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 an 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.6.EE.B.7

Front

What is the solution to the equation x + 7 = 28?

Back

x = 21

Tags

CCSS.6.EE.B.7

Front

What is the solution to the equation 3x + 6 = 21?

Back

x = 5

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation -20 = -4x - 6x?

Back

x = 2

Tags

CCSS.8.EE.C.7B

Front

What is the solution to the equation 10 = 3x - 12?

Back

x = 22/3

Tags

CCSS.7.EE.B.4A

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set.

Tags

CCSS.8.EE.C.7A

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with x.

Tags

CCSS.7.EE.B.4A

Front

What is the definition of a coefficient in an equation?

Back

A coefficient is a numerical factor that multiplies a variable in an equation.

Tags

CCSS.6.EE.A.2B