Excel in your academics by accessing **McGraw Hill Math Grade 7 Answer Key PDF Lesson 17.3 Solving Equations and Inequalities by Addition and Subtraction **existing for free of cost.

## McGraw-Hill Math Grade 7 Answer Key Lesson 17.3 Solving Equations and Inequalities by Addition and Subtraction

**Exercises**

**SOLVE**

**Solve for the variable shown in the expression.**

Question 1.

x + 6 = 17

Answer:

Given equation is x + 6 = 17

Subtract 6 from both sides of the equation to find x.

x + 6 – 6 = 17 – 6

**x = 11**

Question 2.

17 = s + 9

Answer:

Given equation is 17 = s + 9

Subtract 9 from both sides of the equation to find s.

17 – 9 = s + 9 – 9

**8 = s**

Question 3.

14 + z = 49

Answer:

Given equation is 14 + z = 49

Subtract 14 from both sides of the equation to find z.

14 + z – 14 = 49 – 14

**z = 35**

Question 4.

17 – f < 14

Answer:

Given inequality is 17 – f < 14

Subtract 14 from 17 to find f.

17 – 14 < f

**3 < f**

Question 5.

c – 11 > 11

Answer:

Given inequality is c – 11 > 11

Add 11 to both sides of the inequality to find c.

c – 11 + 11 > 11 + 11

**c > 22**

Question 6.

y + 23 = 25

Answer:

Given equation is y + 23 = 25

Subtract 23 from both sides of the equation to find y.

y + 23 – 23 = 25 – 23

**y = 2**

Question 7.

107 = 5 + l

Answer:

Given equation is 107 = 5 + I

Subtract 5 from both sides of the equation to find I.

107 – 5 = 5 + I – 5

**102 = I**

Question 8.

k + 36 = 64

Answer:

Given equation is k + 36 = 64

Subtract 36 from both sides of the equation to find k.

k + 36 – 36 = 64 – 36

**k = 28**

Question 9.

15 + u ≤ 43

Answer:

Given inequality is 15 + u ≤ 43

Subtract 15 from both sides of the inequality to find u.

15 + u – 15 ≤ 43 – 15

**u ≤ 28**

Question 10.

59 – t = 22

Answer:

Given equation is 59 – t = 22

Subtract 59 from both sides of the equation to find the value of t.

59 – t – 59 = 22 – 59

– t = – 37

**t = 37**

Question 11.

9 – a = 3

Answer:

Given equation is 9 – a = 3

Subtract 9 from both sides of the equation to find the value of a.

9 – a – 9 = 3 – 9

– a = -6

**a = 6**

Question 12.

75 + b > 101

Answer:

Given inequality is 75 + b > 101

Subtract 75 from both sides of the inequality to find b.

75 + b – 75 > 101 – 75

**b > 26**

Question 13.

49 – e = 24

Answer:

Given equation is 49 – e = 24

Subtract 49 from both sides of the equation to find the value e.

49 – e – 49 = 24 – 49

– e = – 25

**e = 25**

Question 14.

16 + d ≥ 39

Answer:

Given inequality is 16 + d ≥ 39

Subtract 16 from both sides of the inequality to find d.

16 + d – 16 ≥ 39 – 16

**d ≥ 23**

Question 15.

w + 15 ≤ 81

Answer:

Given inequality is w + 15 ≤ 81

Subtract 15 from both sides of the inequality to find w.

w + 15 – 15 ≤ 81 – 15

**w ≤ 66**

Question 16.

q – 23 = 35

Answer:

Given equation is q – 23 = 35

Add 23 to both sides of the equation to find q.

q – 23 + 23 = 35 + 23

**q = 58**