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Grade-8 linear equation in one variable

Total questions: 20

Worksheet time: 11mins

Name
Class
Date
1.
Which of the following is not a linear equation?
a)
3x - 1 = -2x
b)
xy - 3 = x
c)
(x-5)⁄7 = (x-2)⁄3
d)
x + 2y = 10
2.
The number of solutions to a linear equation is _____
a)
1
b)
2
c)
3
d)
None of the above
3.
Solve for y :  y - 3 = 10
a)
y = 13
b)
y = 7
c)
y = 6
d)
None of the above
4.
If 2x + 4 = x - 5, then x = ______
a)
9
b)
-9
c)
1
d)
-1
5.
Construct linear equation for the following statement:
Two numbers are in the ratio 5 : 7 and sum of the numbers is 120
a)
5x + 7 x = 120
b)
5x - 7x =120
c)
x⁄5 + x⁄7 = 120
d)
None of the above
6.
Identify two consecutive multiples of 3 whose sum is 57.
a)
24 and 33
b)
27 and 30
c)
21 and 36
d)
None of the above
7.
Identify the linear equation in two variables from the given equations
a)
2x = 4x + 3
b)
x - 3y = 6
c)
4x - 4 + 8x = 5
d)
None of the above
8.
Write 'True' or 'False'
An algebraic statement becomes an equation when it equals something
a)
TRUE
b)
FALSE
9.
Solve. 
-9x = -72
a)
-8
b)
8
c)
-7
d)
7
10.
Solve. 
3x - 4 - 5x = x + 4 + x
a)
-4
b)
2
c)
4
d)
-2
11.

Solve the linear equation.


x - 15 = -19

a)

x = 34

b)

x = -34

c)

x = 4

d)

x = -4

12.

Which of the following is not a linear equation?

a)

3x - 1 = - 2x

b)

xy - 3 = x

c)

x + 2y = 10

d)

(x-5) ⁄ 7 = (x-2) ⁄ 3

13.

The number of solutions to a linear equation is _____

a)

1

b)

2

c)

3

d)

None of the above

14.

Construct linear equation for the following statement:

Two numbers are in the ratio 5 : 7 and sum of the numbers is 120

a)

5x + 7x = 120

b)

5x - 7x =120

c)

x ⁄ 5 + x ⁄ 7 = 120

d)

None of the above

15.

Identify two consecutive multiples of 3 whose sum is 57.

a)

24 and 33

b)

27 and 30

c)

21 and 36

d)

None of the above

16.

Which of the following is not a linear equation in one variable?

a)

33

b)

33(x+y)

c)

33x

d)

33y

17.

 What should be subtracted from 47\frac{4}{7}  to get  27-\frac{2}{7}  

a)

 17-\frac{1}{7}  

b)

 57\frac{5}{7}  

c)

 67\frac{6}{7}  

d)

 37-\frac{3}{7}  

18.

The sum of three consecutive multiples of 11 is 165.

The largest of them is -

a)

99

b)

55

c)

66

d)

88

19.

Age of Anu and Manu are in ratio 5:4. Six years from now their age will be in the ratio 7:6.


Sum of their present ages is

a)

24

b)

27

c)

30

d)

33

20.

A linear equation have

a)

only one solution

b)

more than one solution

c)

Don't know