Unit 2: Lesson 6 2020

Front

What is the process of combining like terms in an algebraic expression?

Back

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

Front

How do you simplify the expression (3x + 5) + (2x + 3)?

Back

You combine like terms: (3x + 2x) + (5 + 3) = 5x + 8.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you apply the distributive property to simplify 5(x - 4) + (2x - 7)?

Back

Distribute: 5x - 20 + 2x - 7 = 7x - 27.

Front

What does it mean to subtract an expression, such as in (-5x + 6) - (-2x - 7)?

Back

Subtracting an expression means to distribute the negative sign and then combine like terms.

Front

How do you simplify the expression (-5x + 6) - (-2x - 7)?

Back

Distribute the negative: -5x + 6 + 2x + 7 = -3x + 13.

Front

What is the Greatest Common Factor (GCF) of two numbers?

Back

The GCF is the largest number that divides both numbers without leaving a remainder.

Front

How do you factor the expression 36x + 45 using the GCF?

Back

The GCF of 36 and 45 is 9. Factor it out: 36x + 45 = 9(4x + 5).

Front

What is the process of rewriting an expression as a product of its factors?

Back

Factoring involves expressing a sum or difference as a product of its factors, often using the GCF.

Front

How do you simplify the expression (4y - 8) - (3y - 9)?

Back

Distribute the negative: 4y - 8 - 3y + 9 = y + 1.