Solutions to Equations

Front

What is the solution to the equation 2x = 10?

Back

x = 5

Front

How do you isolate y in the equation y + 4.6 = 12?

Back

Subtract 4.6 from both sides to get y = 7.4.

Front

What is the solution to the equation 8w = 64?

Back

w = 8

Front

How do you solve the equation x + 40 = 56?

Back

Subtract 40 from both sides to get x = 16.

Front

What is the solution to the equation x = 10?

Back

x = 10 is already isolated.

Front

What is the first step in solving a linear equation?

Back

Identify the variable and isolate it on one side of the equation.

Front

What does it mean to isolate a variable in an equation?

Back

To isolate a variable means to manipulate the equation so that the variable is alone on one side.

Front

What operation would you use to solve the equation 3x = 15?

Back

Divide both sides by 3 to get x = 5.

Front

How can you check if x = 5 is a solution to the equation 2x = 10?

Back

Substitute x = 5 into the equation: 2(5) = 10, which is true.

Front

What is the solution to the equation y - 3 = 7?

Back

y = 10 (add 3 to both sides).