Reveal Expressions

terms are separated by addition and subtraction signs.

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​What are terms?

​A like term has the same variable and exponent on the variable.

You collect like terms by adding the coefficients (the numbers in front) or like terms.

What is a like term?

Multiple Choice

• 8y+5
• 3y+3
• 7y+5
• 7y+4

Multiple Choice

• 9x+6
• 3x+4
• 3x-4
• 6x+4

Multiple Choice

n -10 +9n -3=

• 9n - 3

• 9n - 3

• 10n + 13

• 10n -13

​Remember to multiply the number on the outside of the ( ) to everything on the inside of the ( ).

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Distributive Property

Multiple Choice

What is the simplified version of this expression?  5(a+6)?

• 5a+6

• a+30 

• 5a+30

• 5a−30 

Multiple Choice

What is the simplified version of this expression?  7(5x -1 )

• 35x+ 7

• 35x - 7

• 35x - 1

• -35x - 7

Multiple Choice

Use distributive property to solve:

3(2c - 5)

• 3c + 15

• 6c - 15

• 9c - 5

• 6c + 15

Multiple Choice

8 + 2(6x + 9)

• 12x + 18

• 8x + 19

• 12x + 26

• 60x + 90

Multiple Choice

-8(6x + 3) 

• 48X+3
• -48X-3
• 14x+3
• -48x-24

Multiple Choice

-4(-4d - 5)

• -16d+20
• 16+20
• 16d+20
• 16s-20

Multiple Choice

3(y + 5) - 2y

• 5y + 5

• 6y

• 5y + 15

• y + 15

The same as adding like terms.

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Adding Linear Expressions

Multiple Choice

Add $$\left(8x+9\right)+\left(-6x-2\right)$$  

• $$-14x+7$$  

• $$2x+7$$  

• $$2x-11$$  

• $$-14x-11$$  

Multiple Choice

Add $$\left(5x+4\right)+\left(-8x-2\right)$$  

• $$-12x+6$$  

• $$-12x+2$$  

• $$-3x+2$$  

• $$-3x-6$$  

​Don't forget to KCC !!!

Subtracting Linear Expressions

Multiple Choice

(k + 3) - (3k - 5)

• -2k + 2

• -2k + 8

• 3k -3

• 4k + 8

Multiple Choice

(-8x + 1) - (8x - 1)

• 0

• -16x + 2

• 2

• -16x

Multiple Choice

(-6x - 11) - (-2x - 4)

• -4x - 7

• -8x - 7

• -4x - 15

• -8x - 15

Multiple Choice

(7x + 2) - (3x + 1)

• 2x + 5

• 15x + 7

• 9x + 10

• 4x + 1

Use the hockey stick method to find the biggest number divisible by both numbers. Keep going until the only number divisible is 1. Then multiply the numbers on the left side for the GCF.

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​GCF: Greatest Common Factor

Multiple Choice

What is the GCF of 18 and 24?

• 3
• 6
• 8
• 9

Multiple Choice

What is the greatest common factor (GCF) of 48 and 32x ?

• 8x²
• 16x²
• 16x
• 96x³

Multiple Choice

What is the greatest common factor of 20ab and 50b?

• 100a²b³
• 10

• 10ab²
• 10b

1. Find the GCF of the two numbers

2. Write the GCF on the outside of the ( )

3. Divide the GCF by each term and write the answer inside of the ( )

4. Keep the same operation
   
   

​Factor

Multiple Choice

Factor using GCF

12x + 9

• 3(4x + 3)

• x(12+9)

• 3(4x - 3)

• not factorable

Multiple Choice

Factor the binomial $$14t-26$$

• $$2(7t-13)$$

• $$4(7t-13)$$

• $$4(7t+13)$$

• $$14(2t+1)$$