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Chapter 6 Exam Linear Systems (15)

Total questions: 15

Worksheet time: 34mins

Name
Class
Date
1.

Name three type of linear systems studied in chapter 6

a)

Mr. Van is funny

b)

intersecting

parallel

camping is fun

c)

parallel

coincidental

intersecting

d)

green

blue

red

2.

Yes or No, is (2,2) the solution to the system

x + y = 22 and x - y = 4

a)

yes

b)

no

c)

parallel

d)

I do not know

3.

If you graph a coincidental system the solution is always

(x, y ) or no solution or y = mx + b ?

a)

(x, y)

b)

no solution

c)

infinite

d)

y = mx + b

4.

Is (5, 7) or (6, 4) the solution to the system

3x + y = 22 and x - y =2?

a)

parallel

b)

(6, 4)

c)

(5, 7)

d)

both

5.

Is (8, 7) or (5, 4) or (-10, 1) the solution to the system

x - y = 1 and x + y = 9?

a)

parallel

b)

(8, 7)

c)

(-10, 1)

d)

(5, 4)

6.

What is the solution in the graph below?

a)

y = mx + b

b)

parallel

c)

no solution

7.

Graph the system y = 3x + 1 and y = 2x + 2

and determine the solution

a)

(4, 1)

b)

intersecting

c)

(4, 4)

d)

(1, 4)

8.

Solve by using the substitution method

2x + y = 14 and y = x - 1

a)

(5, 3)

b)

(5, 4)

c)

no solution

d)

(6, 2)

9.

Solve by using the elimination method for addition or subtraction

6x + 2y = 2

5x - 2y = 9

a)

(1, 2)

b)

(2, 1)

c)

no solution

d)

(1, -2)

10.

Solve by using the elimination method for multiplication

2x + 4y = 16

3x - 3y = 15

a)

(1, 6)

b)

(6, 0)

c)

(6, 1)

d)

(1, -6)

11.

What is the solution to the system?

a)

intersecting system

b)

Mr. Van is tall

c)

(2, 2)

d)

(-2, -2)

12.

The sum of our individual age is 29. Our difference is 1.

How old is Mr. Van ?

a)

16

b)

15

c)

14

d)

17

13.

Mr. Van has 26 coins worth $5 in his pocket. If all the coins are either dimes or quarters how many of each kind does he have?

a)

10 dimes and 16 quarters

b)

16 dimes and 10 quarters

c)

Mr. Van is rich

d)

Mr. Van is poor

14.

Two teams went to the entertainment center and spent money on game and batting tokens. Team A... 3 game tokens, 4 batting tokens, total cost $29. Team B... 2 game tokens, 4 batting tokens, total cost $26. What is the cost of 2 game tokens and 3 batting tokens?

a)

$18

b)

$20

c)

$21

d)

$25

15.

Graph the solution to the following system of inequalities

y < -2x + 0 and y > 1x - 3

a)

Mr. Van will grade this problem when I return my paper to him on Monday

b)

Mr. Van likes the rain

c)

Mr. Van is the GOAT

d)

Mr. Van is not the GOAT