Equivalent Expressions

Look at the list of expressions below. 4x + 5 - x - 4 3(x + 3) 3x + 9 12 + 3x - 3 Which expressions in the list are equivalent?

• a and d only

• b, c and d only

• b and c only

• All of them

Which of the following statements is true?

• shows 3 + 2x + (−4) is equivalent to 1 + 2x.

• shows 2(−3 + x) is equivalent to −6 + 2x.

• shows (−3 + x) + 3 + x is equivalent to 6 + 2x.

• shows 3 + 2x + −4 − x is equivalent to x.

Which expression is NOT equivalent to 4(2x + 6) + 5 × 3?

• 4(2x + 6) + 15

• 4(8x) + 5 × 3

• 4(2x) + 4(6) + 15

• 8x + 39

Which expression is equivalent to 3(x + 2)?

• 3x + 5

• 3x + 2

• 3x + 6

• Not Here

If someone gave the expression 2x²+2x+2 for these tiles, what would be an equivalent expression?

• 4X+4

• 4X²+4X

• 2(X²+X)

• 2(X²+X+1)

If someone gave the expression 2(X²+2X+3) for these tiles, what would be an equivalent expression?

• 2X²+2X+3

• 2X²+4X+6

• 6X²+6

• X²+2X+6

Look at the model. Which of the following algebraic expressions could it represent? Green represents x and yellows represent 1.

• 3x + 4 + 2x + 1

• 7x + 3x

• 3x + 2x

• 4 + 1

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:

• 3(4x+5)

• 3(4x-6)

• 4(4x-3)

• 4(3x-4)

• 8x-(4⋅4)+4x

Which answer choice is equivalent to:

4(2x-5)+6x

Select all that apply.

• 2(7x-10)

• 14x-20

• 20-14x

• 14x-5

• 8x-20+6x