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Multiple Choice

$$7+(+3)=$$  

• $$2$$  

• $$4$$  

• $$8$$  

• $$10$$  

Multiple Choice

 $5+(-2)=$  

•  $-7$  

•  $-3$  

•  $3$  

•  $7$  

Multiple Choice

 $2-(+4)=$  

•  $-6$  

•  $-2$  

•  $2$  

•  $6$  

Multiple Choice

 $-1-(-4)=$  

•  $3$  

•  $4$  

•  $5$  

•  $6$  

Multiple Choice

 $6+(+2)=$  

•  $4$  

•  $6$  

•  $8$  

•  $10$  

Multiple Choice

 $-4+(-3)=$  

•  $7$  

•  $1$  

•  $-7$  

•  $-12$  

Multiple Choice

 $3-(+2)=$  

•  $5$  

•  $1$  

•  $-1$  

•  $-5$  

Multiple Choice

 $-2-\left(-4\right)=$  

•  $-6$  

•  $-2$  

•  $2$  

•  $6$  

Multiple Choice

 $-8+\left(-2\right)=$  

•  $-10$  

•  $-6$  

•  $6$  

•  $10$  

Multiple Choice

 $6-\left(+3\right)=$  

•  $-3$  

•  $0$  

•  $3$  

•  $9$  

Multiple Choice

 $9+\left(-9\right)=$  

•  $-18$  

•  $-3$  

•  $0$  

•  $18$  

Multiple Choice

 $5-\left(-4\right)=$  

•  $3$  

•  $4$  

•  $8$  

•  $9$  

Multiple Choice

 $-5-\left(-3\right)=$  

•  $-8$  

•  $-2$  

•  $2$  

•  $8$  

Multiple Choice

 $-2-\left(+7\right)=$  

•  $9$  

•  $5$  

•  $-5$  

•  $-9$  

Multiple Choice

 $0-\left(-5\right)=$  

•  $1$  

•  $3$  

•  $5$  

•  $7$  

Consecutive Integers Word Problems

Solving word problems that are consecutive, consecutive-even and consecutive-odd integer problems.

Poll

Have you ever heard of consecutive integers?

• Yes

• No

• Not sure

Multiple Choice

The sum of two consecutive integers is 41.

What are the two expressions?

• Let x = 1st consecutive integer

  Let x+1 = 2nd consecutive integer

• Let x = 1st consecutive integer

  Let x+2 = 2nd consecutive integer

Multiple Choice

The sum of two consecutive integers is 41. What is the correct equation to find the integers?

• $x-x-2=41$

• $x+x+2=41$

• $x+x+1=41$

Multiple Select

Three consecutive integers add up to 36. What is the smallest of the three integers?
Let x = 1st integer
x+1 = 2nd integer
x+2 = 3rd integer

Which is the correct equation?

•  $x+x+1+x+2=36$  

•  $2x+3=36$  

•  $3x+3=36$  

Consecutive integers

Multiple Choice

The sum of three consecutive numbers is -30.  What is the smallest of the three numbers?

• -10
• -11
• -12
• -9

Multiple Choice

The sum of two consecutive integers is 123.  What is the smallest of the two integers?

• 60
• 61
• 62
• 63

Multiple Choice

Find four consecutive odd integers whose sum is 128.

• 32, 34, 37, 38
• 27, 29, 31, 33
• 29, 31, 33, 35
• 25, 27, 29, 31

Multiple Choice

Which of the following setups would be used to find four consecutive integers?

• n
  n+2
  n+4
  n+6
• n
  2n
  4n
  6n
• n+1
  n+2
  n+3
  n+4
• n
  n+1
  n+2
  n+3

Multiple Choice

Find three consecutive odd integers whose sum is -45.

• -15, -17, -19
• -17, -18, -19
• -13, -15, -17

Multiple Choice

Find two consecutive integers whose sum is -97.

• -48, 49
• 47, 50
• -49, -50
• -48, -49

Multiple Choice

The sum of two consecutive integers is 123.  What is the smallest of the two integers?

• 60
• 61
• 62
• 63

INTEGERS

Grade 7 Review

Absolute Value

• Is how many spaces a number is from zero.

• It is always POSITIVE

• It is annotated by |#|

Additive Inverses

• Numbers that have the same absolute value but opposite signs.

• eg. -11 and 11 are additive inverses

• The sum of additive inverses is always ZERO

• eg: -11 + 11 = 0

Multiple Select

Pick ALL the correct statements:

•  $\left|5\right|=-5$  

• Additive Inverse of 7 is -7
  

• Absolute Value of 5 is 5

• Additive Inverse of 3 is 3

•  $\left|-10\right|=10$  

To Add Integers

• Same signs ADD and keep the sign

• Different signs SUBTRACT and take the sign of the bigger number

Multiple Choice

Evaluate the following:    $-3\ +\ \left(-8\right)$  

• 5

• -5

• 11

• -11

Multiple Choice

Evaluate the following:    $-2+5$  

• 7

• -7

• 3

• -3

To Subtract Integers

• Rewrite the subtraction into addition of the opposite of the second number

• Then follow the same rules as addition

Multiple Choice

Evaluate the following:    $-6\ -\ 4$  

• -2

• 2

• 10

• -10

Multiple Choice

Which of the following is the correct rewriting of

 $7-\left(-8\right)$  

•  $-7+8$  

•  $7+8$  

•  $7-8$  

•  $-7+8$  

To Multiply and Divide Integers

• Ignore the signs and multiply / divide as you would normally.

