M1 Solving Equations with variables on both sides

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

Solve the equation 2(x + 6) + 3 = 9 + 5x.

Back

x = 2.

Front

Solve for the variable in the equation 10x + 9 = 4x - 9.

Back

x = -3.

Front

What is the first step to solve the equation 3x + 6 = 10 + 3x + 4x?

Back

Combine like terms 3x and 4x on the same side of the equation.

Front

What does it mean to 'distribute' in an equation?

Back

To multiply each term inside the parentheses by the term outside.

Front

What is a variable in an equation?

Back

A symbol, often a letter, that represents an unknown value.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side.

Front

What is the solution to the equation 5x - 3 = 2x + 6?

Back

x = 3.

Front

What is the first step in solving the equation 4x + 8 = 2x + 20?

Back

Subtract 2x from both sides.