1. Name ____________________________ Date ____________________
Mrs. Labuski / Mrs. Portsmore Per ______ TB Lesson 2-3 Equations & Solutions
OC Lesson 4-1
Essential Question: How do you determine whether a number is a solution of an equation?
When you have an equation, the solution should make the expression true.
4 • 2 ≠6 3+2=5 
VOCABULARY DEFINITION EXAMPLE
EQUATION
SOLUTION
1 – plug it in
2 – solve
3 – are both
sides of the
equation
equal?
1. 9 + x = 21 for x = 11 ___________________ 2. n -12 = 5 for n = 17

2. ___________________ 6. u ÷11 = 10 for u = 111 ___________________
3. 25 • r = 75 for r = 3 ___________________ 10. 67 -j = 25 for j = 42
___________________ 7. k/8 =4 for k = 24 ___________________
4. 72 ÷q = 8 for q = 9 ___________________ 11. 39 ÷v = 13 for v = 3
___________________ 8. 16x = 48 for x = 3 ___________________
5. 28 +c = 43 for c = 15 ___________________ 12. 88 +d = 100 for d = 2
___________________ 9. 73 -f = 29 for f = 54 ___________________
Name ____________________________ Date ____________________
Mrs. Labuski / Mrs. Portsmore Per ______ TB Lesson 2-3 Equations & Solutions
OC Lesson 4-1

3. Essential Question: How do you determine whether a number is a solution of an equation?
When you have an equation, the solution should make the expression true.
4 • 2 ≠6 3+2=5 
DEFINITION EXAMPLE
VOCABULARY
A mathematical
4 2=8
EQUATION statement that two
3+2=5
quantities are equal.
4x=8
The value of the x=2
SOLUTION variable that makes
the equation true. s+2=5
s=3
1 – plug it in
2 – solve
3 – are both
sides of the
equation
equal?
2. n -12 = 5 for n = 17 it is a solution
17-12 = 5
5=5 4. 72 ÷q = 8 for q = 9
1. 9 + x = 21 for x = 11 it is a solution 72 ÷ 9= 8
9 + 11 = 21 8=8
20 ≠ 21 3. 25 • r = 75 for r = 3 it is a solution
No; it is not a solution 25 • 3 = 75 5. 28 +c = 43 for c = 15
75=75 28 +15= 43

4. 43=43  25=25
it is a solution 8. 16x = 48 for x = 3 it is a solution
16 • 3= 48
6. u ÷11 = 10 for u = 111 48=48 11. 39 ÷v = 13 for v = 3
111÷11 = 10 it is a solution 39 ÷ 3= 13
10.09 ≠ 10 9. 73 -f = 29 for f = 54 13=13
No; it is not a solution 73 - 54= 29 it is a solution
29 = 29 12. 88 +d = 100 for d = 2
7. k/8 =4 for k = 24 it is a solution 88 +2= 100
24 ÷8= 4 90 ≠ 100
3≠4 10. 67 -j = 25 for j = 42 No; it is not a solution
No; it is not a solution 67 -42= 25