2.4 Solve Equations with Variables on both sides

Front

What is the first step to solve the equation 9 + 2a = -3 - 4a?

Back

Combine like terms by adding 4a to both sides: 9 + 2a + 4a = -3.

Front

How do you isolate the variable 'a' in the equation 2a + 4 = 7 + a?

Back

Subtract 'a' from both sides: 2a - a + 4 = 7.

Front

What is the solution to the equation (2/3)a + 1 = 16 - a?

Back

Combine like terms and isolate 'a': (2/3)a + a = 15.

Front

In the equation 22 + 2a = 37 + 6 + a, how do you simplify both sides?

Back

Combine constants on the right side: 22 + 2a = 43 + a.

Front

What is the final step to solve the equation 8 - 3a + 12 = 2a?

Back

Combine like terms and isolate 'a': 20 - 3a = 2a.

Front

What does it mean to have variables on both sides of an equation?

Back

It means that the variable appears on both the left and right sides of the equation, requiring manipulation to isolate it.

Front

What is the importance of combining like terms in solving equations?

Back

Combining like terms simplifies the equation, making it easier to isolate the variable.

Front

How do you check if your solution for 'a' is correct?

Back

Substitute the value of 'a' back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 9 + 2a = -3 - 4a?

Back

a = -2.

Front

What is the solution to the equation 2a + 4 = 7 + a?

Back

a = 3.