Generating Equivalent Expressions

Topic 4-6 and 4-7​

Generating Equivalent Expressions

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SY 2022-2023​

Open Ended

Do you think Juwon is correct? Why or why not?

Let's Test it out!

Let's try another value for n.

What does the distributive property even mean?

3(x + 6)

Distributive Property Explained...

Multiple Choice

1.) Choose the equivalent expression for the given expression: 2(r + y)

• 3ry

• 2r + y

• 2r + 2y

• 3r + 3y

Multiple Choice

2.) Use the distributive property to find an equivalent expression: 5(2f + 4)

• 10f + 4

• 10f + 9

• 10f + 20

• 30f

Multiple Choice

3.) Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)

• 4(9x + 8)

• 2(18x + 12)

• 12(3x + 3)

Open Ended

Are 6(n + 3) − 4 and 6n + 14 equivalent expressions? Why or why not?

Multiple Select

4.) Select each expression that is equivalent to -5(n + 4).

• -5n + 4

• -5n - 20

• -15 - 5n - 5

• -5(n + 3) - 5

• -5n + 54

What are like terms?

Multiple Choice

5.) Simplify the expression: 3x + 2x

• 5x
• x
• 6x
• 5

Multiple Choice

6.) a + a + a + a

• a + 4

• 4a

• $$a^4$$  

• 4a + 4

Multiple Choice

7.) Simplify the expression

6(x + 2) - 4

• 6x + 12

• 6x + 8

• 2x + 8

• 14x

Multiple Choice

8.) Simplify the expression: 2x + 1 + 7x 

• 10x
• 10
• 9x + 1
• 9 + 1x

Multiple Select

9.) Select all of the expressions that are equivalent to 10j + 8k.

• 4(5j + 2k)

• (5j + 4k)2

• 2(5j + 4k)

• 18jk

• 5(2j + 3k)

Multiple Choice

10.) Which expression will have the same value as 3(4x + 9) ‒ 6x for all values of x?

• x + 12

• x + 27

• 6x + 12

• 6x + 27

Fill in the Blanks

11.) To make the expression 4x – 2 + □(2x + 4) equivalent to 2(6x + 7), what must be the value in the box?