BELL WORKUsing the equation below, identify the

following vocabulary terms.

4x + 3 = 15

1.) Coefficient2.) Variable3.) Constant4.) Like Terms5.) Is this a one or two step equation?

4x3 and 15

3 and 15Two step

HANDS ON EQUATIONSLESSON 6

DISTRIBUTIVE PROPERTY

REMEMBER… Your scale/equation must stay balanced.

Whatever you do on one side, you must do the same thing on the other.

Start by combining like terms on each side of the equal sign.

Make sure to get all of the variables on one side and all of the constants on the other.

Remember to check your work.

DISTRIBUTIVE PROPERTYLet’s review the distributive property.

The addition of two or more numbers in which each term inside a set of

parentheses can be multiplied by a factor outside the parentheses, such as

a(b + c) = ab + ac.

So what does this mean?

DISTRIBUTIVE PROPERTYThis means, that if you have

3(4 + 2)You can do either of the following.

3(4 + 2) = 3(6) = 18

OR

3(4) + 3(2) = 12 + 6 = 18

So, let’s try the distributive property with a variable…

PRACTICE SHEET #62 (x + 3) = 10

What’s our first step?Let’s use the distributive property. What will

the new equation look like when we distribute the 2?

2x + 6 = 10 - This we can solve.- 6 = - 6

2x = 4 Divide both sides by 2x = 2

2 (2 + 3) = 102 (5) = 1010 = 10

PRACTICE SHEET #62 (x + 3) = 9 + x

2x + 6 = 9 + xNow get everything with a variable to one side of the

equal sign and everything without a variable to the other side. 2x + 6 = 9 + x

- 6 = - 6 2x = 3 + x - x - x

2 (3 + 3) = 9 + 32 (6) = 1212 = 12

x = 3

PRACTICE SHEET #62(2x + 1) = 3x + 8 4x + 2 = 3x + 8 -3x = -3x x + 2 = 8

-2 = -2 x = 6

And of course, don’t forget to check your work!

PRACTICE SHEET #6

2(2x + 3) = x +9

4x + 6 = x +9

x = 1

BRAIN BREAK – NAME 5The first two teams to name 5 items in

the following category will win their choice of a Spartan Buck or Tootsie Rolls.Name 5 animals that start with

the letter P.

EXTRA PRACTICE2(2x + 2) = 20

4x + 4 = 20

x = 4

EXTRA PRACTICEx + 6 = 2x + 1

5 = x 5 + 6 = 2(5) +1

11 = 10 +1 11 = 11

EXTRA PRACTICE

x + 2x + x + x + 3 = 8Start by combining like terms.

5x + 3 = 8

x = 1

EXTRA PRACTICE3(x + 1) + 2 = 2(x + 5)

3x + 3 + 2= 2x + 10Can you combine any like terms?

x = 5

Let’s check the work.3(5+1) + 2 = 2(5+5)

3(6) + 2 = 2(10)18 + 2 = 20

20 = 20

EXTRA PRACTICE

3x + 3 = x + 21Subtract x from each side.

2x + 3 = 21Subtract 3 from each side.

2x = 18Divide each side by 2

x = 9

CHECK YOUR WORK!

EXTRA PRACTICE

2x + 2 + 2x = x + 8

4x + 2 = x + 8

x = 2

TRACKING YOUR PROGRESS

Let’s look at the scale for the current learning goal in your folder.

We’re approximately halfway through this goal, so it’s time to track your progress again.

Mark your current level in the middle section at the bottom and put today’s date.

EXIT SLIPThe following problem has an incorrect step.

Using complete thought sentences, tell which step is incorrect and what should have been done.

4x + 2x + 3 = x + 18 6x + 3 = x + 18

- 3 - 3 3x + 3 = x + 15 - x -x 2x + 3 = 15

- 3 - 3 2x = 12

÷ 2 ÷ 2 x = 6