Solving Equations by Distributing and Combining Like Terms

Front

What is the process of distributing in algebra?

Back

Distributing involves multiplying a term outside of parentheses by each term inside the parentheses. For example, in 2(3x + 4), you would calculate 2*3x and 2*4.

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 are alike. For example, 3x + 5x = 8x.

Front

What does it mean if an equation has one solution?

Back

An equation has one solution if there is exactly one value for the variable that makes the equation true.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value for the variable that can satisfy the equation, often resulting in a contradiction.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions if any value for the variable makes the equation true, often resulting in an identity.

Front

Solve for x: 5x + 4 = 3x + 8

Back

x = 2.

Front

Solve for x: 2(3x + 4) - 2x = 28

Back

x = 5.

Front

Solve for g: 2g + 5g - 6 = 43

Back

g = 7.

Front

Solve for x: 5(x - 3) + 2x = 27

Back

x = 6.