Distributive Property, Factoring, Etc

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

What are terms in an expression?

Back

Terms are the parts of an expression that are added or subtracted. For example, in the expression 2x + 3y + 5x, the terms are 2x, 3y, and 5x.

Front

What is a coefficient?

Back

A coefficient is a number that is multiplied by a variable in an expression. For example, in 4x, 4 is the coefficient.

Front

What is a variable?

Back

A variable is a symbol (often a letter) that represents an unknown number in an expression or equation. For example, in 2x + 3, x is the variable.

Front

What is a constant in an expression?

Back

A constant is a fixed value that does not change. In the expression 2x + 5, 5 is the constant.

Front

How do you evaluate the expression 2 x 4 ÷ 2?

Back

To evaluate 2 x 4 ÷ 2, first multiply 2 by 4 to get 8, then divide 8 by 2 to get 4.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width. For example, if a rectangle has a length of 5 and a width of 3, the area is 5 x 3 = 15.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components (factors) that, when multiplied together, give the original expression. For example, factoring 6x gives 2 * 3 * x.

Front

What is the value of 3^4?

Back

3^4 means 3 multiplied by itself 4 times: 3 x 3 x 3 x 3 = 81.

Front

What is the result of 5 x (6 - 3)?

Back

To evaluate 5 x (6 - 3), first calculate the expression in the parentheses: 6 - 3 = 3. Then multiply: 5 x 3 = 15.