• Then look at the signs and follow these rules:

• _{Same signs answer is always POSITIVE}

• _{Different signs answer is always NEGATIVE}

Poll

How is your understanding of this topic?

Integers

Review

What are integers?

• Integers include all Whole Numbers and their OPPOSITES

• Integers DO NOT include fractions, or decimals

What are opposites?

• numbers that are the same distance from zero on the number line in the opposite direction.

  
  

• Zero is neither positive or negative and does not have an opposite.

Multiple Choice

What is the opposite of -10?

• 0

• 10
  

•  $\frac{1}{10}$  

•  $\frac{10}{1}$  

You can do different math operations with integers.

Addition

Subtraction

Multiplication

Division

Adding Integers

Multiple Choice

 $-9\ +\ 2$  

• -11

• -18

• -7

• 11

Multiple Choice

 $80\ +\ 57$  

• 23

• 137

• -23

• -137

Multiple Choice

 $-32\ +\ 48$  

• 16

• 80

• -16

• -80

Subtracting Integers

• KEEP, CHANGE, CHANGE!

  
  

• What do we Keep, Change, Change?

   KEEP the sign of the first number the same, change subtraction to addition, and change the sign of the second number ! 

• What happens after the Keep, Change, Change is complete?

   Use addition rules !  

Multiple Choice

Rewrite

 $2\ -\ \left(-5\right)$  

•  $2+5$  

•  $2+\left(-5\right)$  

•  $-2+5$  

•  $2-\left(-5\right)$  

Multiple Choice

 $3-\left(-7\right)$  

• -4

• 4

• -10

• 10

Multiple Choice

 $-18-7$  

• -25

• 11

• 25

• -11

Multiplying & Dividing Integers

Multiple Choice

 $\frac{2}{2}$  

• 4

• 0

• 1

Multiple Choice

 $\left(-3\right)\left(-9\right)$  

• -12

• -6

• 27

• -27

Multiple Choice

 $\left(-9\right)\left(-6\right)\left(2\right)$  

• -13

• 17

• 108

• -108

Integers

Integers are the set of whole numbers and their opposites.

Multiple Choice

What number is the opposite of -7?

• 0

• -7

• 7

• 10

Multiple Choice

• 5 $$>$$ -5

• 5 $$<$$ -5

• 5 $$=$$ -5

• 5 $$\ge$$ -5

Multiple Choice

• -9 $$<$$ -18

• -9 $$>$$ -18

• -9 $$\cong$$ -18

• -9 $$\le$$ -18

Multiple Choice

• -21 $$>$$ -17

• -21 $$\ge$$ -17

• -21 $$\le$$ -17

• -21 $$<$$ -17

Multiple Choice

• -12 $$=$$ 12

• -12 $$\ge$$ 12

• -12 $$<$$ 12

• -12 $$\cong$$ 12

Integers

Integers are the set of whole numbers and their opposites.

Multiple Choice

What number is the opposite of -7?

• 0

• -7

• 7

• 10

Multiple Choice

• 5 $$>$$ -5

• 5 $$<$$ -5

• 5 $$=$$ -5

• 5 $$\ge$$ -5

Multiple Choice

• -9 $$<$$ -18

• -9 $$>$$ -18

• -9 $$\cong$$ -18

• -9 $$\le$$ -18

Multiple Choice

• -21 $$>$$ -17

• -21 $$\ge$$ -17

• -21 $$\le$$ -17

• -21 $$<$$ -17

Multiple Choice

• -12 $$=$$ 12

• -12 $$\ge$$ 12

• -12 $$<$$ 12

• -12 $$\cong$$ 12

Multiple Choice

 $7+(+3)=$  

•  $2$  

•  $4$  

•  $8$  

•  $10$  

Multiple Choice

 $5+(-2)=$  

•  $-7$  

•  $-3$  

•  $3$  

•  $7$  

Multiple Choice

 $2-(+4)=$  

•  $-6$  

•  $-2$  

•  $2$  

•  $6$  

Multiple Choice

 $-1-(-4)=$  

•  $3$  

•  $4$  

•  $5$  

•  $6$  

Multiple Choice

 $6+(+2)=$  

•  $4$  

•  $6$  

•  $8$  

•  $10$  

Multiple Choice

 $-4+(-3)=$  

•  $7$  

•  $1$  

•  $-7$  

•  $-12$  

Multiple Choice

 $3-(+2)=$  

•  $5$  

•  $1$  

•  $-1$  

•  $-5$  

Multiple Choice

 $-2-\left(-4\right)=$  

•  $-6$  

•  $-2$  

•  $2$  

•  $6$  

Multiple Choice

 $-8+\left(-2\right)=$  

•  $-10$  

•  $-6$  

•  $6$  

•  $10$  

Multiple Choice

 $6-\left(+3\right)=$  

•  $-3$  

•  $0$  

•  $3$  

•  $9$  

Multiple Choice

 $9+\left(-9\right)=$  

•  $-18$  

•  $-3$  

•  $0$  

•  $18$  

Multiple Choice

 $5-\left(-4\right)=$  

•  $3$  

•  $4$  

•  $8$  

•  $9$  

Multiple Choice

 $-5-\left(-3\right)=$  

•  $-8$  

•  $-2$  

•  $2$  

•  $8$  

Multiple Choice

 $-2-\left(+7\right)=$  

•  $9$  

•  $5$  

•  $-5$  

•  $-9$  

Multiple Choice

 $0-\left(-5\right)=$  

•  $1$  

•  $3$  

•  $5$  

•  $7$