Solving Equations

Front

What is the first step to solve the equation m - 7 + 5m = 11?

Back

Combine like terms: m + 5m - 7 = 11.

Front

How do you isolate the variable in the equation 5 = 7s - 9?

Back

Add 9 to both sides: 5 + 9 = 7s.

Front

What is the solution to the equation ¾ x + 7 = 22?

Back

x = 20.

Front

What does the equation 3y = -15 represent?

Back

It represents a linear equation where y can be isolated to find its value.

Front

How do you solve for x in the equation -30 - 5x = 120?

Back

Add 30 to both sides and then divide by -5.

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

It means to add or subtract terms that have the same variable raised to the same power.

Front

What is the solution to the equation 3y = -15?

Back

y = -5.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the purpose of isolating the variable in an equation?

Back

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