Edited: PACE Unit 3 Learning Check #2

Front

What is the first step to solve the equation 4 - p = 29?

Back

Subtract 4 from both sides to isolate the variable p.

Front

How do you isolate x in the equation \(\frac{x}{6} - 2 = 12\)?

Back

Add 2 to both sides, then multiply both sides by 6.

Front

What is the solution to the equation \(\frac{x - 4}{7} = -2\)?

Back

Multiply both sides by 7, then add 4 to both sides to find x.

Front

What does the equation 2(13x - 1) = 180 represent?

Back

It is a linear equation that can be solved for the variable x.

Front

What is the goal when solving an equation?

Back

To isolate the variable.

Front

What is the process of checking your solution after solving an equation?

Back

Substitute the solution back into the original equation to verify.

Front

What is the importance of maintaining balance in an equation?

Back

Whatever you do to one side of the equation, you must do to the other side.

Front

What does it mean to isolate a variable?

Back

To manipulate the equation so that the variable is alone on one side.

Front

How can you solve for x in the equation 3x + 5 = 20?

Back

Subtract 5 from both sides, then divide by 3.

Front

What is the solution to the equation 5x - 10 = 0?

Back

Add 10 to both sides, then divide by 5 to find x = 2.