IC: Ch. 3.4HW: pg 112 (#32-34 , 6, 7, 9, 12)

**Show all algebra steps!!!**

Materials

Write the IC and HW in your planner.

Thursday, 10/24/19

• Pencil & grading pen• Slate, Marker and eraser• As Easy As Pie graphing paper• Ch. 3 folder

Math 7

Math/Science Night tonight! (5-6:30)

)5h6(2)4h(3)2 +−−−−

Find the difference.

12h

)5h6(2)4n1(3 +−−+−+−

+ -10

9h + 2

-3h + 12 +

1

1) Simplify

• Add in a 1 in front of ( ) or variables if needed

• Rewrite in terms of addition

• Use distributive property to remove parentheses

• Combine like terms

2) Isolate the variable

• Move all the terms with a variable to one side of

the equation and all the constants to the other

side

3) Simplify all Fractions

Objective: TSWBAT solve multistep EQs involving the dist. prop. by using algebra steps correctly. Date __10/24/19_____

Ex. 1: 2(3x – 4) = 10

6x +8

6x =

6 61x = 3

2(3x + -4) = 10

+ -8 = 10 +8

18

x = 3

Ex. 2: 20 = 4(2n + 7)

8n -28 -28

+ 28 20 =

= 8n 8 8

-1 = 1x

-8

-1 = x

Ex. 3: -3y – 8 + (-2y) = -28

-3y + (-8) + (-2y) = -28

-5y + (-8) = -28+8 +8

-5y = -20-5 -5

1y

y = 4

= 4

p.112 problems: Solve the equation.

32) 6(x – 2) = -18

33) -4(m + 3) = 24

34) -8(y + 9) = -40

6) 2v + 7 = 3

7) 4b + 3 = -9

9) -6t – 7 = 17

12) 2t – 5 = -10

-8y -72 -72

-8( y + 9) = -40

+ -72 = -40

-8y =

-8 -8

1y = 14

On your slate, please

write the mistake that

Mrs. Thompson made

and explain what she

should do instead to

get the right answer.

Then, find the right

answer!

-112

y = 14

1

Objective: TSWBAT solve multistep EQs involving the dist. prop. by using algebra steps correctly. Date __10/24/19_____

Ex. 1: 2(3x – 4) = 10

6x +8

6x =

6 61x = 3

2(3x + -4) = 10

+ -8 = 10

Draw a line at the equal sign

to show the two sides of the

equation.

+8 We want the -8 to go

away, so we combine it

with a positive 8 so

they cancel out and

make zero!

Now we have a 6x

leftover on one side

and an 18 leftover on

the other side.

Solve it for 1x!

Whatever you do to one

side, do to the other!

18

x = 3

Ex. 2: 20 = 4(2n + 7)

8n -28 -28

+ 28 20 =

= 8n 8 8

-1 = 1x

Now we have a 8n

leftover on one side

and a -8 leftover on the

other side.

Remember…division

will help you figure out

what times 8 makes

-8!

We have a 20

and a -28, so

diff. signs =

subtract!

-8

-1 = x

Ex. 3: -3y – 8 + (-2y) = -28

-3y + (-8) + (-2y) = -28

-5y + (-8) = -28We want the negative 8

to go away, so we

combine it with a

positive 8 so they

cancel out and make

zero!

+8 +8

-5y = -20

Now we have a

-5y leftover on

one side and a

-20 leftover on

the other side.

Remember…

division will

help you figure

out what times

-5 makes -20!

-5 -5

1y

y = 4

= 4

Slates 1: -3(2r – 6) = 6

-6r -18 -18

-3(2r + -6) = 6

+ 18 = 6

-6r =

-6 -6

1r = 2

Now we have a -6r

leftover on one side

and a -12 leftover on

the other side.

Remember…division

will help you figure out

what times -6 makes

-12!

We have a 6 and a -18, so

diff. signs = subtract!

-12

r = 2

-2( x – 3) = -30

-2x

-2(1x + -3) = -30

+ 6 = -30

1

-6

-2x =-2 -2

1x

-6 We want the positive 6

to go away, so we

combine it with a

negative 6 so they

cancel out and make

zero!

Now we have a -2x

leftover on one side and

an -36 leftover on the

other side.

Remember…division will

help you figure out what

times -2 makes -36!

We have a -30 and a -6, so

same signs = add!

-36

x = 18

= 18

1) Suzanne thinks the two expressions 2(3a – 2) + 4a and

10a – 2 are equivalent. Is she correct? Explain why or

why not using words and math.

2(3a – 2) + 4a

2(3a + -2) + 4a

6a + -4 + 4a

10a + -4

10a – 2

10a + -2

NOT the same!

No, the two expressions are not equivalent because after we

use the distributive property and combining like terms we do

not get the same expression as 10a – 2.