Solving Equations with Variables on Both Sides

Front

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

Back

Isolate one of the variables by moving terms involving that variable to one side of the equation.

Front

Solve for x: 7x = 4x + 33

Back

x = 11

Front

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

Back

To isolate a variable means to get that variable alone on one side of the equation, making it easier to solve.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

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

Back

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

Front

Solve for f: f - 4 = 6f + 26

Back

f = -6

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form ax + b = c.

Front

Solve for p: 14p - 8 = 22 + 20p

Back

p = -5

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of the equation have the same value.

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.