negative coefficient

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Is this a “positive 5” or “plus 5”? 5 – 2x = 14

is the same a s apositive 5 plus 5

BOTH

+


HINT: If you don’t see a negative or positive sign in front of a number it is always positive.

5+


Is this a “negative 7x” or “minus 7x”?

2 – 7x = 10

BOTH

is the same as a negative 7x minus 7x


HINT: The sign in front of the number BELONGS TO THE NUMBER!

–7


What’s the coefficient?

The coefficient is the number before the variable.


Name the Coefficient

3x + 4 = 3 35 – 7x = 2 – 7

8 – x = 10 – What does – represent?

It represents -1.

1


Name the Coefficient

- x + 8 = 5 -18 – 6x = 4 – 6

4 – x = 10 – 1


1) GOAL:Get the variable on one side of the equation.

2) You always perform the same operation toboth 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.


I will show you how to solve this problem 2 different ways.

7 x 13

7 x 13 7 x 13 7 7 x x

7 x 13 13 13

6 x

x 6 11x 6

1

x 6

1


Solve each equation. WATCH THE SIGNS!

1) 5 3x 265 5

3x 21 3 3 x 7

2) 4y 9 39 9 9

4y 48 4 4 y 12


Solve each equation. WATCH THE SIGNS!3) 7 10 x

10 10 3 x 1 1 3 x

4) 24 n 30 24 24

n 6 11n 6

1

n 6

11


Solve each equation. WATCH THE SIGNS!5) 3y 7 5y 19

7 7 2y 12 2 2 y 6

2y 7 19

6) 8 2k 3k 13

8 8 k 5 1 1 k 5

8 k 13

1


The End!Take out your study guide!


3 - 2x = 11

-3 -3 - 2x = 8 __ __

-2 -2 x = -4

#17

1)Get the variable alone, even if the coefficient is negative.

2)Subtract 3 from both sides.

3) +3 and -3 cancel out

4) Divide both sides by - 2

5) -2 divided by –2 cancel out

6) Show your check.

7) Finish your check.

3 - 2(-4) = 11

3 + 8 = 11

11 = 11


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negative coefficient

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