Combining Like Terms and Distributive Property Positive Only

Which representation below is equivalent to 2x – (x – 1)? Remember positive tiles are shaded and the opposite (negative) tile is unshaded. There may be more than one correct answer.

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When the expression mat is simplified, which expression below is the result?(You may need to use Distributive Property, zero pairs, flip, and combining like terms)

• 2x + 7

• -x + 3

•  3

•  1

Solve for x. Make sure to only put the number for your answer. No need for "x =".

Mathematical Equivalence

ON

Combining two or more like terms simplifies an expression by summing constants and summing those variable terms in which the same variables are raised to the same power.  For example, ___ ___ ____ in the expression 3x+7+5x−3+2x2+3y2 gives 8x+4+2x2+3y2.  When working with algebra tiles, ___ ___ ___ involves putting together tiles with the same dimensions.

• Combining Like Terms

• Combining Like Expressions

• Omitting Negative Numbers

• Substituting Even Numbers

Simplify the expression by combining like terms:

2x + 1 + 7x

• 10x

• 10

• 9x + 1

• 9 + 1x

Simplify the expression by combining like terms:

3x + 2x

• 5x

• x

• 6x

• 5

Simplify the expression by combining like terms:

-2y + 8 + 7y + 5

• -5y-13

• 9y+13

• 5y+13

• 9y-13

Simplify

2(4y -2) -3(y +5)

Mathematical Equivalence

ON

Simplify the expression by combining like terms:

-10x + 15 - 3x + 2

• 13x² + 17

• -13x² + 13

• -13x + 17

• -7x + 17

Simplify the expression by combining like terms:

5a + 2b - 3a + 4

• 8a + 2b + 4

• 2a + 2b + 4

• 8ab

• 4ab + 4