CGP Education's California Algebra I PDF

By CGP Education

ISBN-10: 1600170145

ISBN-13: 9781600170140

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100t 2 ,a ≠ 0 16a2 14. 16 x 2 ,y≠0 y2 15. 8x2 ,y≠0 9 y2 121 144 t2 81 48t 2 72 x 2 8 ,m ≠ 0 m2 27 y 2 Round Up Root signs are really tricky, so it’s a good idea to get rid of them whenever you can. When you multiply or divide roots, you’re left with simpler expressions, which makes math problems a lot easier. 4 Equi v alent F Equiv Frractions California Standards: Here’s another Algebra I Topic that you’ve seen in earlier grades. You’ve used fractions a lot before, but in Algebra I you’ll treat them more formally.

It doesn’t matter if you do (3x + 3y) + 3z or 3x + (3y + 3z) — the result is the same. b) x(3 + y) = x·3 + xy = 3x + xy (using the commutative law of multiplication) c) 3[(x + y) + z] = 3(x + y) + 3z = (3x + 3y) + 3z = 3x + 3y + 3z Independent Practice Identify the property that makes each of the following statements true. 1. 8 × 3 = 3 × 8 2. 2(x + 3) = 2x + 6 3. 9 + 2 = 2 + 9 4. (9 + 2) + 1 = 9 + (2 + 1) 5. 4(p + 1) = 4p + 4 6. (9 × 4) × 5 = 9 × (4 × 5) Expand: 7. a(b + c) 8. 6(t + 5) 9. 12t(s – r) Round Up The thing with these laws is that you’ve been using them for years without thinking about them, so it might seem strange to be taught them now.

4 (t + 2) 4. 200 9. 36( j − 3)2 5. 32 10. 2 64( k + 4)2 Ther e’ s a Di vision Pr oper ty of Squar eR oots Too here’ e’s Division Proper operty Square Roots m m = c c Again, the idea is to look for any factors in the numerator or denominator that are squares. Example 2 Find the following: a) 49 225 b) 3 16 c) ( 2 x + 1)2 1 , x≠ 2 (3x − 1) 3 Solution Check it out: In Example 1 c), the numerator and the denominator are both squares. 3 — Exponents, Roots, and Fractions 2 Guided Practice Find the following.

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California Algebra I by CGP Education


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