Combining Like Terms/Distributing

Front

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

Back

Combining like terms means to simplify an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

Simplify by combining like terms: 5a + 2b - 3a + 4

Back

2a + 2b + 4

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you multiply a by each term inside the parentheses.

Front

Distribute the following: 10(z - 6)

Back

10z - 60

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as the 5 in 5x.

Front

Distribute: 3x(9 + 2y - 3z)

Back

27x + 6xy - 9xz

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables.

Front

Which of the following is equivalent to 8(5f - 7) + 3f?

Back

43f - 56

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents a number in an expression or equation.

Front

Simplify: 3f - 5g - f - 2g

Back

2f - 7g