Semester 1 Final Exam Review

Adding and Subtracting integers

Ordering Integers

Multiplying and Dividing Integers

one step equations

6th grade math

Two-Step Equations

Learning Goal

I can add and subtract integers and list my steps in order.

Inverse Opporation

When solving equations: remember to do the opposite opporation.

Step 1:

• Addition or Subtractions

Same Sign

If the signs of the numbers are the SAME your answer is POSITIVE

Step 2:

• Multiplication or division

using inverse operations (opposite)

​

isolate the variable

Multiple Choice

y - 33 = 147

• y = 114
• y = 177
• y = 180
• Answer not Given

Multiple Choice

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

Multiple Choice

$$5\cdot4$$  

• 20

• -20

• 9

• 1

Multiple Choice

Solve  3x - 7 = 32

• 13
• -13
• 12
• -12

Multiple Choice

Solve the equation:
20.5 = x + 4

• 16.5
• 16.05
• 24.5
• 24.05

Multiple Choice

-4x+1=21

• x=120
• x=5
• x=30
• x=-5

Multiple Choice

Order from Least to Greatest: 3, -10, -5

• -10, -5, 3

• 3, -5, -10

• -10, 3, -5

Multiple Choice

4x + 7 = 23

• x = 16
• x = 4
• x = 9
• x = 12

Multiple Choice

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

• 1.6

• 176

• 27

• 5

Multiple Choice

3c + 5 = 23

• c = 3
• c = 6
• c = 7
• c = 18

Multiple Choice

$$-9\cdot-2$$  

• 4.5

• -18

• 18

• -11

Multiple Choice

Which equation has w = 8 as the solution?

• 8w= 64
• 16w = 240
• 16 - w = 9
• 4 + w = 10

Multiple Choice

What is the inverse operation of division?

• Division
• Multiplication
• Addition
• Subtraction

Different sign

If the signs of the numbers are DIFFERENT your answer is NEGATIVE

Multiple Choice

What is the inverse operation of subtraction?

• addition
• subtraction
• multiplication
• division

Let's review what we learned about Adding and Subtracting integers.

• Adding integers can be solved using tiles, a number line or the rules.

• Subtracting integers can be solved using tiles, a number line or the rules.

• To find the sum means to add.

• To find the difference means to subtract

Multiple Choice

Twice a number is 24.

• 2n = 24
• 2/n = 24
• 2 + n = 24
• 2 - n = 24

Multiple Choice

$$-20\div2$$  

• 10

• -10

• -40

• 40

Multiple Choice

Solve for x:

• x = 20
• x = 7
• x = 10
• x = 3

Multiple Choice

Solve the equation
3x = 27. 

• x = 24
• x = 81
• x = 9

Multiple Choice

$$-5\cdot2$$  

• -10

• 7

• -7

• 10

Multiple Choice

Which equation has x = 5 as the solution?

• x + 15 = 10
• 2x = 5
• 2x = 10

Multiple Choice

Order from Least to Greatest: -3, -10, -1

• -10, -3, -1

• -1, -3, -10

• -10, -1, -3

Multiple Choice

What is the solution for x + 9 = 21

• 10
• 12
• 11
• 13

Multiple Choice

$$-4\cdot-7$$  

• 28

• -28

• 3

• -11

Multiple Choice

Solve for b
2b = -16

• 8
• 4
• -8
• 3

• Which side is greater

• Whats zeros opposite

• What does the arrows mean on the sides of the number line?​

Multiple Choice

Solve for y in the following equation:

y ÷ 3 = 12

• 36

• -36

• 4

• -4

Multiple Choice

$$25\div-5$$  

• 20

• -20

• 5

• -5

Adding integers rules

• Same sign, add and keep the sign.

• Different sign? Subtract and keep the sign of the # that is larger.

REVIEW TIME!

​

​

• Temperature ABOVE ZERO: Positive

• Temperature BELOW ZERO: Negative

​Integers & Temperature

Multiple Choice

$$-3\cdot-2\cdot-1$$  

• 6

• 5

• -6

• -16

Multiple Choice

Order from Least to Greatest: -2, 5, -9

• -9, 5, -2

• -9, -2, 5

• -2, 5, -9

Multiple Choice

$$-63\div-9$$  

• 8

• -8

• 7

• -7

Multiple Choice

Monday's temperature was -3°F and Tuesday's was -5°F. Which day was colder?

• neither they were equal

• Monday

• Tuesday

• Friday

Multiple Choice

$$-4\cdot5\cdot4$$  

• 80

• 70

• -80

• 180

Subtracting integers rules

• Keep the first number.

• Change subtraction to addition.

• Change the sign of the last #

• Then follow the addition rules

• ABOVE Sea Level - Positive +

• BELOW Sea Level - Negative -

• AT Sea Level - O​

​Integer & Elevation

Multiple Choice

Order from Least to Greatest: -5, -10, 0

• 0, -5, -10

• -10, 0, -5

• -10, -5, 0

​Integer & Money

Now let's try some!

Multiple Choice

A submarine was 1800 ft below sea level.

• -1000

• -800

• -1800

• 300

Multiple Choice

Order from Least to Greatest: 6, -6, 3

• -6, 3, 6

• 3, -6, 6

• -6, 6, 3

Multiple Choice

Three degrees below zero.

• 0

• -3

• 3

• -.03

Multiple Choice

5+(-5)

• 5

• -5

• 0

• 10

Multiple Choice

Mt. Whitney in California is 14,494 above sea level.

• -14,494

• 14,494

Multiple Choice

Order from Least to Greatest: -2, 0, -7

• 0, -2, -7

• -7, 0, -2

• -7, -2, 0

Multiple Choice

I withdrew 20 dollars from my bank account.

