Simplify Expressions

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter of a rectangle is given by the formula P = 2(length + width).

Front

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

Back

Combine like terms: 2x + 7x + 1 = 9x + 1.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its sides: P = side1 + side2 + side3.

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 a 'like term' in algebra?

Back

Like terms are terms that have the same variable raised to the same power.

Front

How do you find the perimeter of a rectangle with length 5x and width 3x?

Back

Use the formula P = 2(length + width): P = 2(5x + 3x) = 16x.

Front

What is the simplified form of the expression 4a + 3a - 2?

Back

Combine like terms: 4a + 3a - 2 = 7a - 2.

Front

What is the perimeter of a rectangle with a perimeter expression of 12x?

Back

The perimeter is 12x, which means the sum of all sides equals 12x.

Front

How do you combine the terms in the expression 5x + 2x + 3?

Back

Combine like terms: 5x + 2x = 7x, so the expression simplifies to 7x + 3.

Front

What is the perimeter of a triangle with sides 3a, 4a, and 5a?

Back

The perimeter is P = 3a + 4a + 5a = 12a.