Distribute, Combine like terms, and Solve

Front

What is the process of distributing in algebra?

Back

Distributing involves multiplying a single term by each term inside a set of parentheses. For example, in the expression a(b + c), you would calculate ab + ac.

Front

How do you combine like terms in an expression?

Back

Combining like terms means adding or subtracting terms that have the same variable raised to the same power. For example, in 3x + 4x, you combine to get 7x.

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value of the variable that makes the equation true. For example, in the equation x + 2 = 5, solving gives x = 3.

Front

Solve for x: 43 = -3x - 4(-x - 9)

Back

x = 7.

Front

Solve for x: 5x + 4(4x - 21) = -84

Back

x = 0.

Front

Solve for x: 6x - 3(7x + 16) = 27

Back

x = -5.

Front

Solve for x: 7x + 2(4x + 5) = 145

Back

x = 9.

Front

Solve for x: -34 = -2x - 2(-3x - 7)

Back

x = -12.

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 multiple terms inside parentheses.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 5x are like terms, while 2x and 3y are not.