Adding, Subtracting and Factoring Linear Expressions

Front

What is the result of adding the expressions (2x + 3) and (x + 4)?

Back

3x + 7

Front

How do you simplify the expression 1/2 (4x + 4) + (2x + 8)?

Back

4x + 10

Front

What is the result of the expression 2(x + 3) + (3x + 1)?

Back

5x + 7

Front

Can the expression 7x + 48y be factored?

Back

No, it can't be factored.

Front

How do you write a linear expression for the perimeter of a figure with sides represented by 4x and 4?

Back

The perimeter is 16x - 8.

Front

What is the definition of a linear expression?

Back

A linear expression is an algebraic expression in which each term is either a constant or the product of a constant and a single variable.

Front

What is the process of factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you combine like terms in an expression?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the perimeter of a rectangle with length represented by 4x and width represented by 2?

Back

The perimeter is 2(4x + 2) = 8x + 4.