Solving Linear Equations-Gr 6-Solved Examples

Solved Examples and Worksheet for Solving Linear Equations

Q1Solve:
67 + y = 76

A. 10
B. 9
C. 11
D. 12

Solutions

Step: 1

67 + y = 76

[Original Equation.]

Step: 2

67 + y - 67 = 76 - 67

[Add - 67 on both sides.]

Step: 3

y = 9

[Simplify.]

Step: 4

So, 9 is a solution to the equation 67 + y = 76.

Correct Answer is : 9

Q2Solve for x.
x2 = 1

A. 0
B. 1
C. 12
D. 2

Solutions

Step: 1

x2 = 1

[Original equation.]

Step: 2

x = 1 × 2

[Multiply both sides with 2.]

Step: 3

x = 2

[1 × 2 = 2.]

Step: 4

So the value of x is 2.

Correct Answer is : 2

Q3Find the value of n in the number sentence.
15 = 6 + n

A. 11
B. 10
C. 8
D. 9

Solutions

Step: 1

15 = 6 + n

[Given.]

Step: 2

15 - 6 = n

[Subtract 6 from each side.]

Step: 3

9 = n

[Simplify.]

Step: 4

So, the value of n is 9.

Correct Answer is : 9

Q4What is the value of n in the number sentence shown?
20 = 8 + n
A. 11
B. 14
C. 12
D. 13

Solutions

Step: 1

20 = 8 + n

[Given.]

Step: 2

20 - 8 = n

[Subtract 8 from each side.]

Step: 3

12 = n

[Simplify.]

Step: 4

So, the value of n is 12.

Correct Answer is : 12

Q5Find out the value of n when 28 = 21 + n.
A. 8
B. 7
C. 0
D. 6

Solutions

Step: 1

28 = 21 + n

[Given.]

Step: 2

28 - 21 = n

[Subtract 21 from each side.]

Step: 3

7 = n

[Simplify.]

Step: 4

So, the value of n is 7.

Correct Answer is : 7

Q6Find n if 9 = n + 1.

A. 0
B. 8
C. 10
D. 9

Solutions

Step: 1

9 = n + 1

[Given.]

Step: 2

9 - 1 = n

[Subtract 1 from each side.]

Step: 3

8 = n

[Simplify.]

Step: 4

So, the value of n is 8.

Correct Answer is : 8

Q7What is the value of n in the number sentence?
21 = n + 5

A. 17
B. 18
C. 16
D. 15

Solutions

Step: 1

21 = n + 5

[Given.]

Step: 2

21 - 5 = n

[Subtract 5 from each side.]

Step: 3

16 = n

[Simplify.]

Step: 4

So, the value of n is 16.

Correct Answer is : 16

Q8What is the value of n in the number sentence?
42 = n + 15

A. 29
B. 26
C. 28
D. 27

Solutions

Step: 1

42 = n + 15

[Given.]

Step: 2

42 - 15 = n

[Subtract 15 from each side.]

Step: 3

27 = n

[Simplify.]

Step: 4

So, the value of n is 27.

Correct Answer is : 27

Q9What is the value of n in the number sentence?
46 = n + 15

A. 31
B. 33
C. 29
D. 32

Solutions

Step: 1

46 = n + 15

[Given.]

Step: 2

46 - 15 = n

[Subtract 15 from each side.]

Step: 3

31 = n

[Simplify.]

Step: 4

So, the value of n is 31.

Correct Answer is : 31

Q10What is the value of n in the number sentence?
n + 36 = 68

A. 33
B. 32
C. 34
D. 30

Solutions

Step: 1

n + 36 = 68

[Given.]

Step: 2

n = 68 - 36

[Subtract 36 from each side.]

Step: 3

n = 32

[Simplify.]

Step: 4

So, the value of n is 32.

Correct Answer is : 32

Q11What is the value of n in the number sentence?
61 = n + 4

A. 57
B. 56
C. 58
D. 55

Solutions

Step: 1

61 = n + 4

[Given.]

Step: 2

61 - 4 = n

[Subtract 4 from each side.]

Step: 3

57 = n

[Simplify.]

Step: 4

So, the value of n is 57.

Correct Answer is : 57

Q12What is the value of n in the number sentence?
92 = n + 14
A. 74
B. 79
C. 78
D. 80

Solutions

Step: 1

92 = n + 14

[Given.]

Step: 2

92 - 14 = n

[Subtract 14 from each side.]

Step: 3

78 = n

[Simplify.]

Step: 4

So, the value of n is 78.

Correct Answer is : 78

Q13What is the value of n in the number sentence?
246 + n = 257

A. 9
B. 11
C. 12
D. 13

Solutions

Step: 1

246 + n = 257

[Given.]

Step: 2

n = 257 - 246

[Subtract 246 from each side.]

Step: 3

n = 11

[Simplify.]

Step: 4

So, the value of n is 11.

Correct Answer is : 11

Q14Find the value of n, if n + 8 = 49.

A. 40
B. 42
C. 41
D. 43

Solutions

Step: 1

n + 8 = 49

Step: 2

n = 49 - 8 = 41

Correct Answer is : 41

Q15Identify the inverse operation to solve the number sentence.
12 + n = 20
A. subtract 12
B. subtract 20
C. add 12
D. add 20

Solutions

Step: 1

12 + n = 20

[Given.]

Step: 2

To find the value of n, we need to subtract 12 on both sides of the number sentence.

Step: 3

12 + n - 12 = 20 - 12

Step: 4

n = 8

[Simplify.]

Step: 5

So, the inverse operation "subtract 12" should be used to solve the number sentence.

[Simplify.]

Correct Answer is : subtract 12

Solved Examples and Worksheet for Solving Linear Equations

Related Worksheet

Related Topic

HighSchool Math