Review Days/Unit 1 Notes- Solving Equations Name Period

(1)

I CAN ADD, SUBTRACT, MULITPLY, AND DIVIDE USING INTEGERS

I CAN USE THE ORDER OF OPERATIONS TO SIMPLIFY EXPRESSIONS

Review Day 2

I CAN COMBINE LIKE TERMS TO SIMPLIFY AN EXPRESSION

I CAN SOLVE ONE-STEP AND TWO-STEP EQUATIONS

1A

I CAN WRITE A VERBAL EXPRESSION OF A MATHEMATICAL EQUATION I CAN WRITE A MATHEMATICAL EQUATION FROM A VERBAL EXPRESSION

1B

I CAN USE THE DISTRIBUTIVE PROPERTY TO SIMPLIFY AN EXPRESSION OR SOLVE AN EQUATION

lC

I CAN ELIMINATE FRACTIONS TO SIMPLIFY AND SOLVE EQUATIONS

1D

I CAN SOLVE MULTI-STEP EQUATIONS {EQUATIONS THAT HAVE VARIABLES ON BOTH SIDES)

lE

I CAN USE THE DISTRIBUTIVE PROPERTY TO SIMPLIFY AND SOLVE MULTI-STEP EQUATIONS

(2)

WORDS I NEED TO KNOW: Integer:

Review

Day 1

Combine:

I can combine

integers

Negative: Positive: A..I.J . -· Dnc:itivo party or

(3)

party or battle?

vvuv

+

VV

Tricky Parts

-4

+

5 - 2

+

1 -7-(-3)

_{5 +(-3)}

- 24 +(-12) -(-17)

-6 + 7 -13 - 8 14- 11 +3 -25 + 25

I

can solve • and

+

problems with

integers

(4)

[JJJ

-20 (-4)

Rules

.

-

.

36 + -6 Steps: 1) find the sign 2) • or .;. given numbers

Questions

&

Clarifications

7 - ( +5) -3 -(-9)

~

Tri ky P rt II -3(2)(-2)(-1) ( 4 )(-2)(-1)(-2)(-1) ways o work t is: hawaii: opposite of: even/odd:

Tricky Parts

rn

-7-(-3)

5 +(-3)

- 24 +(-12) -(-17)

(5)

I

can simplify equations

using

ORDER OF

OPERATIONS

Order of Operations

3 Vocabulary:

Operation: Order of Operations: Integers: Exponent:

10- 5(2

27

2)

+

13

23

(6)

WHAT COUNTS AS WORK??? -4 -(-3) -4 + (-3) -4(-3) -4 - 3 -4 • -3 (-4) (-3)

G

+or• use Parni/battle • or + use doting man

5 •

2 -t \

3 Review

Day

2 I can

combine like terms use distributive prop use both to solve 2 ste equations

(7)

VOCABULARY

SIMPLIFY

Evaluate

SOLVE

Coefficient

Term

(£JMB/,J{NQ ~lrelE~f\S

~~

4x

-t-3)

-

2 -t7y

-7x

-11~

EQUATIONS ... WHAT TO DO??? has an = and variable???

' - . ct the variable b

r

itself

SIMPLIFY: put matches together

X -

5 +

4x

6y

+

6 =

-36

(8)

Distribute and Combine

Share the love' / Family Reunion

3(y - 4)

4(x - 2) - 10

DO NOT USE "RAINBOW" or "SANTA HAT''!!!

Both of these are "tricky parts"

7 - 8(-2 - 5x)

-(4

+

6x) - 3

REVIEW OF

EQUATIONS

x-(-3)=-13

• -2 + 3x

=

-11

-

7

+

..x.

=

-3

5

Distributive PropertY.

use to PASS out 2(x - 7)

use to GATHER (factor) 2x

+

5x

use to solve mentally 13(99)

TRICKY PARTS:

23 = 13 -y

I. draw divider line down the : sign 2. implify. if nece sary

3. move the number away from the variable (whatever needs to

•eecape" ia going to have to do the inverse to get away)

(9)

TRICKY PARTS:

_

14 =

s+l2

-6

-

y+l4=-17

expression & equation RULES:

-¥

!

