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 if a linear equation has infinitely many solutions?

Back

It means that the equation represents the same line in a graph, and any point on that line is a solution.

Front

What is the solution to the equation -8 - x = x - 4x?

Back

x = 4

Front

What is the solution to the equation -7x - 3x + 2 = -8x - 8?

Back

x = 5

Front

What is the solution to the equation -5(2x - 9) = 2(x - 8) - 11?

Back

x = 6

Front

What does it mean if a linear equation has no solution?

Back

It means that the lines represented by the equations are parallel and will never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the equation 3x - 7 = 3(x - 3) + 2?

Back

Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

Front

What is the solution to the equation 7 - (5x - 13) = -25?

Back

x = 9

Tags

CCSS.6.EE.B.7

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation, if necessary, by combining like terms.

Tags

CCSS.8.EE.C.7B