Distribution & Combine Like Terms

Front

What is the distributive property in algebra?

Back

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

Front

How do you apply the distributive property to the expression 7(y + 9)?

Back

You multiply 7 by both y and 9, resulting in 7y + 63.

Front

What does it mean to combine like terms in an expression?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the result of combining the like terms 3x + 5x?

Back

The result is 8x.

Front

How do you simplify the expression 2(4x - 7)?

Back

You distribute 2 to both terms, resulting in 8x - 14.

Front

What is the value of -8 - 2?

Back

The value is -10.

Front

How do you simplify the expression -4(-4d - 5)?

Back

You distribute -4 to both terms, resulting in 16d + 20.

Front

What is the result of simplifying (x - 6)4?

Back

The result is 4x - 24 after distributing 4 to both x and -6.

Front

What is a 'term' in algebra?

Back

A term is a single mathematical expression that can be a number, a variable, or a combination of both, separated by addition or subtraction.

Front

What is a 'coefficient' in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic term.