Pair of Linear Equations Practice 1: Graphs and Consistency

Section A: Concept Check

Question 1mcq

Which equation is already written in the form

ax+by+c=0

?

A.

2x+3y-7=0

B.

y=2x+5

C.

x=4

D.

3y=9

Question 2mcq

For

5x-2y+8=0

, what are the values of

a,b,c

in

ax+by+c=0

?

A.

a=5,b=-2,c=8

B.

a=5,b=2,c=8

C.

a=-5,b=2,c=-8

D.

a=5,b=-2,c=-8

Question 3mcq

Which ordered pair satisfies

x+y=6

and can be used in its value table?

A.

(2,4)

B.

(3,2)

C.

(6,6)

D.

(1,6)

Question 4mcq

A value table for

2x+y=8

has

x=1

. What should be the corresponding value of

y

?

A.

6

B.

7

C.

4

D.

10

Question 5mcq

To plot

x-2y=4

, which two points are both correct for the line?

A.

(4,0)

and

(0,-2)

B.

(4,0)

and

(0,2)

C.

(2,1)

and

(0,-2)

D.

(0,4)

and

(2,0)

Section B: Graph and Reason

Question 6mcq

The lines

x+y=7

and

x-y=1

intersect at

(4,3)

. What is the solution of the pair?

A.

x=4, y=3

B.

x=3, y=4

C.

x=7, y=1

D.

x=1, y=7

Question 7mcq

If two lines intersect at exactly one point, the pair of equations has:

A.one solution

B.no solution

C.infinitely many solutions

D.only negative solutions

Question 8mcq

The equations

2x+3y=6

and

4x+6y=15

represent which type of lines?

A.Parallel lines

B.Coincident lines

C.Intersecting lines

D.Perpendicular lines

Question 9mcq

Which pair represents coincident lines?

A.

x+2y=5

and

2x+4y=10

B.

x+2y=5

and

2x+4y=8

C.

x+y=4

and

x-y=2

D.

2x+y=7

and

x+2y=7

Question 10mcq

For the pair

3x+ky=12

and

6x+8y=24

to have infinitely many solutions, what is

k

?

A.

4

B.

2

C.

8

D.

6