1. Draw a line 2/3 the way across DO THIS TO THE BACK ALSO
First & Last Name
hour
Date
Draw a line 2/3 the way across
DO THIS TO THE BACK ALSO
1.3 pg23 #1, 7, 8, 17, 18, 19, 20, 24 ,26
Homework questions
& work on left side
Skip lines between
questions. Do NOT
Draw Lines Between them!
Write each equation 2x’s
4. Box answers
5. Only One Column of Q’s
Corrections on right side

2. How can you recognize what type of solution an equation has?
1.3 No solution, One Solution, Infinite Solution Equations
Essential Question:
How can you recognize what type of solution an equation has?

3. Sentence: Important Info: Equation:
Jon and Sara are planting tulip bulbs. Jon has planted 60 bulbs and is planting at a rate of 44 bulbs per hour. Sara has planted 96 bulbs and is planting at a rate of 32 bulbs per hour.
In how many hours will Jon and Sara have planted the same number of bulbs? How many bulbs will that be?
Sentence:
Important Info:
Equation:
Person
Bulbs
Jon
60 bulbs plus 44 bulbs per hour
Sara
96 bulbs plus 32 bulbs per hour

4. When will Jon = Sara? Continued ? When is + 44b = 96 + 32b Jon = Sara
60 bulbs
plus
44 bulbs each hour
the same as
96 bulbs
32 bulbs each hour
When is ?
b = b
Jon = Sara
b = b
– 32b – 32b
To collect the variable terms on one side, subtract 32b from both sides.
b = 96
– – 60
b = 3

5. Check
After 3 hours, Jon and Sara will have planted the same number of bulbs. To find how many bulbs they will have planted in 3 hours, evaluate either expression for b = 3
b = (3) = = 192
b = (3) = = 192
After 3 hours, Jon and Sara will each have planted 192 bulbs.

6. Whiteboards: Solve & Check

7. One Solution Equations
WORDS
1st: solve for variable
Look to see if you can isolate variable
The variable has only one solution
NUMBERS
3 + 3 = 2(3)
6 = 6 
ALGEBRA
3 + x = 2x
–x –x
3 = x 

8. No Solution Equations 1 = 1 + 2 1 = 3  x = x + 3 –x –x 0 = 3 
1st : simplify both sides of the equation
Look for on Each Side:
Same coefficients on variable
AND
Different Constants
WORDS
x = x + 3
–x –x
0 = 3 
1 = 1 + 2
1 = 3 
ALGEBRA
NUMBERS
No Solution Equations

10. Infinite Solutions 2 + 1 = 2 + 1 3 = 3  2 + x = 2 + x –x –x 2 = 2 
WORDS
1st : simplify EACH side of the equation
Look for on Each Side:
Same coefficients on variable
AND
Same Constant
NUMBERS
2 + 1 = 2 + 1
3 = 3 
ALGEBRA
2 + x = 2 + x
–x –x
2 = 2 

11. -5x + 26 = 26 – 5x

12. Whiteboards: Solve & Check if Possible A. B. C.
h = h
1.8x + 9 = x

13. Solve y = 0.7y – 0.3
To collect the variable terms on one side, subtract 0.3y from both sides.
y = 0.7y – 0.3
–0.3y –0.3y
= 0.4y – 0.3
Since 0.3 is subtracted from 0.4y, add 0.3 to both sides to undo the subtraction.
= 0.4y
Since y is multiplied by 0.4, divide both sides by 0.4 to undo the multiplication.
2 = y