Solving Equations with Variables on Both Sides Review

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and/or distribute to make the expression easier to work with.

Front

What is the solution to the equation 11x + x = 28?

Back

4x + 8 = 28.

Front

How do you solve the equation -5k + 10 = -2k - 14?

Back

Add 5k to both sides to get 10 = 3k - 14, then add 14 to both sides to get 24 = 3k, and finally divide by 3 to find k = 8.

Front

What is the solution for x in the equation 9x + 7 - 2x = 14?

Back

x = 1.

Front

How do you solve the equation -x - 2 = 2x - 8?

Back

Add x to both sides to get -2 = 3x - 8, then add 8 to both sides to get 6 = 3x, and finally divide by 3 to find x = 2.

Front

What is the solution for f in the equation f - 4 = 6f + 26?

Back

f = -6.

Front

What is a variable in an equation?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

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

Back

It means that the equation contains variables on both the left and right sides, requiring manipulation to isolate the variable.

Front

What is the first step in solving an equation with variables on both sides?

Back

The first step is to move all terms containing the variable to one side of the equation.

Front

What is the importance of combining like terms in an equation?

Back

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