How Many Solutions?

Front

What does it mean if an equation has infinite solutions?

Back

Any value for x will make the equation true.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has one solution?

Back

There is exactly one value of x that satisfies the equation.

Tags

CCSS.8.EE.C.7B

Front

What does it mean if an equation has no solution?

Back

There is no value of x that can satisfy the equation.

Tags

CCSS.8.EE.C.7A

Front

Solve for x: 8 - 4x = -4x + 8

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

Solve for x: 3x + 1 = 12x - 1

Back

One solution.

Front

Solve for x: 2(3x - 1) - (-5 - x) = 7x + 3

Back

Infinite solutions.

Tags

CCSS.8.EE.C.7A

Front

Solve for x: 3w + 1 = 12w + 1

Back

One solution.

Front

What is the first step in solving the equation 3x + 1 = 12x - 1?

Back

Isolate the variable x by moving terms involving x to one side.

Front

What is the significance of like terms in an equation?

Back

Like terms can be combined to simplify the equation.

Tags

CCSS.7.EE.A.1

Front

What is the process of checking a solution in an equation?

Back

Substituting the solution back into the original equation to verify if both sides are equal.

Tags

CCSS.8.EE.C.7B