Free Printable Linear Equation In One Variable Class 7

1.

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

2.

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

3.

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

4.

Solve for x. $3x+2\left(1-3x\right)=0$

a)

$2=0$ doesn't make sense

b)

$x=1$

c)

$x=\frac{2}{3}$

d)

$2=3x\ \rightarrow$ no solution

5.

Solve.

5(y + 4) = 4(y + 5)

a)

0

b)

2

c)

no solution

d)

All real numbers

6.

Solve:
2(4x - 3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

7.

Solve the following equation: $0.25\left(4x-5\right)=0.75x+8$

a)

37

b)

36

c)

38

d)

35

8.

Solve the equation
-8x - 8 + 3(x - 2) = -3x + 2

a)

x = -8

b)

x = 8

c)

x = 2

d)

x = -2

9.

$\frac{4}{9}\div?\ =\ -\frac{8}{15}$

a)

$-\frac{32}{45}$

b)

$-\frac{8}{5}$

c)

$-\frac{9}{10}$

d)

$-\frac{5}{6}$

10.

Which number is a rational number ?

a)

1/4

b)

π

c)

√3

d)

4.632789...

11.

A linear equation has how many solutions?

a)

0

b)

1

c)

2

d)

More than 2

12.

The shifting of numbers or variables from one side to another side is called

a)

Distribution

b)

Transition

c)

Transposition

d)

Transformation

13.

Linear equation in one variable has

a)

Only one term with variable

b)

One variable with power >1

c)

More than one variable with any power

d)

One variable with power 1

14.

The value of x in 4x-7=17 is

a)

0.6

b)

6

c)

5

d)

6.6

15.

3/7+x=17/7.what is value of x?

a)

1

b)

2

c)

-1

d)

-2

16.

The value of x for which 3x-1and 2x+4are equal is

a)

-3

b)

1

c)

3

d)

5

17.

The digit in the ten's place of a two digit number is 2 more than the digit in unit's place.Let the unit'splace digit is x.Then the number is

a)

11x+2

b)

2x+20

c)

11x+20

d)

10x+20

18.

Write 'True' or 'False'
The solution of a linear equation is always an integer

a)

TRUE

b)

FALSE

19.

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

20.

Write 'True' or 'False'
An algebraic statement becomes an equation when it equals something

a)

TRUE

b)

FALSE

21.

Solve: 7x – 9 = 12

a)

2

b)

- 2

c)

3

d)

NONE OF THESE

22.

Solve for x. $3x-2-x=18$

a)

$x=5$

b)

$x=4$

c)

$x=10$

d)

$x=8$

23.

Solve for x. $3x+2\left(1-3x\right)=0$

a)

$2=0$ doesn't make sense

b)

$x=1$

c)

$x=\frac{2}{3}$

d)

$2=3x\ \rightarrow$ no solution

24.

Write 'True' or 'False'
The solution of a linear equation is always an integer

a)

TRUE

b)

FALSE

25.

Solve y - 3 = 10 then y=?

a)

y = 13

b)

y = 7

c)

y = 6

d)

None of the above

26.

If 2x + 4 = x - 5, then x = ______

a)

9

b)

-9

c)

1

d)

-1

27.

Solve x/2+1/3=-5/3

a)

x=4

b)

x=2

c)

x=-4

d)

x=-2

28.

Solve:
2(4x - 3) - 8 = 4 + 2x

a)

x = 5/3

b)

x = 3

c)

x = 1

d)

x = 2

29.

Find the solution of 2x + 3 = 7

a)

2

b)

- 2

c)

3

d)

NONE OF THESE

30.

Solve: 5x – 7 = 2x + 8

a)

5

b)

- 9

c)

9

d)

- 5

31.

The perimeter of a rectangle is 13 cm and its width is 11/4 cm. Find its length in cm.

a)

15/4

b)

11/4

c)

9/4

d)

NONE OF THESE

32.

Bansi has 3 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of Rs 77, how many coins of each denomination does he have?

a)

7, 21

b)

3, 9

c)

6, 18

d)

5, 15

33.

Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.

a)

45, 30

b)

50, 45

c)

65, 30

d)

NONE OF THESE

34.

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

35.

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

36.

Write 'True' or 'False'

An algebraic statement becomes an equation when it equals something

a)

FALSE

b)

TRUE

37.

Solve for x. $3x+2\left(1-3x\right)=0$

a)

$2=0$ doesn't make sense

b)

$x=1$

c)

$x=\frac{2}{3}$

d)

$2=3x\ \rightarrow$ no solution

38.

Solve.

5(y + 4) = 4(y + 5)

a)

0

b)

2

c)

no solution

d)

All real numbers

39.

The present age of father is four times the age of his son. After 10 years, age of father will become three times the age of his son. Find Father’s age after 10 years.

a)

80 years

b)

90 years

c)

70 years

d)

100 years

40.

The digit in the ten’s place of a two digit number is 3 more than digit in the unit’s place. Let the digit in the units place be b. Then the number is?

a)

$11b+30$

b)

$10b+30$

c)

$11b+3$

d)

$10b+3$

Linear Equation In One Variable Class 7

Total questions: 40

Worksheet time: 2hrs 38mins

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