With eight books and more than 30 years of hard-core classroom experience, Bob Miller is the frustrated student's best friend. He breaks down the complexities of every problem into easy-to-understand pieces that any math-phobe can understand-and this fully updated second edition of *Bob Miller's Algebra for the Clueless* covers everything a you need to know to excel in Algebra I and II.

= 5 seconds or −1 seconds. We cannot have negative time because we start with time 88 B O B M I L L E R ’ S A L G E B R A F O R T H E C L U E L E S S t = 0. The answer is 5 seconds. Notice that this formula only holds until 5 seconds. When the object hits the ground, the formula changes. If it’s a ball, it will bounce, but not as high; if it’s a spear, it goes in the ground; if it’s an egg, it goes splat. But the formula changes. Let’s talk more about the problem. The general formula

have slope = zero!! (1,3) (7,3) E X A M P L E 4 — Find the slope between (1,3) and (1,8). 8 − 3 5 m = ᎏ = ᎏ 1 − 1 0 which is undefined. Vertical lines have undefined slopes. In some books they call it infinite slopes. E Q U AT I O N O F T H E L I N E Up to this point, if we wanted a line we were given the equation for it, except for vertical and horizontal lines. Now we are asked to find the line’s equation, given some information. This topic is very important, not too long, and

slant height, is another Pythagorean triple: 6, 8 . . . AF = 10. The surface area is the base, a square plus 4 equal triangles. 1 1 SA = s2 + 4ᎏ2bh = 122 + 4ᎏ2(12)(10) = 384 square units (The base GF is 1/2 of CD. See??!!) For the edge AE, you must see a right angle AFE. Soooo AF2 + EF2 = AE2. EF is 1/2 of DE, which is also 6. 62 + 102 = AE2 AE = ͙1ෆ3ෆ6ෆ = 2͙3ෆ4ෆ units This is a popular problem in geometry books. Let’s go on. . . . E X A M P L E 4 — 10 Find the area and the

37.71 Multiplying and Dividing Decimals E X A M P L E 1 — 45.67 × .932 Steps: Multiply 4567 × 932 = 4,256,444 45.67 Decimal is 2 places to the left .932 Decimal is 3 places to the left F r a c t i o n s , D e c i m a l s , P e r c e n t s , a n d G r a p h s 257 Answer is 2 + 3 = 5 places to the left Answer is 42.56444. But did you ever want to know why you add the places? This is a multiplication question. Well here is the reason. The first number is hundredths. The second number

E X A M P L E 2 — 5(4x + 5y + z) = 20x + 25y + 5z E X A M P L E 3 — 4x3(7x9 + 2x + 3) = 28x12 + 8x4 + 12x3 E X A M P L E 4 — Multiply and simplify 4(2a + 3b) + 6(5a + b) = 8a + 12b + 30a + 6b = 38a + 18b E X A M P L E 5 — (4x + 7y) + (5x − 2y) = 1(4x + 7y) + 1(5x − 2y) = 4x + 7y + 5x − 2y = 9x + 5y (You do not have to write the second step—just know it.) E X A M P L E 6 — NOTE (4a + 5b + 6c) + (a − 2b − 6c) = 4a + a + 5b −2b + 6c − 6c = 5a + 3b 6c – 6c = 0c = 0 (Again, you do not