Name:________________________________________________________________________________Date:_____/_____/__________
Spiral Back:
1. Evaluate the following when x = 4 and y = -2 :
2.
3.
Crush is 150 years old. Which of the choices
correctly expresses Crush’s age?
What is the value of . . .
(show work)
(-15) – (-18) ÷ 3
3𝑥
𝑦
- (y)3
A.
140 + x, where x = -10
B.
140 – x, where x = 10
C.
140 – x, where x = -10
A.
-21
B.
-9
C.
-1
D.
1
4. Name the property:
9 ∙ (xy) = (9x) ∙ y
-2(x + 4) = -2(x) + -2(4)
________________________________________________
________________________________________________
8 ∙ (a + b) = 8 ∙ ( b + a)
5xy( -6 + 6) = 5xy( 0 )
________________________________________________
________________________________________________
5. Model the following equations:
x + (-3) = -2
x = ___
x – 2 = -6
x = ___
Today’s Lesson:
What:
One-step equations (Addition &
Subtraction)
Why:
To solve addition and subtraction onestep equations using both algebra tiles
and the traditional paper/ pencil method.
Solving Equations:
GOAL:
itself
To get the variable by _________________________
(“isolating” the variable)!!
RULE:
What you do to one side of the equals (=)
the other side
sign, you MUST do to _________________________
(Golden Rule of Algebra”)!
Addition Equations:
1)
x + 2 = -2
What number is
with “x”? We
have to get “x” by
itself!
Paper/Pencil Method:
x + 2 = -2
+(-2)
+(-2)
x = -4
2)
x + (-3) = 7
Paper/Pencil Method:
x + (-3) = 7
+3
+3
x = 10
Guided Examples (paper/ pencil method only):
3)
x + 40 = -11
x = -51
4)
-25 = x + (-75)
x = 50
Your turn:
5)
-28 + x = -3
x = 25
Subtraction Equations:
1)
Do KCC first!
Paper/Pencil Method:
x - 4= 7
x-4 = 7
+4
+4
x = 11
2)
Paper/Pencil Method:
x - 3 = -2
x - 3 = -2
+3
+3
x=1
Guided Examples (paper/ pencil method only):
3)
x - 22 = -2
x = 20
4)
-3 = x - 34
x = 31
Your turn:
5)
x - 64 = 30
x = 94
What about the “double negative”
equations?
6)
x – ( -2) = 5
x =3
Your turn:
7)
x – ( -9 ) = -11
x = -20
END OF LESSON
The next slides are student copies of the handouts
and/or supporting materials for this lesson. These
were handed out in class and filled-in as the lesson
progressed.
Math-7 NOTES
NAME:
DATE: ______/_______/_______
One-step equations (Addition & Subtraction)
To solve addition and subtraction one-step equations using both algebra tiles
and the traditional paper/ pencil method.
What:
Why:
Solving Equations:
GOAL:
To get the variable __________________ (“isolating” the variable)!!
RULE:
What you do to one side of the equals (=) sign, you MUST do to
_________________________________ (“Golden Rule of Algebra”)!
Addition Equations:
1)
x + 2 = -2
2)
x + (-3) = 7
Paper/Pencil Method:
Paper/Pencil Method:
Guided Examples (paper/ pencil method only):
3)
4)
x + 40 = -11
Your turn:
-25 = x + (-75)
5) -28 + x = -3
Subtraction Equations:
1)
2)
x – 4=7
Paper/Pencil Method:
x – 3 = -2
Paper/Pencil Method:
Guided Examples (paper/ pencil method only):
3)
4)
x – 22 = -2
Your turn:
-3 = x - 34
5) x – 64 = 30
What about the “double negative” equations?
6)
Remember– “minus a
negative” equals a POSITIVE!!
Your turn:
x – ( -2) = 5
7)
x – ( -9 ) = -11
NAME:____________________________________________________________________________ DATE: _____/_____/______________
Math-7 homework
“ Addition/ Subtraction one-step equations ”