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linear equation in two variables

Total questions: 41

Worksheet time: 51mins

Name
Class
Date
1.

In slope intercept form (y=mx+b) what is the "m"?

a)

The y-intercept

b)

The x-intercept

c)

The slope (rate of change)

d)

A point

2.

In slope intercept form (y=mx+b) what is the "b"?

a)

The y-intercept

b)

The x-intercept

c)

The slope (rate of change)

d)

A point

3.

What is the slope of the equation?

y = -3x + 4

a)

-3

b)

4

c)

-4

d)

3

4.

Given the equation y = 2x+3, what is the slope?

a)

2

b)

x

c)

3

d)

y

5.

What is the y-intercept in the equation?

y = 5x - 4

a)

5

b)

-4

c)

-5

d)

4

6.

What is the y-intercept for the given graph?

a)

-5

b)

5

c)

1

d)

-1

7.

Identify the y-intercept for the linear equation: y=-3x

a)

-3

b)

0

c)

1

d)

-1

8.

Which of the following is in slope-intercept form?

a)

y=10x-7

b)

y-5=3(x-1)

c)

5x-y=12

d)

6x+2y-15=0

9.

The y-intercept of this graph is

a)

4

b)

2

c)

0

d)

5

10.

What is the y-intercept of this graph?

a)

(0,1)

b)

(-1,0)

c)

(0,0)

d)

(0,3)

11.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

12.

Consider the equation:

y=-x+4

Identify the slope and y-intercept.

a)

m=4, b=-x

b)

m=-x, b=4

c)

m=1, b=4

d)

m=-1, b=4

13.

When writing the slope intercept form of the equation 8x+3y=15 what is the first thing that you would do to get "y" by itself?

a)

Subtract 8

b)

Subtract 15

c)

Subtract 8x

d)

Divide by 3

14.
Write the following equation in slope intercept form:
y + 2 = -3(x - 5)
a)
y = -3x + 17
b)
y = -3x + 13
c)
y = -3x - 13
d)
y = -3x - 17
15.

Find the equation of the line in slope-intercept form.

a)

y = - 1/4x - 3

b)

y = 1/3x + 3

c)

y = - 1/4x + 2

d)

y = 1/3x -3

16.

If a pair of linear equation is consistent,then the lines will be

a)

parallel

b)

always coincident

c)

intersecting or coincident

d)

always intersecting

17.

If 2x+3y = 12 and 3x-2y=5 then

a)

x = 2, y = 3

b)

x = 2, y = -3

c)

x = 3, y = 2

d)

x = 3, y = -2

18.

The pair of equation x+2y+5=0 and -3x-6y+1=0 has

a)

A unique solution

b)

Exactly two solutions

c)

Infinitely many solutions

d)

No solution.

19.

If the system of equations kx - 5y = 2, 6x + 2y = 7 has no solution, then k =___

a)

-10

b)

-5

c)

-6

d)

-15

20.

The value of k for which the system of equations 3x+5y=0 and kx+10y=0 have infinitely many solutions is _______

a)

0

b)

2

c)

6

d)

8

21.
For which value(s) of k will the pair of equations kx + 3y = k – 3 12x + ky = k have no solution?
a)
6
b)
−6
c)
± 6
d)
4
22.
a)
Consistent : Unique solution
b)
Consistent: Many Solutions 
c)
Inconsistent: No solution 
d)
None of the above 
23.

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

a)

d + c = 174

4d + 2c = 50

b)

d + c = 50

4d + 2c = 174

c)

d + c = 50

2d + 4c = 174

d)

d + c = 174

2d + 4c = 50

24.

Aruna has only Rs1 and Rs2 coins with her.If the total number of coins that she has is 50 and the amount of money with her is Rs 75,then the number of Rs1 and Rs 2 coins are resp.

a)

35 and 15

b)

35 and 20

c)

15 and 35

d)

25 and 25

25.

The father's age is six times his son's age. Four years hence,the age of the father will be four times his son's age .The present ages, in years ,of the son and father are resp.

a)

4 and 24

b)

5 and 20

c)

6 and 36

d)

3 and 24

26.

a linear equation in two variables has ___________ solutions .

a)

less than 4

b)

infinite

c)

two

27.

the equation x = 7 in two variables can be written as ?

a)

x+0y=7

b)

0x+0y=7

c)

1x+1y=7

28.

if (2,0) is a solution of a linear equation 2x + 3y =k , then the value of k will be ?

a)

4

b)

6

c)

5

d)

2

29.

the linear equation 2x - 5y = 7 has ..?

a)

unique solution

b)

infinite solution

c)

no solution

d)

none of the above

30.

the solution of the equation x - 2y = 4 is ?

a)

(0,2)

b)

(4,0)

c)

(1,1)

d)

(2,0)

31.

1.How many solution does the linear equation in two variableS has?

a)

unique

b)

two

c)

three

d)

infinitely many solutions

32.

which is the correct solution for the linear equation y=2x+3

a)

(1,5)

b)

(2,3)

c)

(0,1)

d)

(5,0)

33.

Express y-2=0 in the form of ax+by+c=0 then the value of a,b and c are

a)

a=1,b=1,c=2

b)

a=0,b=1,c=2

c)

a=0,b=1,c= -2

d)

None of these

34.

If x=5 and y= -1 is the solution of the equation 2x-3y=k,find the value of k

a)

k=13

b)

k= -13

c)

k=7

d)

k= -7

35.

If x=5 and y= -1 is the solution of the equation 2x-3y=k,find the value of k

a)

k=13

b)

k= -13

c)

k=7

d)

k= -7

36.

What type of the graph will you get for every linear equation in two variables

a)

parabola

b)

straight line

c)

curve passing through the origin

d)

none of the above

37.

If the point (-2,4) lies on the graph of the equation 3y=ax+6, find the value of 'a'

a)

a=2

b)

a=7

c)

a= 3

d)

a= -3

38.

Beena and Leema are two friends together contributed Rs.500 for their friend's birthday.Write a linear equation in two variables if their contributions may Rs.x and Rs.y respectively

a)

2x+3y=500

b)

x+y=500

c)

x-y=500

d)

3x+2y=500

39.

Which of the linear equation in two variables passing through the point (2,-7)

a)

2x+3y=4

b)

3x=y+13

c)

x=3y+7

d)

5x+3=2y

40.

The graph x=a is a straight line parallel to _____ axis

a)

x- axis

b)

on the x-axis

c)

y- axis

d)

none of the above

41.

An equation y=3x represents a line passing through the ___

a)

(2,1)

b)

(1,2)

c)

(2,-1)

d)

(0,0)