Family reunion (move any x's) REWRITE

Inverse PEMDAB when

Move # not connected solving a -problem REWRITE

Move# connected REWRITE

Let's try a few

k

-2

=

3 +

-3

1=1-3k-7k

I can

write a math expression and equation using symbols and words

(10)

•

1063106

multiply

Verbal and Mathematical expressions

_.

1063107 -1063105 divide subtract

+

+ ₁₀₆₃₀₉₄ add

https://answergarden.ch/_

Tricky Parts

(

when to use parenthesis

)

3 times the _ _ of a number and _ _ plus/is _ _

<

>

+

is greater than less than greater than is less than mg ..!, d 0

Verbal and Mathematical expressions

<

>

i

►·-·-·-·-·-·-·-·-·-·-·-·-·-·-·-·-·-·-·-·-·-~

Write as verbal expression

3x + 4

=

10

Write as mathematical expression

(11)

I

can

solve equations

using

distributing and

combining like

terms

1B

Let's put them together ...

combining

and

~

istributing

-std -4) = 66

expression

&

equation RULES:

-. / Family reunion (move any x's)

REWRITE

Inverse PEMDAS when

Move # not connected solving a -problem REWRITE

Move # connected

REWRITE

st½+

y) = 38

(12)

13=-3(x-4)-8

13 =

-3(x - 4) - 8

d = rt where d IS lhe dlslance traveled by an obJCCt mov,ng <II speed r m

time I Find d II r = 52 mlsec. I = 8 sec. m

I can

solve equations

with fractions

(clearing

fractions)

2

X

=

20 T

1C

10 =

~

y

10

(13)

• ---•17

11 10 2 = a + -3 3 3 - _3_

m+3=8

4

I can

solve equations

with variables o

both sides of

the equal sign

-18

=

~ r + 12

2

(14)

expression & equation RULES:

--¥

1

Family reunion

(move any x's) REWRITE

Move# not connected

REWRITE

Move# connected

REWRITE

-2a

-

9 =

6a

+

15

Inverse PEMDAB when solving a= problem

expression & equation RULES:

=

. / Farnity re\nOn

(mow,anyJC's)

RE\NRITt

Mow • not connectrd

REWRITE Mow• connected

REWRITE

Inverse PEMDAB when solving e. -problem

Now

What??

6X - 4

=

4X -8 expression & equation RULES:

-. ,, f•mity reunion

(fflO'<lleMTy"Jt"S)

k£WRITE

Move • not connected

R£WIUTE

Mow I connected

R£WIUTE

Inveme PEMDAB when solving a -problem

shapes have same perimeter ... find length

of

11

y11

~

y y+6

(15)

I

can

solve complex

equations using

simplifying and

distributing

a

-8_2a +5

12 -

3 1E

expression & equotion RULES:

-

·

-""""'

Inverse PEMD.AB when

solving a• ~ e m

9(n

+

3)

=

7n-3

expression & equotion RULES:

-

· -...

,

Inverse PEMDAS when

(16)

1. Circle the questions you got CORRECT.

2. Put an X in the box that shows how many problems you got correct.

Objective Question numbers Emerging Developing Mastery

(1) (2) (3)

Simplifying Expressions 0-1 2 3-4 Multiple choice: 1 2 3 4

Solving two step 0 1 2

equations Short Answer: 1 2

Solving Multi-Step 0 - 1 2 3-4 Equations Short Answer: 3 4

Multiple Choice: 5 6

Solving Multi-Step Short Answer: 7 8 0-2 3-4 5-6 Equations with Multiple Choice: 7 8 9 10

Distribution

Solving Verbal 0 1 2

Expressions 9 10

3. Look over your data. What area was your highest scoring section?

What area was your lowest scoring section?

4. What struggles or behaviors did you have during this Unit that contributed to your highest and lowest scoring sections? Did you do as well as you thought you would on this test? Explain your answer in at least 2-3 sentences.

5. What will do you during Unit 2 to assure that you improve (or continue to do well)?