Math 097 Names Exam 4 review 10 points

1. The degree of the polynomial 4xy +13 + 9x 3

– 6x 5 is . It has terms.

What is the constant term? What is the coefficient of the x 5 term?

2. Simplify the following polynomial expressions by performing the indicated operations and combining like terms (where appropriate).

– 2

3 a

17æ

è ç

ö

ø ÷ ×

3

4 a

-7æ

è ç

ö

ø ÷ = =

5t 3

+ 5t 3

+ 5t 3 = 5t

3 – 5t

3 – 5t

3 =

5w 3 × 5w

3 × 5w

3 =

5v 9

– 75v 3

15v 6

=

5x 2 y +14xy

2( ) + 30xy2 +10x2y( ) =

=

5x 2 y( ) 14xy2( ) =

10x 2 y

-30xy 2

=

r – 9( ) r + 6( )= n + 2p( ) n – 2p( ) =

-7k 3

u 2

– 9uk + 4k 2( ) =

3. Find the value of the polynomial -x 2

+ xz – y

z2 when x = 7, y = –16, and z = –2.

3c × c 4( )

2 × c

3

5x 2 y +14xy

2( ) – 10x2y + 30xy2( )

4. Write an expression for the both the perimeter of the triangle and the area of the triangle. Simplify each expression as much as possible. perimeter = area =

If the base and height of the triangle are measured in centimeters, what are the units of the triangle’s perimeter and the triangle’s area?

Units of perimeter = Units of area =

5. Factor the polynomials completely. If a polynomial is prime, say so.

18x 6 z

12 – 32x

5 z

15

y 2

+ 9y – 4

81 – p 2

-12c 2

+ 24c -12 6. Solve the equations for the indicated variable.

2x – 5( ) x + 3( ) = 0

9t t – 7( ) = 0

x 2

+17x +16 = 0

y 2

+ 9y – 22 = 0

10 + w 2

– 7w = 0

r 2

– 3r = 54

Meg is in a park, standing on a bridge over a dry riverbed. She shoots an arrow into the air from her location on the bridge. The equation for the height (in feet) of the tip of the arrow above the dry riverbed after t seconds is

h = 48 + 32t – 16t 2 .

a. How high is the tip of the arrow after 1 second? b. How high is bridge? Hint: Where is Meg standing when she shoots the arrow? At what “t” is she shooting the arrow? c. When does the arrow hit the bottom of the dry riverbed?

The final exam will be held on __________________, June ___________. (day) (date) The exam begins at ___________ and ends at ____________ in room _________.

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