Equivalent Expressions

Front

What is an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression for all values of the variable(s) involved.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Simplify the expression: 5(2f + 4)

Back

10f + 20

Front

Combine like terms: 6y + 22y + y

Back

29y

Front

What is the formula for the perimeter of a rectangle?

Back

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

Front

If the length of a rectangle is 4x and the width is 5, what is the area?

Back

The area A is given by A = length × width = 4x × 5 = 20x.

Front

Simplify the expression: 14(b – 10)

Back

14b – 140

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, such as 3x and 5x.

Front

What is the area of a rectangle with length 2x and width 9?

Back

The area A is A = length × width = 2x × 9 = 18x.