Solving Linear Equations

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form ax + b = c, where a, b, and c are constants.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

How do you isolate a variable in a linear equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.7.EE.B.4A

Front

What does it mean to solve for x in an equation?

Back

Solving for x means finding the value of x that makes the equation true.

Front

What is the first step in solving the equation 5 + 3x = 8x - 15?

Back

The first step is to move all terms involving x to one side and constant terms to the other side.

Front

What is the solution to the equation 9x + 2 = 5?

Back

The solution is x = 1/3.

Tags

CCSS.7.EE.B.4A

Front

How do you check if your solution to a linear equation is correct?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 2 - 4x = 3x - 12?

Back

The solution is x = 2.

Front

What is the value of x in the equation x - 5 = 7?

Back

The value of x is 12.

Tags

CCSS.6.EE.B.7

Front

How do you solve the equation -4x = 24?

Back

You divide both sides by -4 to isolate x, resulting in x = -6.

Tags

CCSS.6.EE.B.7

Front

What is the importance of balancing an equation when solving for a variable?

Back

Balancing an equation ensures that both sides remain equal after performing operations, which is essential for finding the correct solution.

Tags

CCSS.6.EE.B.7