Equations with variables on both sides

Front

What is the first step to solve the equation 1 + 4n - 6n = 1 - 8n?

Back

Combine the like terms 4n + -6n.

Front

Where is the first mistake in the equation if someone divides by -50?

Back

Dividing by -50 is the first mistake.

Front

What is the first mistake if someone subtracts 3 on both sides of an equation?

Back

Subtracting 3 on both sides is the first mistake.

Front

What is the first step to solve the equation -3(x - 2) = -8 + 9b?

Back

Distribute -3 to the x and -2.

Front

What operation did Jacob perform to go from Step 1 (5x + 9 = 2x - 3) to Step 2 (3x + 9 = -3)?

Back

He subtracted 2x from both sides of the equation.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms means to add or subtract terms that have the same variable and exponent.

Front

What is the purpose of distributing in an equation?

Back

Distributing is used to eliminate parentheses by multiplying each term inside the parentheses by the term outside.

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both the left and right sides of the equal sign.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving the equation 2(x + 3) = 12?

Back

Distribute 2 to both x and 3.