Algebraic Perimeter and Algebra

• 12

• 11

• -5.5

• 13

A rectangle has a length of 3x + 1 units and a width of 2x + 7 units. Select each algebraic expression that could represent the perimeter of the rectangle. (Make sure to select 2 or more equations!)

• 3x + 1 + 2x + 7

• 6x + 2 + 4x + 14

• 2(3x + 1) + 2(2x + 7)

• (3x + 1)(2x + 7)

• 3x + 1 + 3x + 1 + 2x + 7 + 2x + 7

Place the correct word to label each part of the expression.

a

b

c

d

Operation

Constant

Variable

Coefficient

What is the simplified expression for the diagram shown?

Determine if the two expressions are equal and explain your answer. The two expressions are ​ (a)   because when you simplify 5x - 4 - x + 2, you get (b)   .

• 4x - 2

• 5x - 2

• x+2

• equal

• not equal

Evaluate responses using AI:

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Write an algebraic expression in simplest form to represent the perimeter of the triangle shown if all sides of the triangle are the same length. Do not include any spaces in your answer. The simplified perimeter is

Write the expression that is represented with the given algebra tiles.

Write the simplified algebraic expression for the given algebraic tiles.