Unit 7 Summative Review · parallel 1 ©J i2G0q1Y8D VKZuGtgaY CSiotfHtVwnaSrSeG tLhLDCR.y O zAkl\lz SrHiqgLhutTsF QrAeNsPebrFvreRdt.M J cMja^dGeC dwOidtRhq yI`ngfriPnFiktZeK uA\l[gheabGr_ax

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Worksheet by Kuta Software LLC

8th Grade Math

Unit 7 Summative Review

Name___________________________________

Date________________

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-1-

Solve each system by graphing.

1) y = -4x + 3

y = x - 2

x

y

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

(1, -1)

2) y = -2x + 3

y = 2x - 1

x

y

-5 -4 -3 -2 -1 1 2 3 4 5

-5

-4

-3

-2

-1

1

2

3

4

5

(1, 1)

3) y = -2

3x + 1

y = -2

3x - 1

x

y

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

No solution

4) y = -5

2x - 9

y = 2x + 9

x

y

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

(-4, 1)

KEY

-SLOPE : -2 YWTCO ,

3)→ SLOPE : -4 YWTCO,

3)

→ SLOPE : 2 YINT ( 0,

- D7 scope : I YWTCO

,- 2)

aslope : - £ YNTCO,- 9)

-SLOPE : - 23 YWT ( 0 ,D

→ slope : 2 YWT ( 0,9 )

→ slope : -25 Yint ( 0.

- D

1PARALLEL

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-2-

5) 2x + 40 = 10y

7x - 10 = 5y

x

y

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

(5, 5)

6) -y - 7 = 2x

4y = -4 - 2x

x

y

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

(-4, 1)

7) -3y + 4x + 15 = 0

0 = 3y - 15 - 4x

x

y

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

Infinite number of solutions

8) 0 = 7y - 4x - 21

8 + x = -y

x

y

-10 -8 -6 -4 -2 2 4 6 8 10

-10

-8

-6

-4

-2

2

4

6

8

10

(-7, -1)

⇒ ÷ . bite f¥I¥I.efsywn÷E?⇒+7 +7

-scope ! - ¥

5- It '=#¥x

[email protected]¥FI#s?%%%%. + . + .

,w¥=4¥#Y⇐¥"Had

+3y +3 , yitsxt- y=¥×@+4x+iszyg+¥gux_gy→Y="5×+µ

=

IFF→

score : - lxwtlo,

- 8)

E

:* "

|

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-3-

Solve each system.

9) y = 2x + 7

y = -3x - 8

A) (3, 2) B) (-3, 4)

C) (-3, 1)* D) (-3, 2)

10) y = -4x - 10

y = 2x + 8

A) (1, -3) B) (-1, -3)

C) (-4, -3) D) (-3, 2)*

11) y = -3x

y = 4x - 7

A) (3, -1) B) No solution

C) (1, -3)* D) (3, 1)

12) y = -4x + 9

y = -3x + 6

A) (-3, 4) B) (2, 4)

C) (3, -3)* D) (-2, 4)

13) 2x + 3y = 1

6x - 3y = -9

A) (1, 1) B) (-1, 1)*

C) (-2, 1) D) (1, -1)

14) 2x - 3y = 6

-x + 3y = -9

A) (3, 4) B) (-4, -3)

C) (-3, -4)* D) (-6, 4)

15) DeShawn and Adam are selling fruit for a school fundraiser. Customers can buy small boxes of

grapefruit and large boxes of grapefruit. DeShawn sold 2 small boxes of grapefruit and 5 large

boxes of grapefruit for a total of $120. Adam sold 2 small boxes of grapefruit and 6 large boxes

of grapefruit for a total of $140. Find the cost each of one small box of grapefruit and one large

box of grapefruit.

*A) small box of grapefruit: $10, large box of grapefruit: $20

B) small box of grapefruit: $16, large box of grapefruit: $28

C) small box of grapefruit: $20, large box of grapefruit: $10

D) small box of grapefruit: $6, large box of grapefruit: $25

→CHECK ANSWERS BY PLUGWG IN X B Y !

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-4-

16) The school that Castel goes to is selling tickets to the annual talent show. On the first day of

ticket sales the school sold 3 adult tickets and 2 student tickets for a total of $30. The school

took in $26 on the second day by selling 2 adult tickets and 2 student tickets. What is the price

each of one adult ticket and one student ticket?

A) adult ticket: $6, student ticket: $8 B) adult ticket: $4, student ticket: $9*

C) adult ticket: $3, student ticket: $12 D) adult ticket: $5, student ticket: $6

Solve each system by substitution.

