Multi Step Equations (one, many, no solution)

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Tags

CCSS.8.EE.C.7B

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions when any value for the variable satisfies the equation, often resulting in an identity.

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 4 - 6x - 2 = -2(3x - 1)

Back

infinitely many solutions

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 3x + 2(4x - 4) = 3

Back

x = 1

Tags

CCSS.8.EE.C.7B

Front

Which equation has a solution of x = 1? 2x + 1 = 12, 5x - 2 = 3, x + 1 = x - 1, 5 - x = 6

Back

5x - 2 = 3

Front

Describe the solution set for: 2(x + 5) = 2x + 5

Back

no solution

Tags

CCSS.8.EE.C.7A

Front

What is the first step in solving a multi-step equation?

Back

The first step is often to simplify both sides of the equation by combining like terms or distributing.

Tags

CCSS.8.EE.C.7B

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.

Tags

CCSS.6.EE.B.7

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

Tags

CCSS.7.EE.A.1