Distributive Property & combing like terms

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum or difference.

Front

How do you apply the Distributive Property to the expression 4(2x + 3)?

Back

You multiply 4 by each term inside the parentheses: 4 * 2x + 4 * 3 = 8x + 12.

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.

Front

How would you combine the terms 3x + 5x?

Back

You would add the coefficients: 3x + 5x = (3 + 5)x = 8x.

Front

What is the result of applying the Distributive Property to -2(x - 5)?

Back

You distribute -2 to both terms: -2 * x + (-2) * (-5) = -2x + 10.

Front

What is the result of -9(2G + 3)?

Back

You distribute -9 to both terms: -9 * 2G + (-9) * 3 = -18G - 27.

Front

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

Back

You distribute -4: -4 * k + (-4) * (-7) = -4k + 28.

Front

What is the equivalent expression for 8(5f - 7) + 3f?

Back

First, distribute: 8 * 5f - 8 * 7 + 3f = 40f - 56 + 3f = 43f - 56.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable, such as the 4 in 4x.

Front

What is a constant in an algebraic expression?

Back

A constant is a fixed value that does not change, such as the number 5 in the expression 3x + 5.