Variables on Both Sides

Front

What is a variable in an equation?

Back

A symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean to solve an equation with variables on both sides?

Back

It involves isolating the variable by moving terms from one side of the equation to the other.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone.

Front

What is the first step in solving the equation 7w + 5 = 3w - 15?

Back

Subtract 3w from both sides to begin isolating the variable w.

Front

What is the solution to the equation 7w + 5 = 3w - 15?

Back

w = 5.

Front

What is the solution to the equation 7x - 4 = 3 + 8x?

Back

x = -7.

Front

How do you simplify the equation 7(p + 9) = -21?

Back

Distribute 7 to both p and 9, then solve for p.

Front

What is the solution to the equation 7(p + 9) = -21?

Back

p = -6.

Front

What is the first step in solving the equation 2(x + 6) + 3 = 9 + 5x?

Back

Distribute 2 to both x and 6, then combine like terms.

Front

What is the solution to the equation 2(x + 6) + 3 = 9 + 5x?

Back

x = 2.