17) y = 3

y = x + 6

(-3, 3)

18) y = 4x + 12

y = -2x

(-2, 4)

19) y = x + 7

-2x + 3y = 15

(-6, 1)

20) -3x - 4y = 9

y = 2x - 5

(1, -3)

21) 10x + 2y = -7

5x + y = 2

No solution

22) -4x - 8y = -24

-x + y = -3

(4, 1)

23) 7x - y = -15

-2x - 2y = 18

(-3, -6)

24) 14x - 6y = -4

7x - 3y = -2

Infinite number of solutions

f 3=xt6- 6

: =x

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-5-

Solve each system by elimination.

25) 2x - 5y = -10

-2x + 3y = 2

(5, 4)

26) -x - 4y = -10

-x + 4y = 6

(2, 2)

27) 7x + 6y = -22

-2x + y = 28

(-10, 8)

28) 4x - 10y = -10

-x - 2y = 16

(-10, -3)

29) 6x + 5y = -10

3x - y = 23

(5, -8)

30) -2x - 5y = 0

-4x + 3y = 0

(0, 0)

31) -2x - 7y = 10

3x + 4y = -15

(-5, 0)

32) 7x + 3y = -24

3x - 2y = -30

(-6, 6)

33) The sum of two numbers is 18. Their difference is 4. Find the numbers.

7 and 11

34) Find the value of two numbers if their sum is 20 and their difference is 4.

8 and 12

35) The difference of two numbers is 3. Their sum is 17. Find the numbers.

7 and 10

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-6-

36) The sum of two numbers is 19. Their difference is 5. What are the numbers?

7 and 12

37) The school that Julia goes to is selling tickets to a play. On the first day of ticket sales the school

sold 1 senior citizen ticket and 5 student tickets for a total of $33. The school took in $21 on the

second day by selling 1 senior citizen ticket and 3 student tickets. What is the price each of one

senior citizen ticket and one student ticket?

senior citizen ticket: $3, student ticket: $6

38) Chelsea and Nicole are selling cookie dough for a school fundraiser. Customers can buy

packages of sugar cookie dough and packages of double chocolate cookie dough. Chelsea sold 5

packages of sugar cookie dough and 4 packages of double chocolate cookie dough for a total of

$105. Nicole sold 4 packages of sugar cookie dough and 4 packages of double chocolate cookie

dough for a total of $100. What is the cost each of one package of sugar cookie dough and one

package of double chocolate cookie dough?

package of sugar cookie dough: $5, package of double chocolate cookie dough: $20

39) New York City is a popular field trip destination. This year the senior class at High School A and

the senior class at High School B both planned trips there. The senior class at High School A

rented and filled 5 vans and 12 buses with 445 students. High School B rented and filled 10 vans

and 7 buses with 380 students. Each van and each bus carried the same number of students. Find

the number of students in each van and in each bus.

Van: 17, Bus: 30

40) Kayla and Arjun each improved their yards by planting hostas and ornamental grass. They

bought their supplies from the same store. Kayla spent $44 on 2 hostas and 4 bunches of

ornamental grass. Arjun spent $124 on 10 hostas and 8 bunches of ornamental grass. Find the

cost of one hosta and the cost of one bunch of ornamental grass.

hosta: $6, bunch of ornamental grass: $8

41) Coach Slover has a combination of 25 nickels and dimes in his pocket. If he has $0.95, how many nickels and dimes does he have?

System of Equations _____________________ Nickels _____________

_____________________ Dimes _____________

42) Coach Laurens needs $2.45 to pay for a Monster Energy drink. He uses a combination of 14 quarters and dimes

to pay the cashier. How many of each coin does he use?

System of Equations _____________________ Nickels _____________

_____________________ Dimes _____________

43) Dr. Whaley finds 19 different nickels and dimes underneath the cushions of his couch. When he totaled up his findings, he had $1.25. How many Nickels and Dimes did he have? System of Equations _____________________ Nickels _____________

_____________________ Dimes _____________

X= NICKELS y=Dim±sfChAN$9,Eg§0

•

sx+y=25\×t±E±I×=

×= 11

xios0.05×+0.104=1.95* "y= 11=14

-0.05×-0.054=-1.25.fr#gY=l4X=Q4ARTER5Xty=l4

Ytmnes Quarters

×=7¥.IE#ooiYsNs4?''±¥¥E4=7+-0.154=-1.05

¥ a4=7

-

Xty=l9\×±g=.gx= xe 13

nut 0.05×+0.1011=1.25 - y= y=6BY

-0$- 0.05×-0.054=-0.95 31=13

0=0.30075 as

4=6

Documents

Unit 7 Summative Review · parallel 1 ©J i2G0q1Y8D VKZuGtgaY CSiotfHtVwnaSrSeG tLhLDCR.y O zAkl\lz SrHiqgLhutTsF QrAeNsPebrFvreRdt.M J cMja^dGeC dwOidtRhq yI`ngfriPnFiktZeK uA\l[gheabGr_ax