Victory for the ACT Student Text 15e

M ATH Q UIZZES • 261

EXPLANATIONS Ž–‡”ƒ–‹˜‡Ž›ǡ Dz–‡•–Ǧ–Š‡Ǧ–‡•–ǡdz •–ƒ”–‹‰ ™‹–Š ȋ Ȍǣ ƒ ƒš‹— „‘š ™‡‹‰Š– ‘ˆ ʹ͹ ’‘—†• ‡ƒ• –Š‡ ƒ˜‡”ƒ‰‡ „‘š ™‡‹‰Š– ‹• ʹͷ ’‘—†•Ȅ–‘‘ Ž‘™Ǥ ”› –Š‡ ‡š– Žƒ”‰‡” ƒ•™‡”…Š‘‹…‡ǣ ȋ ȌǤ —„•–‹–—–‹‰ ʹͺ ’‘—†• ˆ‘” –Š‡ ƒš‹— „‘š ™‡‹‰Š– ’”‘˜‡• –Š‡ answer is (J). 9. (B) Mathematics/Algebra and Functions/ Solving Algebraic Equations or Inequalities with One Variable/Simple Equations Write an equation for n as described in the item: & & n n n n 2 13 13 2 2 13 2 2 2 13 − = − = & = n n 2 13 2 2 13 − & n n 13 2 13 − = & n 13 15 n 15 13 . Š‡ Dz–‡•–Ǧ–Š‡ –‡•–dz •–”ƒ–‡‰›…ƒ ƒŽ•‘ „‡ used to solve this item. 10. (H) Mathematics/Geometry/Complex Figures and Triangles/Properties of Triangles Š‡ ϐ‹‰—”‡ ‹• ƒ†‡ —’ ‘ˆ –™‘ –”‹ƒ‰Ž‡• ™‹–Š ƒ…‘‘ Š›’‘–‡—•‡ǣ Š‡ –‘’ –”‹ƒ‰Ž‡ ‹• ƒ ͵ǦͶǦͷ –”‹ƒ‰Ž‡ ™‹–Š ƒ Š›’‘–‡—•‡ ‘ˆ ͷǡ •‘ –Š‡ „‘––‘ –”‹ƒ‰Ž‡ǡ ™‹–Š ƒ Š›’‘–‡—•‡ ‘ˆ ͷ ƒ† ‘‡ Ž‡‰ ‘ˆ Ͷǡ —•– ƒŽ•‘ „‡ ƒ ͵ǦͶǦͷ –”‹ƒ‰Ž‡Ǥ Š—•ǡ –Š‡ —Žƒ„‡Ž‡† •‹†‡ Šƒ• ƒ Ž‡‰–Š ‘ˆ ͵Ǥ Š‡ ƒ”‡ƒ ‘ˆ ‘‡ ͵ǦͶǦͷ –”‹ƒ‰Ž‡ ‹•ǣ 6 area b h 2 3 2 4 triangle : : . Thus, 2 area area quadrilateral triangle ^ h ( ) 2 6 12 .

2 , what is the value of n ? is equal to n 13

If n

subtracted from 2

9.

†‹˜‹†‡† „›

Test- the-

13

Test Š‡ ›‘—…ƒǯ– solve the problem †‹”‡…–Ž›ǡ —•‡ –Š‡ answer choices. Remember, one of the answer choices ‹•…‘””‡…–ǡ ƒŽŽ ›‘— Šƒ˜‡ –‘ †‘ ‹• ϐ‹† ‹–Ǥ In problem 9, use –‡•–Ǧ–Š‡Ǧ–‡•– „› ƒ••—‹‰ n is equal to each answer choice. The correct answer choice is the one where n subtracted from 2 13 is equal to n †‹˜‹†‡† „› . 13 2 Throwback to Math Class ›–Šƒ‰‘”‡ƒ triple is a set of three positive ‹–‡‰‡”• –Šƒ– •ƒ–‹•ˆ› –Š‡ ›–Šƒ‰‘”‡ƒ theorem, a b c 2 2 2 + = . The most common ›–Šƒ‰‘”‡ƒ triples are 3-4-5, 5-12-13, and 8-15-17.

Ǥ

2

B.

3

15 13 C. 1 D. 11 13 E. 26

 –Š‡ ϐ‹‰—”‡ „‡Ž‘™ǡ ™Šƒ– ‹• –Š‡ ƒ”‡ƒ ‘ˆ –Š‡ quadrilateral? F. 18 G. 15 H. 12 J. 9 K. 8

10.