Unit 2 Test Review

Graphing

100

y= x+2
y= −x+6

(2, 4)

200

y= 2x−1
y= −x+8

(3, 5)

300

y= −2x+7
y= x−2

(3, 1)

400

y= 3x−5
y= −x+7

(3, 4)

500

y= −x+1
y= 2x−8

(3, -2)

Substitution

100

y = 4 

x + y = 10

(6, 4)

200

x = −2 

2x + y = 7

(-2, 11)

300

y = 2x 

x + y = 9

(3, 6)

400

x = 5y 

x + y = 12

(10, 2)

500

y = 5x 

2x + y = 21

(3, 15)

Elimination

100

x + y = 8 

−x + 2y = 4

(4, 4)

200

2x + y = 9

−2x + 3y = 7

(2, 5)

300

x + 2y = 10 

−x + 3y = 5

(4, 3)

400

−3x + 2y = 4

3x + y = 11

(2, 5)

500

2x − y = 7 

−2x + 4y = 8

(4, 1)

Solving Systems

100

Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adult tickets and student tickets did they buy?

(14, 4)

200

A theater is selling tickets for a performance. Mr. Smith purchased 8 senior tickets and 5 child tickets for $136 for his friends and family. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96. What is the price of each type of ticket?

(12, 8)

300

A school play sold 25 tickets. Adult tickets cost $8 and student tickets cost $5. The school made $170 from ticket sales. How many adult tickets and student tickets were sold?

(5, 20)

400

A basketball game sold 30 tickets. Adult tickets cost $7 and student tickets cost $4. The total money collected was $162. How many adult tickets and student tickets were sold?

(14, 16)

500

A school is selling tickets for a basketball game. Mrs. Johnson purchased 6 adult tickets and 4 student tickets for $76. Mr. Davis purchased 3 adult tickets and 5 student tickets for $55. What is the price of each type of ticket?

(8, 7)