1. Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes

2. Warm Up 1. 86 + x = 102 for x = 16 2. 18 + x = 26 for x = 4 yes
Determine whether each value is a solution.
x = 102 for x = 16
x = 26 for x = 4
3. x + 46 = 214 for x = 168
x = 35 for x = 26
yes no
yes
yes

3. 42=____
23=____

4. Problem of the Day
Renee went to the closet to get her kite string. After Renee used 40 m of string for her kite and gave 5 m to her sister for her wagon, she had 8 m of string left. How much string did she have to start with?
53 m

5. Learn to solve whole-number addition equations.

6. Vocabulary
inverse operations

7. h + 14 82
The equation h + 14 = 82 can be represented as a balanced scale. h ?
To find the value of h, you need h by itself on one side of the scale.
h + 14 82
To get h by itself, first take away 14 from the left side of the scale. Now the scale is unbalanced. h 68
To rebalance the scale, take away 14 from the other side.

8. Taking away 14 from both sides of the scale is the same as subtracting 14 from both sides of the equation.
h + 14 = 82
–14
–14
h = 68
Inverse operations undo each other. Addition and subtraction are inverse operations. If an equation contains addition, solve it by subtracting from both sides to “undo” the addition.

9. Additional Example 1A: Solving Addition Equations
Solve the equation. Check your answer.
x + 87 = 152
x + 87 = 152
87 is added to x.
– 87
– 87
Subtract 87 from both sides to undo the addition.
x = 65
Check x + 87 = 152
Substitute 65 for x in the equation.
= 152 ?
152 = 152 ? 
65 is the solution.

10. Additional Example 1B: Solving Addition Equations
Solve the equation. Check your answer.
72 = 18 + y
72 = 18 + y
18 is added to y.
–18
–18___
Subtract 18 from both sides to undo the addition.
54 = y
Check 72 = 18 + y
Substitute 54 for y in the equation.
72 = ?
72 = 72 ? 
54 is the solution.

11. Solve the equation. Check your answer.
Check It Out: Example 1A
Solve the equation. Check your answer.
u + 43 = 78
u + 43 = 78
43 is added to u.
___– 43
– 43
Subtract 43 from both sides to undo the addition.
u = 35
Check u + 43 = 78
Substitute 35 for u in the equation.
= 78 ?
78 = 78 ? 
35 is the solution.

12. Solve the equation. Check your answer.
Check It Out: Example 1B
Solve the equation. Check your answer.
68 = 24 + g
68 = 24 + g
24 is added to g.
–24
–24___
Subtract 24 from both sides to undo the addition.
44 = g
Check 68 = 24 + g
Substitute 44 for g in the equation.
68 = ?
68 = 68 ? 
44 is the solution.

13. Additional Example 2: Social Studies Application
Johnstown, Cooperstown, and Springfield are located in that order in a straight line along a highway. It is 12 miles from Johnstown to Cooperstown and 95 miles from Johnstown to Springfield. Find the distance d between Cooperstown and Springfield.
distance between Johnstown and Springfield
distance between Johnstown and Cooperstown
distance between Cooperstown and Springfield = +
= d
95 = 12 + d
12 is added to d.
–12
–12___
Subtract 12 from both sides to undo the addition.
83 = d
It is 83 miles from Cooperstown to Springfield.

14. Check It Out: Example 2 = + 35 = 17 + d 35 = 17 + d 17 is added to d.
Patterson, Jacobsville, and East Valley are located in that order in a straight line along a highway. It is 17 miles from Patterson to Jacobsville and 35 miles from Patterson to East Valley. Find the distance d between Jacobsville and East Valley.
distance between Patterson and East Valley
distance between Patterson and Jacobsville
distance between Jacobsville and East Valley = +
= d
35 = 17 + d
17 is added to d.
–17
–17___
Subtract 17 from both sides to undo the addition.
18 = d
It is 18 miles from Jacobsville to East Valley.

15. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems

16. Lesson Quiz
Solve each equation.
1. x + 15 = 72
2. 81 = x + 24
3. x + 22 = 67
4. 93 = x + 14
x = 57
x = 57
x = 45
x = 79
5. Kaitlin is 2 inches taller than Reba. Reba is 54 inches tall. How tall is Kaitlin?
56 inches

17. Lesson Quiz for Student Response Systems
1. Solve the solution of the x + 26 = 75.
A. x = 39
B. x = 49
C. x = 59
D. x = 101

18. Lesson Quiz for Student Response Systems
2. Solve the solution of the 71 = y + 47.
A. y = 24
B. y = 28
C. y = 108
D. y = 118

19. Lesson Quiz for Student Response Systems
3. Solve the solution of the z + 37 = 65.
A. z = 102
B. z = 92
C. z = 38
D. z = 28

20. Lesson Quiz for Student Response Systems
4. Solve the solution of the 76 = x + 39.
A. x = 27
B. x = 37
C. x = 95
D. x = 115

21. Lesson Quiz for Student Response Systems
5. Steven has 9 more music CDs than Carol. Steven has 25 music CDs. How many music CDs does Carol have?
A. 7 music CDs
B. 9 music CDs
C. 16 music CDs
D. 25 music CDs