Distributive Property, Factoring and Combining Like Terms

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 does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power. For example, 3x + 4x = 7x.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents a number in mathematical expressions or equations.

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest number that divides two or more numbers without leaving a remainder. It is used in factoring expressions.

Front

How do you factor an expression using the GCF?

Back

To factor an expression using the GCF, first find the GCF of the terms, then divide each term by the GCF and write the expression as the GCF multiplied by the resulting expression.

Front

What is the result of 5r + 5r + 5r + 5r + 5r?

Back

The result is 5r, which can also be expressed as 5 times r, or 5r.

Front

What is the equivalent expression for 7(3 + g)?

Back

The equivalent expression is 21 + 7g, obtained by distributing 7 to both 3 and g.

Front

Combine like terms: 9c + 12d + 2c.

Back

The combined expression is 11c + 12d.

Front

What is the expression for factoring 63p - 18?

Back

The factored expression is 9(7p - 2), using the GCF of 9.

Front

What is the result of 5d + 4e + 7 + 3d - 4?

Back

The result is 8d + 4e + 3 after combining like terms.