Solving Equations/ Review

Front

What is the first step to solve the equation 5(y - 3) + 2y = 27?

Back

Distribute 5 to both terms in the parentheses: 5y - 15 + 2y = 27.

Front

How do you isolate the variable in the equation x - 62 = 123?

Back

Add 62 to both sides to isolate x: x = 123 + 62.

Front

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

Back

a = 5.

Front

What is the first step to solve the equation -5t + 9 = 24?

Back

Subtract 9 from both sides: -5t = 24 - 9.

Front

What is the solution to the equation 4x - 9x + 3 = -32?

Back

Combine like terms to get -5x + 3 = -32, then solve for x.

Front

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

Back

It means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the purpose of checking your solution after solving an equation?

Back

To verify that the solution satisfies the original equation.

Front

What is the solution to the equation 2a = 5?

Back

a = 2.5.

Front

What is the process of solving an equation called?

Back

Algebraic manipulation.

Front

What is the solution to the equation 3x + 4 = 19?

Back

x = 5.