like terms

Front

What are like terms in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms?

Back

To combine like terms, you add or subtract the coefficients of the terms that have the same variable. For example, 3x + 5x = (3+5)x = 8x.

Front

What is the distributive property?

Back

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

Front

Simplify the expression: 4(-2z + 5x + 6).

Back

-8z + 20x + 24.

Front

What is the result of simplifying the expression: 12X - 8 - 12?

Back

12X - 20.

Front

What is the result of combining the like terms: -6k + 7k?

Back

K.

Front

How do you divide a polynomial by a constant?

Back

To divide a polynomial by a constant, divide each term of the polynomial by that constant. For example, (20a + 14b + 30c) divided by 2 results in 10a + 7b + 15c.

Front

What is the sum of the like terms: 5Z + 11Z?

Back

16Z.

Front

What is a coefficient in algebra?

Back

A coefficient is a numerical factor in a term of an algebraic expression. For example, in 4x, 4 is the coefficient.

Front

What is a variable in algebra?

Back

A variable is a symbol used to represent an unknown value. Common variables include x, y, and z.