Algebra 1 Common Core Student Edition, Grade 8-9

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses

Practice Multiply.

MATHEMATICAL

PRACTICES

11 i i. - 3

14. m

17.

5x

12

m

m + 2 m — 1

4c c2 +3c + 2

2 c + 2 c-^1

20. m -^2 • 2m ---+ 6

3m + 9 2m — 4

{t 2 - t - 6)

26.

t-3

2y+ 9

4y + 12 (y 2 + y - 6 )

12.

15.

18.

21.

24.

27.

3 4

t ’ t

2 x x — 1

x + 1 3

b 2 + 4b+ 4 3b-6

2 b 2 - 8 4b

t 2 -t-12 t+ 1

t + 1

2 m + 1

Find the reciprocal of each expression.

29.x + 1

Divide.

32.

35.

38.

30.

3m — 6

h- 1 ,

6 h + 3 ‘

—6 d2

2d-5

t + 3

(9m2 - 36)

(2h2 + 9h + 4)

x - 1. x + 3

X + 4 ' x + 4 33.

y — 4 4 — y

10 ' 5 36.

3x + 9.

x • ( * + 3 ) 39.

3t + 12. t + 4

5t ' lOf

x2 + 6x + 8. x + 4

x 2 + x — 2

life + 121

I k - 15

2x + 4

(fc+ 11 )

Simplify each complex fraction.

4b - 1

13.

16.

19.

22.

See Problems 1,2, and 3.

5 t

3 a 2 a 3

6x2 2

5 * x + 1

r 2 + 5r + 6 r - 2

2 r

4x+ 1

5x+ 10

25. (x2 - 1)

r+ 3

30x + 60

2x — 2

x — 2

28. (w

3x + 3

8w + 15) 4w —W +^3 20

See Problems 4 and 5.

31. c2 - 1

34.

37.

x — 3. 3 — x

2n2 - 5n — 3. 4« + 5

4«2 - 12« - 7 ‘ 2n - 7

40.4 + 1 ^ 1 1 ^ - 1 )

x2 + 12x+ 11

^ See Problem 6.

41.

43.

b 2 + 2 b + 1

12fc - 3

b2 - 1

6s+ 12

s + 2

42.

44.

3x2 + 2x + 1

8x_____

12x2 + 8x + 4

f — 6

t-3

t + 2

45. x2 + 6x + 5
    2x- 10

47.

49.

g+2

3g~l

g 2 + 2 g

6g + 2

z- 10

z+ 10

3z2 - 30z

46. 3d^2 + 5 d -2
    2d + 4

48.

50.

5 r

10 /

f +1

c + 4

c2 + 5c + 6

3c2 + 12c

2c2 + 5c - 3

674 Chapter 11 Rat io nal Expressions and Funct ions