Algebra 1 Common Core Student Edition, Grade 8-9

Skills

Handbook,

page 803

Lesson 7-4

Lesson 9-4

Lesson 10-4

Get Read y!

4B Adding and Subtracting Fractions

Find each sum or difference.

2 - + - 2 4 3.

4/ B Simplifying Expressions

Simplify each expression.

rrrp °q*^9 —3 4

mpq9 9 —9^6.

[3a2)3 (2b )U2

7.

24

(if

10

(ir

(7 a3)2 (3b2)~l

4B Factoring to Solve Quadratic Equations

Solve each equation by factoring.

9. x2 - 2x - 63 = 0 10. 12y2 -y = 35


10. w2- 3w = 0 1 3. l i p + 20 = 3p 2


11. 3m2 + 3 3 m + 30 = 0 16. 5d 2 - 2 0 d = 105

CHAPTER

11

4 3_2

5 7

8x 3y 2z4

5 x3yz~2

8.

11. z2 + 2 6 z + 169 = 0


12. 6 r2 + 20 = —34r


13. 6g2 — 7g = 5

4B Solving Radical Equations

Solve each equation. If there is no solution, write no solution.

18. Vx+ 1 = Vx — 2 19. 2 b = Vb + 3 20. V x + 2 =.

Lo o k i n g A h ead V o cab u l ar y

21. If tickets are required for adm ission to a show, anyone w ithout a ticket will be
    excluded. W hat do you th in k it m ean s w h en som e in p u t values of a function are
    allowed b u t o th er in p u t values are excluded?


22. W hen people are rational, they m ake sense. W hen a n u m b e r is rational, it can be
    w ritten as th e ratio of two integers. Do you th in k th a t th e term rational expression
    refers to an expression th at m akes sense or to an expression th a t involves a ratio?


23. Inverting a cup or glass m ean s changing its orien tatio n to th e opposite direction.
    If positive values x and y are related by an inverse variation, do you think they
    increase a n d decrease together? Or do they m ove in opposite directions, one
    decreasing as the o th er increases?

Ch a p t e r 11 Rat io nal Expressions and Funct ions 661