FLASHCARD: Solving Equations (10/25)

Front

What is the first step to solve the equation 33 = 4a - 7?

Back

Add 7 to both sides to isolate the term with 'a': 33 + 7 = 4a.

Front

How do you isolate 'a' in the equation 4a = 40?

Back

Divide both sides by 4: a = 40 / 4.

Front

What is the solution to the equation -3a + 8 = 14?

Back

a = -2.

Front

What is the value of 'c' in the equation 4c - 6 = 2?

Back

c = 2.

Front

How do you solve the equation 5y + 34 = -2(-7y + 1)?

Back

Distribute -2, combine like terms, and isolate 'y' to find y = 4.

Front

What is the solution to the equation 5d - 6 = 9?

Back

d = 3.

Front

What does it mean to 'isolate a variable' in an equation?

Back

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 33 = 4a - 7?

Back

a = 10.

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.