1. Negative Coefficient
Variable Equations

2. Negative Coefficient Equations
Is this a “positive 5” or “plus 5”?
5 – 2x = 14 +
BOTH

3. Negative Coefficient Equations
HINT: If you don’t see a negative or positive sign in front of a number it is always positive. 5 +

4. Negative Coefficient Equations
Is this a “negative 7x” or “minus 7x”?
2 – 7x = 10
BOTH

5. Negative Coefficient Equations
HINT: The sign in front of the number BELONGS TO THE NUMBER! –7

6. Negative Coefficient Equations
What’s the coefficient?
The coefficient is the number before the variable.

7. Negative Coefficient Equations
Name the Coefficient 3
3x + 4 = 3
5 – 7x = 2
– 7
8 – x = 10 – 1
What does – represent?
It represents -1.

8. Negative Coefficient Equations
Name the Coefficient
- x + 8 = 5 -1
8 – 6x = 4
– 6
4 – x = 10
– 1

9. Negative Coefficient Equations
1) GOAL:
Get the variable on one side
of the equation.
2) You always perform the same operation to
both sides of an equation.
3) To undo an operation you perform its opposite operation to both sides of the equation.
4) It is easier if you undo addition or subtraction before you undo multiplication or division.

10. I will show you how to solve this problem 2 different ways.
Negative Coefficient Equations
I will show you how to solve this problem 2 different ways.

11. Solve each equation. WATCH THE SIGNS!
Negative Coefficient Equations
Solve each equation. WATCH THE SIGNS!

12. Solve each equation. WATCH THE SIGNS!
Negative Coefficient Equations
Solve each equation. WATCH THE SIGNS!

13. Solve each equation. WATCH THE SIGNS!
Negative Coefficient Equations
Solve each equation. WATCH THE SIGNS!

14. Negative Coefficient Equations
The End!
Take out your study guide!

15. Negative Coefficient Equations
#17
Negative Coefficient Equations
3 - 2x = 11
1)Get the variable alone, even if the coefficient is negative.
- 2x = 8
__ __
2)Subtract 3 from both sides.
3) +3 and -3 cancel out
x = -4
4) Divide both sides by - 2
3 - 2(-4) = 11
5) -2 divided by –2 cancel out
= 11
6) Show your check.
11 = 11
7) Finish your check.

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