1. The document is a math worksheet about solving sub equations. It contains examples of solving equations by adding or subtracting the same number to both sides. 2. There are word problems asking students to write algebraic equations and solve for unknown numbers. Examples include finding a number decreased by 8 that results in 13, and finding a number that when increased by 16 results in 28. 3. Students are asked to solve equations like 7 = m - 5 and show their work and check their answers. 4. One problem asks students to find a number that when decreased by 1/4 is 3/4, and another asks students to find a number such that 1/8 increased by that number is 5/

1. Name ______________________________ Date ____________________
Mrs. Labuski / Mrs. Portsmore Period _______ Unit 2 Lesson 2
Solving & Writing Sub Equations
Essential question: How do you determine whether a
TB Lesson 2-4
number is a solution of an equation?
OC Lesson 4-2
1. m – 9 = 90 M - 9 = 90 2. s - 8 = 12 s - 8 = 12 3. v - 11 = 7 v - 11 = 7
4. q - ⅝ = ⅜ q-⅝=⅜ 5. m - ⅛ = ⅜ m-⅛=⅜ 6. x – 3.4 =1.2 x-3.4 = 1.2
Write the algebraic equation and solve.
When a number is decreased by 8, the result is 13. Find the number.
Sixteen increased by a number and the result is twenty-eight. Find the
number.
42 less than a number less and the result is 24. Find the number.

2. Solve each equation. Show the check!
1. 7 = m - 5 2. r - 10 = 22
3. 16 = x – 4 4. 40 = p - 11
5. 28 = d - 6 6. n - 9 = 42
A number, decreased by ¼ , is ¾. Find the number.
⅛ increased by a number is ⅝. Find the number

3. Name ______________________________ Date ____________________
Mrs. Labuski / Mrs. Portsmore Period _______ Unit 2 Lesson 2
Solving & Writing Sub Equations
Essential question: How do you determine whether a
TB Lesson 2-4
number is a solution of an equation?
OC Lesson 4-2
1. m – 9 = 90 m - 9 = 90 2. s - 8 = 12 s - 8 = 12 3. v - 11 = 7 v - 11 = 7
+ 9 +9 99 - 9 = 90
+8 +8 20- 8 =12 +11 +11 18-11 = 7
m =99 s = 20 v=18
90 = 90 12=12 7=7
4. q - ⅝ = ⅜ q-⅝=⅜ 5. m - ⅛ = ⅜ m-⅛=⅜ 6. x – 3.4 =1.2 x-3.4 = 1.2
4- ⅛ = ⅜
+ ⅝ +⅝ 8- ⅝ = ⅜
+ ⅛ +⅛ 8
+ 3.4 +3.4 4.6–3.4=1.2
8
q=8 ⅜= ⅜ m =4 ⅜= ⅜ x =4.6 1.2=1.2
8 8
Write the algebraic equation and solve.
When a number is decreased by 8, the result is 13. Find the number.
n-8=13 n-8=13 n-8=13
+8 +8 21-8=13
n = 21 13=13
Sixteen increased by a number and the result is eight. Find the
number.
16+n=28 16+n=28 16+n=28
-16 =16 16+12=28
n = 12 28=28
42 less than a number less and the result is 24. Find the number.
n-42=24 n-42=24 n-42=24
+42 +42 66-42=24
n =66 24=24

4. Solve each equation. Show the check!
1. 7 = m - 5 7=m-5 2. r - 10 = 22 r - 10 = 22
+5 +5 7 = 12 – 5 +10 +10 32 – 10 = 22
12 = m 7=7 r = 32 22 = 22
3. 16 = x – 4 16 = x – 4 4. 40 = p - 11 40 = p - 11
+4 +4 16 = 20 – 4 +11 +11 40 = 51-11
20 = x 4 = 4 51 = p 40 = 40 
5. 28 = d - 6 28 = d - 6 6. n - 9 = 42 n - 9 = 42
+6 +6 28 = 34 – 6 +9 +9 51 – 9 = 42
34 =d 28 = 28 n = 51 42 = 42 
A number, decreased by ¼, is ¾. Find the number.
n-¼=¾ n-¼=¾ n-¼=¾
+¼ +¼ 4-¼=¾
n=4 4
4 ¾=¾
⅛ increased by a number is ⅝. Find the number
⅛+n=⅝ ⅛+n=⅝ ⅛+n=⅝
-⅛ -⅛ ⅛+n=⅝
n =4 ⅛+4=⅝
8 8
⅝=⅝