Solve Equations and Inequalities with Variables on Both Sides

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Tags

CCSS.6.EE.A.2C

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Tags

CCSS.6.EE.B.8

Front

How do you solve an equation with variables on both sides?

Back

To solve an equation with variables on both sides, you can first move all terms involving the variable to one side and constant terms to the other side, then isolate the variable.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging the equation so that the variable is on one side by itself, making it easier to solve.

Front

What is the first step in solving the inequality 6x + 3 > 4x - 7?

Back

The first step is to subtract 4x from both sides to get 2x + 3 > -7.

Front

What is the solution to the inequality 7(x + 3) < 5x + 13?

Back

The solution is x < -4.

Front

How do you check if your solution to an inequality is correct?

Back

You can check your solution by substituting a value from the solution set back into the original inequality to see if it holds true.

Tags

CCSS.6.EE.B.5

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the value can be either less than or exactly equal to another value.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the equation 5x + 15 = 10x - 40?

Back

The solution is x = 11.

Front

What is the solution to the equation -2x + 18 = 2x + 40?

Back

The solution is x = -5.5.