11 + 3p = -1. 2.6 + 4r = 9.2. b – 2 = 1 4. Objective: Students will be able to write and solve two-step equations with one variable!. Lesson 5.7 Solving Two-Step Equations. In Lesson 5.3-5.6 you solved one-step equations by using a single inverse (or opposite) operation. subtraction.
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In Lesson 5.3-5.6 you solved one-step equations by using a single inverse (or opposite) operation.
The inverse operation of addition is _________.
The inverse operation of subtraction is _______.
The inverse operation of multiplicationis_________.
The inverse operation of division is ____________.
d + 4 = -9
r - 18 = -26
a = -3
- 4 -4
r = -8
a = -21
d = -13
y = 8
Solving Two-step Equations
2x + 5 = -3
What is on the same side of the equal sign as the variable x ? And what mathematical operations are being done to the variable?
- 5 -5
2x = -8
X = -4
Now you have created a one-step equation which you already know how to solve!
Check your answer!
2(-4) + 5 = -3
Rule #1: ALWAYS UNDO ADDITION OR SUBTRACTION FIRST
(This turns your equation into a one-step equation.)
-8 + 5 = -3
-3 = -3
Rule #2: Undo Multiplication or division after addition or subtraction!!!!
-5x + 7= -3
Hey! Now it is a one-step equation
Which you know how to solve!
What is on the same side of the equal sign as the variable x ?
- 7 -7
-5x = -10
And what mathematical operations are being done to the variable x ?
Check: -5 (2) + 7 = -3
What mathematical operation do you do the inverse of first?
-10 + 7 = -3
Do: Practice 5.7