Identifying and Generating Equivalent Algebraic Expressions

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

• 10f + 4
• 10f + 9
• 10f + 20
• 30f

Which answer choice is equivalent to:

3(2x+8)

Select all that apply.

• 3x+20+2x+4+x

• 6x+24

• 6x+8

• 5x+11

• 6(x+4)

Which answer choice is equivalent to:

5x+3(x-6)

Select all that apply.

• 8x-18

• 5x+3x-18

• 18+8x

• ½(16x-36)

• 18-8x

Simplify by combining like terms:
5a + 2b - 3a + 4

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Which of these is the correct use of the distributive property for the following expression?
5(2x - 8)

• 10x - 8
• 10x + 40
• 7x - 3
• 10x - 40

Simplify the following expression by combining like terms:
3(2x - 4) + 6x - 1

• 12x - 13
• 12x - 5
• 11x - 2
• -x

Simplify the expression: 3x + 2x

• 5x
• x
• 6x
• 5

y + x + y + y + x 

• 2 + 3 
• x + y 
• 2x + 3y 
• 5xy 

Simplify the following expression:

10x + 15 + 3x + 2

• 13x² + 17

• 13x² + 13

• 13x + 17

• 7x + 17

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

• 4(9x + 7)
• 4(9x + 8)
• 2(18x + 12)
• 12(3x + 3)