –6 d) x = 2 and x = 6 17. Solve the set of factors: 2x(x – 6) = 0 a) x = 2 and x = –6 b) x = 0 and x = 6 18. Solve the equation by factoring: a) x = 2 and x = –9 x2 – 7x – 18 = 0 b) x = 2 and x = 5 c) x = –6 and x = 3 d) x = 9 and x = –2
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