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 is the purpose of combining like terms in an equation?

Back

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

Tags

CCSS.8.EE.C.7B

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Tags

CCSS.8.EE.C.7B

Front

What is the first step in solving the equation 3w + 5 = 14?

Back

The first step is to subtract 5 from both sides of the equation.

Tags

CCSS.7.EE.B.4A

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 7x - 3x - 8 = 24?

Back

The solution is x = 8.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 8x + 2 + 3x + 5 = x + 12?

Back

The solution is x = 1/2.

Front

What is the solution to the equation 4x + 1 = 7x - 5?

Back

The solution is x = 2.

Front

What is the solution to the equation 3(x - 2) = 18?

Back

The solution is x = 8.

Tags

CCSS.7.EE.B.4A