Substitutions in Equations Remediation

Front

What is a variable in an equation?

Back

A symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What does it mean to solve an equation?

Back

To find the value of the variable that makes the equation true.

Front

What is the equation for finding the value of x in 4 + x = 10?

Back

x = 10 - 4, so x = 6.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone.

Front

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

Back

x = 10 / 2, so x = 5.

Front

What does it mean for an equation to be balanced?

Back

Both sides of the equation have the same value.

Front

What is the first step to solve the equation 12 - x = 5?

Back

Rearrange it to isolate x: x = 12 - 5, so x = 7.

Front

What is the solution to the equation 5x + 4 = x + 6x?

Back

Combine like terms: 5x + 4 = 7x; then isolate x: 4 = 7x - 5x, so x = 2.

Front

What is the equation for finding the value of x in 2x = 10?

Back

x = 10 / 2, so x = 5.

Front

What does it mean to plug in a value for x?

Back

To substitute the value of x into the equation to check if it makes the equation true.