9 Weeks Test Review 8 TH GRADE

Simplify…if possible3  3 y + 2 y + y y

Answer3  y y + 5

Simplify…if possible4  3 y xy x + y + 2 x 2

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 ft 2

Simplify…if possible5  3 xy + 5 x y + x + 4

Answer5  3 xy + 6 x + 3 y + 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  4 m + 2 mn + m 2 + m + 3 m 2

Answer6  4 m m +2 mn

Simplify…if possible7  8 x x − 13 x x 2 − 25 x − x

Answer7  5 x 2 − 23 x

Algebra Tiles2  Suppose one person in your team has two x 2 ‑ tiles, three x ‑ tiles, and one unit tile on his desk and another person has one x 2 ‑ 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  3x 2 + 8x + 9

Simplify…if possible8  4 x + 3 y

Answer8  4 x + 3 y  Can’t be simplified because of different variables

Find the length of the missing side10

Answer10  7.5 in

Combine Like Terms9  xy − y − 2 y 2

Answer9  2 y xy + 27

Finding Area12 Find the area of her entire apartment.

Answer12  28 · 23 = 644 ft 2

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 2 xy 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 x 2 + y 2 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  m = 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