Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation where the variable appears on both sides of the equal sign, requiring manipulation to isolate the variable.

Front

How do you solve the equation 5x - 14 = 8x + 4?

Back

x = -6

Front

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

Back

Combine like terms by moving all terms involving the variable to one side of the equation.

Front

Solve the equation: 7x - 4 = 3 + 8x.

Back

x = -7

Front

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

Back

To manipulate the equation so that the variable is alone on one side of the equal sign.

Tags

CCSS.6.EE.B.7

Front

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

Back

f = -6

Front

What is a T-chart and how is it used in solving equations?

Back

A T-chart is a tool used to organize values of variables and their corresponding outputs, helping to visualize solutions.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Solve the equation: -x - 11 = 2x + 4.

Back

x = -5

Front

What is the solution to the equation 7x = 3x + 24?

Back

x = 6

Front

What is the importance of checking your solution in an equation?

Back

To verify that the solution satisfies the original equation, ensuring accuracy.

Tags

CCSS.8.EE.C.7B