Simplify Expressions

Front

What is the formula for the perimeter of a triangle with sides of length a, b, and c?

Back

The perimeter P of a triangle is given by P = a + b + c.

Front

How do you simplify the expression 2x + 1 + 7x?

Back

Combine like terms: 2x + 7x = 9x, so the simplified expression is 9x + 1.

Front

What is the formula for the perimeter of a rectangle with length l and width w?

Back

The perimeter P of a rectangle is given by P = 2l + 2w or P = 2(l + w).

Front

If the sides of a triangle are represented as 2x, 3x, and 4x, what is the expression for the perimeter?

Back

The perimeter P is given by P = 2x + 3x + 4x = 9x.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the perimeter of a rectangle with length 5 and width 3?

Back

The perimeter P is P = 2(5) + 2(3) = 10 + 6 = 16.

Front

How do you find the perimeter of a triangle with sides represented by variables?

Back

Add the expressions for each side together to find the perimeter.

Front

What is the simplified form of the expression 4x + 6 + 2x?

Back

Combine like terms: 4x + 2x = 6x, so the simplified expression is 6x + 6.

Front

What is the perimeter of a rectangle with expressions for length and width as 3x + 2 and 2x + 1 respectively?

Back

The perimeter P is P = 2(3x + 2) + 2(2x + 1) = 6x + 4 + 4x + 2 = 10x + 6.

Front

What is the expression for the perimeter of a triangle with sides 5x, 3x, and 2x?

Back

The perimeter P is P = 5x + 3x + 2x = 10x.