• 20

• -20

Multiple Choice

-2 + 4 

• -2
• 2
• 0
• -4

Multiple Choice

Which integer below can represent a deposit of $220?

• -220

• 220

• -200

• 200

Multiple Choice

Order from Least to Greatest: -5, 2, -8

• 2, -5, -8

• -8, -2, 5

• 5, -2, -8

Opposite numbers are the same distance from 0 on the number line.

3 and -3 are opposites

Multiple Choice

Use the tiles to find the sum of the integers.

• -5

• -7

• 5

• 7

-5 and 5

are opposites

Multiple Choice

List the integers graphed on the number line from least to greatest.

• -4, 0, 2, 5
• -5, -4, -3, -2, -1
• -5, -3, 0, 3, 5
• 5, 2, 0, -4

The opposite of 4 can also be written:
 -(4) = -4


The opposite of -6 can also be written:
-(-6) = 6

Multiple Choice

-7 - 2

• -9
• 9
• 5
• -5

Multiple Choice

What is -(7)?

• 7

• -7

Multiple Choice

Order from least to greatest: -12, 15, -1, 3, 

• 15, 3, -1, -12
• 15, 3, -12, -1
• -1, -12, 3, 15
• -12, -1, 3, 15

Multiple Choice

What is -(-4)?

• 4

• -4

Multiple Choice

-2 - (-10) = ?

• -12
• 12
• 8
• -8

Multiple Choice

Order from least to greatest:  -5, -17, 3, 0 

• 3, 0, -5, -17
• 3, 0, -17, -5
• -17, -5, 0, 3
• -5, -17, 0, 3

​

The further LEFT the more LESS.

-4 < -2,

-2 < 0,

0 < 3

​

​< means less than, 

> means more than

​

Multiple Choice

33 + (-38)

• -5
• 5
• 71
• -71

Multiple Choice

19 - (-19)

• 0
• 36
• 26
• 38

Multiple Choice

-4 ______ 4

• < (less than)

• > (more than)

• = (equal to)

Multiple Choice

5-19

• 14
• 24
• -14
• -24

Multiple Choice

15 ______ -1

• >

• <

• =

Multiple Choice

What are the rules for subtracting integers?

• Change to multiplication and use the opposite of the second number.

• Keep the first #. Change subtraction sign to addition and Change the last number into its opposite.

• Keep the opposite of both numbers and then change it to add.

• Subtract like normal and keep the larger sign.

Least to Greatest: -12, -10, 0, 8, 15

Think about a number line: Remember the More Left, the More Less

Ordering Integers

Multiple Choice

Solve the problem using the given tiles.

• 9

• 10

• -9

• -10

Multiple Choice

Which is least to greatest?

• 1, 4, -13, -15, 0

• 1, 4, 0, -13, -15

• -15, -13, 0, 1, 4

• 0, -15, -13, 1, 4

Multiple Choice

Solve the problem using the given tiles.

• 7

• 5

• -7

• -5

Poll

How well do you feel about comparing and ordering integers?

• I am struggling. I need more practice.

• I'm okay at it.

• I know it and I am ready to be quizzed on it.

Multiple Choice

What problem is shown with this number line?

• 3 - 2

• 2 - 3

• 3 - (-2)

• 5 - 2

Multiple Choice

10 + (-4) 

• -6
• 6
• 14
• -14

Multiple Choice

16 - (-9) 

• -7
• 11
• 15
• 25

Multiple Choice

What is the opposite of 5?

• 5

• -5

• 1/5

• -1/5

Open Ended

What is absolute value?

Multiple Choice

Final question....

Which problem does not have a sum of (-4)?

• (-9) + (-5)

• 3 + (-7)

• (-9) + 5

• (-3) + (-1)

Multiple Select

The absolute value of a negative number is a positive number?

• True

• False

Thank you for playing!

• Remember office hours are today from 2 pm to 3:30 pm.

• If you have missing assignments please complete today.

• See you tomorrow in class.

Multiple Choice

Evaluate the expression.
|-2| + |-5|

• 7
• -7
• 3
• -3

Multiple Choice

Which statement best describes l -4 l?

• the distance from -4 to 4 on a number line

• the distance from 4 to 0 on a number line

• the distance from -4 to 0 on a number line

• the distance from 0 to 4 on a number line

Multiple Choice

I -808 I

• 808
• -808

Multiple Choice

|-20|

• 20

• -20

Multiple Choice

What is​ -∣ -4 ∣ ?

• 4

• -4

• 0

Multiple Choice

what is the absolute value of -|24|?

• -24

• 24

• 98

• 11

Multiple Choice

What is $$\left|-10\right|$$  ?

• 10

• 1

• -10

• -1

Multiple Choice

What is the absolute value of | 8 |?

• 8

• -8

• 0

• 16

Multiple Choice

|-20|

• 20

• -20

Multiple Choice

Evaluate.

| -56| - 10 =

• 66

• 36

• 26

• 46

Multiple Choice

Evaluate.

| -13| + | 24| =

• 12

• -37

• 37

• 10

Multiple Choice

Compare|-5| to the |-10|

• |-5| > |-10|
• |-5| = |-10|
• |-5| < |-10|

Multiple Choice

Compare these Integers using the symbols:

< > =

| -4 | _____ 4

• <

• >

• =

Multiple Choice

Order from Least to Greatest

|-24|, -23, -18, |15|

• -23, -18, |15|, |-24|

• |15|, -18, -23, |-24|

• -18, -23, |15|, |-24|

• |-24|, -24, -23. -18, |15|

Poll

How do you feel now about comparing and ordering integers?

• Still lost..

• Average

• Feel so much better!!!