Solving Equations Final Exam Review

Front

What is the first step to isolate the variable in the equation x + 7 = 12?

Back

Subtract 7 from both sides. The solution is x = 5.

Front

Back

Add 8 to both sides, then multiply by 6. The solution is z = 48.

Front

What is the simplified form of the equation 2c + 3 + 2 + c = 23?

Back

Combine like terms to get 3c + 5 = 23, then solve for c. The solution is c = 6.

Front

What is the solution to the equation 6x = 6?

Back

Divide both sides by 6. The solution is x = 1.

Front

How do you solve the equation 22 = 3e + 7?

Back

Subtract 7 from both sides, then divide by 3. The solution is e = 5.

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 on one side and all other terms are on the other side.

Front

What is the principle of balancing equations?

Back

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

Front

What is the solution to the equation x - 4 = 10?

Back

Add 4 to both sides. The solution is x = 14.

Front

How do you solve the equation 5y + 3 = 18?

Back

Subtract 3 from both sides, then divide by 5. The solution is y = 3.

Front

What is the solution to the equation 3(x + 2) = 15?

Back

Divide both sides by 3, then subtract 2. The solution is x = 3.