Question

you must show your work to get credit!! check your answer.
adding and subtracting

1. $y + 6 = 20$
2. $x - 10 = 12$
3. $12 + z = 15$
4. $2 + n = 16$
5. $a + 4 = 14$
6. $m - 5 = -10$
7. $4 + b = 30$
8. $10 + c = 25$
9. $x - 60 = 20$
10. $g - 16 = 4$
11. $x - 15 = -20$
12. $w + 14 = 10$
13. $r - 18 = 27$
14. $13 + k = 25$
15. $f - 16 = 34$
16. $j + 17 = 19$
17. $r - 16 = 5$
18. $9 + t = 56$

Explanation:

Step1: Solve \( y + 6 = 20 \)

Subtract 6 from both sides: \( y + 6 - 6 = 20 - 6 \)
\( y = 14 \)
Check: \( 14 + 6 = 20 \), correct.

Step2: Solve \( x - 10 = 12 \)

Add 10 to both sides: \( x - 10 + 10 = 12 + 10 \)
\( x = 22 \)
Check: \( 22 - 10 = 12 \), correct.

Step3: Solve \( 12 + z = 15 \)

Subtract 12 from both sides: \( 12 + z - 12 = 15 - 12 \)
\( z = 3 \)
Check: \( 12 + 3 = 15 \), correct.

Step4: Solve \( 2 + n = 16 \)

Subtract 2 from both sides: \( 2 + n - 2 = 16 - 2 \)
\( n = 14 \)
Check: \( 2 + 14 = 16 \), correct.

Step5: Solve \( a + 4 = 14 \)

Subtract 4 from both sides: \( a + 4 - 4 = 14 - 4 \)
\( a = 10 \)
Check: \( 10 + 4 = 14 \), correct.

Step6: Solve \( m - 5 = -10 \)

Add 5 to both sides: \( m - 5 + 5 = -10 + 5 \)
\( m = -5 \)
Check: \( -5 - 5 = -10 \), correct.

Step7: Solve \( 4 + b = 30 \)

Subtract 4 from both sides: \( 4 + b - 4 = 30 - 4 \)
\( b = 26 \)
Check: \( 4 + 26 = 30 \), correct.

Step8: Solve \( 10 + c = 25 \)

Subtract 10 from both sides: \( 10 + c - 10 = 25 - 10 \)
\( c = 15 \)
Check: \( 10 + 15 = 25 \), correct.

Step9: Solve \( x - 60 = 20 \)

Add 60 to both sides: \( x - 60 + 60 = 20 + 60 \)
\( x = 80 \)
Check: \( 80 - 60 = 20 \), correct.

Step10: Solve \( g - 16 = 4 \)

Add 16 to both sides: \( g - 16 + 16 = 4 + 16 \)
\( g = 20 \)
Check: \( 20 - 16 = 4 \), correct.

Step11: Solve \( x - 15 = -20 \)

Add 15 to both sides: \( x - 15 + 15 = -20 + 15 \)
\( x = -5 \)
Check: \( -5 - 15 = -20 \), correct.

Step12: Solve \( w + 14 = 10 \)

Subtract 14 from both sides: \( w + 14 - 14 = 10 - 14 \)
\( w = -4 \)
Check: \( -4 + 14 = 10 \), correct.

Step13: Solve \( r - 18 = 27 \)

Add 18 to both sides: \( r - 18 + 18 = 27 + 18 \)
\( r = 45 \)
Check: \( 45 - 18 = 27 \), correct.

Step14: Solve \( 13 + k = 25 \)

Subtract 13 from both sides: \( 13 + k - 13 = 25 - 13 \)
\( k = 12 \)
Check: \( 13 + 12 = 25 \), correct.

Step15: Solve \( f - 16 = 34 \)

Add 16 to both sides: \( f - 16 + 16 = 34 + 16 \)
\( f = 50 \)
Check: \( 50 - 16 = 34 \), correct.

Step16: Solve \( j + 17 = 19 \)

Subtract 17 from both sides: \( j + 17 - 17 = 19 - 17 \)
\( j = 2 \)
Check: \( 2 + 17 = 19 \), correct.

Step17: Solve \( r - 16 = 5 \)

Add 16 to both sides: \( r - 16 + 16 = 5 + 16 \)
\( r = 21 \)
Check: \( 21 - 16 = 5 \), correct.

Step18: Solve \( 9 + t = 56 \)

Subtract 9 from both sides: \( 9 + t - 9 = 56 - 9 \)
\( t = 47 \)
Check: \( 9 + 47 = 56 \), correct.

Answer:

1. \( y = 14 \)
2. \( x = 22 \)
3. \( z = 3 \)
4. \( n = 14 \)
5. \( a = 10 \)
6. \( m = -5 \)
7. \( b = 26 \)
8. \( c = 15 \)
9. \( x = 80 \)
10. \( g = 20 \)
11. \( x = -5 \)
12. \( w = -4 \)
13. \( r = 45 \)
14. \( k = 12 \)
15. \( f = 50 \)
16. \( j = 2 \)
17. \( r = 21 \)
18. \( t = 47 \)