9 weeks test review 8 th grade. simplify…if possible3 3 y + 2 y + y 2 + 5 + y

9 Weeks Test Review8TH GRADE

Simplify…if possible3

3y + 2y + y2 + 5 + y

Answer3

y2 + 6y + 5

Simplify…if possible4

3y2 + 2xy + 1 + 3x + y + 2x2

Answer4

not possible to simplify this expression, since none of the

terms are alike

Finding Area11

 Susan’s apartment is shown at right. 

Assuming that all rooms are rectangular, find the areas described below.  All measurements are in feet. 

Find the area of

her living room. 

Answer11

15 · 18 = 270 ft2  

Simplify…if possible5

3xy + 5x + 2 + 3y + x + 4

Answer5

3xy + 6x + 3y + 6

Think about Algebra Tiles…1

Suppose you put one of your x‑tiles and two unit tiles with another pile of three x‑tiles and five unit tiles. 

What is in this new pile? 

Write it as a sum.

Answer1

 4x + 7

Simplify…if possible6

4m + 2mn + m2 + m + 3m2

Answer6

4m2 + 5m +2mn

Simplify…if possible7

8x2 + 3x − 13x2 + 10x2 − 25x − x

Answer7

5x2 − 23x  

Algebra Tiles2

 Suppose one person in your team has two x2‑tiles, three x‑tiles, and one unit tile on his desk and another person has one x2‑tile, five x‑tiles, and eight unit tiles on her desk. 

You decide to put all of the tiles together on one desk. 

What is the name for this new group of tiles?

Answer2

 3x2 + 8x + 9

Simplify…if possible8

4x + 3y

Answer8

4x + 3y  

Can’t be simplified because of different variables

Find the length of the missing side10

Answer10

7.5  in

Combine Like Terms9

20 + 3xy − 3 + 4y2 + 10 − 2y2

Answer9

2y2 + 3xy + 27

Finding Area12

Find the area of her entire apartment.  

Answer12

28 · 23 = 644 ft2

Finding Perimeter13

Find the perimeter of the kitchen.   

Answer13

52 feet 

Patterns14

How does the pattern grow?

Answer14

It grows by two tiles each time.

Ordered Pairs15

What are the coordinates of the two points in Quadrant II?

Answer15

(–3, 1) and (–2, 3)

Reading a Table17

What can you tell Riley about his plant based on the data?

Answer17

It is growing faster as the days go by.

Ordered Pairs16

What are the coordinates of the two points in Quadrant IV?

Answer16

(2, –1) and (3, –2)

Substitution18

Answer18

11

Substitution19

Answer19

14

Substitution20

Answer20

10

Substitution21

2xy    

x = 5 and  y = −3

Answer21

−30

Total Bill…before tax26

Bo buys 3 flower pots. He has a coupon for $5 off his purchase at the store.

If each pot costs $8, how much is his total bill before tax?

Answer26

$19

Evaluate22

k − m  if  

k = 4  and  m = −10

Answer22

14

Evaluate23

x2 + y2  

if  x = 7  and  y = 5

Answer23

74

Making Equations28

International Phone Company charges a $3 flat rate plus $0.25 per minute for

each phone call between Bolivia and the United States.

If C represents cost and M represents minutes, make an equation to model

this situation.

Answer28

3.00 + .25m = C

Solve24

y = 2x +3 

when x = 4,

what does y equal?

Answer24

14

Solve25

 3 + k = t when t = 14

what does k equal?

Answer25

11

Making Change29

Fabian bought two football tickets to the football game at a cost of $12.50 each.

If he paid with two $20 bills, how much change will Fabian receive?

Answer29

$15.00

Analyze this expression27

8x – 3(x+4)What is the simplified

form of this expression?

Answer27

5x - 12