Q6 Section: a simplify. Write answers with only positive ...

Q6

Date:____________ Section:

Name___________________________________

Use a combination of rules for exponents to simplify. Write answers with only positive exponents. Assume that all

variables represent nonzero real numbers.

1) (2x-5)2(x2)-4

1)

A)

1 2-10x18

B)

22 x5

C)

22 x18

D) 22x80

2) 8r 5 8r -4 A) 64r9

B) 64r

C) 8r

2)

D)

1 8r

3)

r-5r3 r2r-7

A)

1 r3

B)

1 r7

C) r3

3) D) r7

4)

(x4y-3)2 x-4y2

A)

y12 x8

B)

x8 y6

C)

x12 y8

4)

D)

y8 x6

Evaluate.

5)

06 (-6)0

A) 1

B) -1

C) 0

5) D) -6

6) (-11)0 + (-12)0

A) -2

B) 0

C) 2

Simplify the expression.

7) (-r3s)2( -r4s4)5 A) -r-14s22

B) -r26s22

C) r26s22

Solve the problem. 8) Find an expression that represents the area of the figure.

6) D) -23

7) D) -r1033s1026

8)

2s3 7s4 A) 7s12

Evaluate the expression. 9) (-3)-2

A) -

1 9

B) 14s12 B) 9

C) 7s7 C) -9

D) 14s7

9)

D)

1 9

1

10) 4-1 + 6-1

A)

12 5

B) 2

C)

5 12

10)

D)

-

1 2

Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.

11) 10x4 + 2w3 + 5w - 2y5 + 4

11)

A) Binomial, degree 14

B) Trinomial, degree 13

C) Trinomial, degree 5

D) None, degree 5

Find the value of the polynomial.

12) -5x3 + 3x2 - 32 when x = -2

A) 20

B) 8

C) 10

12) D) 2

13) 2x5 + 4x4 - 4x3 - x2 when x = -2

A) 57

B) 23

C) 28

13) D) 24

Add.

14) (-5 + 6x5 + 6x7 + 7x6) + (9x6 + 5x5 - 8 + 6x7)

14)

A) 39x36 - 13

B) 4x7 + 4x6 - 2x5 + 13

C) 12x14 + 16x12 + 11x10 - 13

D) 12x7 + 16x6 + 11x5 - 13

Add or subtract as indicated.

15) (5x2y - 5xy) - (2x2y + 3xy2) - (2xy - 5xy2)

15)

A) 8x2y - 3xy2 - 7xy

B) 3x2y - 2xy2 - 3xy

C) 3x2y - 2xy2 - 7xy

D) 3x2y + 2xy2 - 7xy

2

Q7

Date:____________ Section:

Name___________________________________

Multiply.

1) (x - 6y)(x - 3y)

1)

A) x2 - 9xy + 18y2

B) x2 - 12xy + 18y2

C) x2 - 9xy - 9y2

D) x - 9xy + 18y

2) (2.5x - 7y)(1.2x + 3y) A) 3x2 - 0.9xy - 21y2 C) 3x2 - 21y2

2) B) 3x - 0.9xy - 21y D) 3x2 - 15.9xy - 21y2

3) (3x2 - 4x - 2)(x2 - 4x - 3) A) 3x4 - 16x3 + 7x2 + 20x + 6

C) 3x4 - 16x3 + 5x2 + 20x + 6

3) B) 3x4 - 12x3 + 7x2 + 20x + 6

D) 3x4 - 12x3 + 5x2 + 20x + 6

Divide. 4) (56x7 + 16x5 - 40x3) ? 8x3 A) 7x7 + 2x5 - 5x3 C) 7x4 + 2x2 - 5

5) (x2 + 9x + 20) ? (x + 5) A) x3 - 15

B) x2 + 4

6) (p2 + 5p - 28) ? (p + 9)

A)

p

-

4

+

8 p +

9

B) p - 4

4) B) 7x4 + 16x5 - 40x3 D) 56x4 + 16x2 - 40

C) x - 15

5) D) x + 4

C)

p +

4 +

8 p +

9

6)

D)

p

-

8

+

4 p +

9

7) (4x3 - 2x2 - 22x - 15) ? (2x + 3)

A) x2 - 4x - 5

B) 2x2 - 5

8) (4x3 - 6x2 - 10x + 16) ? (2x + 1) A) 2x2 - 4x - 3

C)

2x2

-

4x

-

3

+

19 2x +

1

C) 2x2 - 4x - 5

7) D) x2 + 4x + 5

8)

B)

2x2

-

4x

-

3

+

22 2x +

1

D)

x2

-

3

+

-4 2x +

1

Solve the problem.

9) The position of an object moving in a straight line is given by s = 9t2 - 3t, where s is in meters and t 9)

is the time in seconds the object has been in motion. How far will an object move in 6 seconds?

A) 216 meters

B) 54 meters

C) 36 meters

D) 306 meters

10) Total profit P is defined as total revenue R minus total cost C, and is given by the function

10)

P(x) = R(x) - C(x). Find the total profit P(x) if R(x) = 260x - 0.7x2 and C(x) = 6000 + 0.2x2.

A) P(x) = -0.5x2 + 260x - 6000

B) P(x) = 0.9x2 + 260x + 6000

C) P(x) = -0.9x2 - 260x - 6000

D) P(x) = -0.9x2 + 260x - 6000

Provide an appropriate response.

11)

Let

f(x)

=

x2

-

2

and

g(x)

=

4x

+

9.

Find

(f

+

g)(

1 3

).

A)

77 9

B)

25 3

C)

80 9

11)

D)

76 9

1

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