6th Grade Math Textbook, Fundamentals

Lesson 5-14 for exercise sets. &KDSWHU 

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To solve a subtraction equation with positive and negative fractions,

apply the Addition Property of Equality.

Solve: n

 n  Add to both sides to isolate n.

 n Rename as fractions with a common denominator, then add.

n

Check: n

 Substitute for n, then subtract.

 Tr u e

To solve an addition or subtraction equation with mixed numbers,

rename so the fraction parts have like denominators.

7

8

3

8

1

2

1

2

4

8

(^1) ?
2
7
8
?
(^12) 
1
2
3
8
3
8
7
8
3
8
4
8
3
8
3
8
3
8
1
2
3
8
1
2
Remember:
Addition Property of Equality
If a b, then a c b c.
Solve for x. Then use substitution to check.
1.x  2.y() 3.  m

4. x 5.x() 6.x 7  13

7.Discuss and Write What steps would you take to solve for k?

k   

3

5

1

2

3

10

4

5

1

2

7

10

3

4

1

12

 3

10

3

5

1

4

3

8

1

2

3

4

 5

8

1

4

Think

104  10 4 ^2225

Think

84  8 4 ^4412

Solve:n 4  17

n 4  4  17  4 Add 4 to both sides to isolate n.

n 17  4 Rename, using a common denominator, then add.

n 21

Check:n 4  17

21  417 Substitute 21 for n.

17 17 Subtract.

1725  1725 Tr u e

2

5

(^4) ?
10
7
10
2
5
(^3) ?
10
7
10
2
5
3
10
7
10
3
10
4
10
3
10
3
10
2
5
3
10
3
10
2
5
3
10